## List of Publications: Chi-Kwong Li

Research papers include:

• 2015 JMAA Ames Awards paper [288].
• papers co-authored with undergraduate students (with * next to their names): [49, 55, 65, 72, 80, 83, 88, 95, 101, 102, 103, 110, 113, 121, 123, 146, 151, 170, 174, 191, 192, 199, 220, 224, 228, 235, 242, 243, 248, 251, 257, 267, 275, 282, 296, 298, 304, 312];
• papers co-authored with graduate students (with ** next to their names):
[62, 71, 100, 119, 132, 134, 135, 138, 140, 141, 163, 176, 177, 185, 186, 188, 193, 195, 199, 205, 207, 210, 275, 284, 289, 297, 304, 308, 309, 310, 311];
• classroom notes: [4, 8, 93, 101, 187];
• an article in Mathematics Magazine: [119];
• two articles in American Mathematical Monthly: [128, 144];
• an invited article dedicated to Professor Y.C. Wong: [81];
• a synopsis in a conference report: [17];

## 1990 or before:

{1.} The generalized spectral radius, numerical radius and spectral norm (with T.Y. Tam and N.K. Tsing), Linear and Multilinear Algebra 16 (1984), 215-237.

{2.} A note on Miranda's results about the characteristic values and three types of singular values of a complex matrix, Linear and Multilinear Algebra 16 (1984), 297-303.

{3.} On the extremal solutions for capacitated network problems, Linear and Multilinear Algebra 18 (1985), 117-125.

{4.} Characterization of doubly superstochastic matrices by network flows (with C.K. Chu), Int. J. Math. Sci. Technol. 17, No. 1 (1986), 127-129.

{5.} The decomposable numerical radius and numerical radius of a compound matrix, Linear Algebra Appl. 76 (1986), 45-58.

{6.} On the higher numerical radius and spectral norm, Linear Algebra Appl. 80 (1986), 55-70.

{7.} The $c$-spectral, $c$-radial and $c$-convex matrices, Linear and Multilinear Algebra 20 (1986), 5-15.

{8.} N-color mapping theorem (with M.K. Siu and K.M. Tsang), Hong Kong Assoc. for Sci. and Math. Bulletin 11 (1986), 1-5.

{9.} A generalization of spectral radius, numerical radius and spectral norm, Linear Algebra Appl. 90 (1987), 105-118.

{10.} Linear operators preserving the numerical radius of matrices, Proc. of Amer. Math. Soc. 99, No. 4 (1987), 601-608.

{11.} On unitarily invariant norms and related results (with N.K. Tsing), Linear and Multilinear Algebra 20 (1987), 107-119.

{12.} An inequality on elementary symmetric functions, Linear and Multilinear Algebra 20 (1987), 373-375.

{13.} Linear operators that preserve the m-numerical radius or the m-numerical range of matrices: results and questions, Current Trends in Matrix Theory, North-Holland, New York, 1987.

{14.} Linear operators preserving the higher numerical radius of matrices, Linear and Multilinear Algebra 21 (1987), 63-73.

{15.} The $C$-convex matrices, Linear and Multilinear Algebra 21 (1987), 303-312.

{16.} Matrices with some extremal properties, Linear Algebra Appl. 101 (1988), 255-267.

{17} The $C$-convex matrices (in The 1987 Utah State University Matrix Theory Conference Report), Linear Algebra Appl. 104 (1988), 219-221.

{18.} Linear operators that preserve the $c$-numerical range or radius of matrices (with N.K. Tsing), Linear and Multilinear Algebra 23 (1988), 27-46.

{19.} Some isometries of rectangular complex matrices (with N.K. Tsing), Linear and Multilinear Algebra 23 (1988), 47-53.

{20.} Additive decomposition of nonnegative matrices with applications to permanents and scaling (with S. Friedland and H. Schneider), Linear and Multilinear Algebra 23 (1988), 63-78.

{21.} Inequalities relating unitarily invariant norms and the numerical radius (with C.R. Johnson), Linear and Multilinear Algebra 23 (1988), 183-191.

{22.} Linear transformations on $M_n({\bf R})$ that preserve the Ky Fan k-norm and a remarkable special case when (n,k) = (4,2) (with C.R. Johnson and T.J. Laffey), Linear and Multilinear Algebra 23 (1988), 285-298.

{23.} Linear operators preserving the decomposable numerical radius (with N.K. Tsing), Linear and Multilinear Algebra 23 (1988), 333-341.

{24.} Duality between some linear preservers problems: The invariance of the $C$-numerical range, the $C$-numerical radius and certain matrix sets (with N.K. Tsing), Linear and Multilinear Algebra 23 (1988), 353-362.

{25.} Linear operators preserving the (p,q) numerical range (with B.S. Tam and N.K. Tsing), Linear Algebra Appl. 110 (1988), 75-89.

{26.} Duality between some linear preserver problems II: Isometries with respect to $c$-spectral norms and matrices with fixed singular values (with N.K. Tsing), Linear Algebra Appl. 110 (1988), 181-212.

{27.} Polynomials and numerical ranges, Proc. of Amer. Math. Soc. 104, No. 2 (1988), 369-373.

{28.} Norms that are invariant under unitary similarities and the $C$-numerical radii (with N.K. Tsing), Linear and Multilinear Algebra 24 (1989), 209-222.

{29.} The numerical range of derivations (with N.K. Tsing), Linear Algebra Appl. 119 (1989), 97-119.

{30.} Distance to the convex hull of unitary orbit with respect to unitary similarity invariant norms (with N.K. Tsing), Linear and Multilinear Algebra 25 (1989), 93-103.

{31.} $G$-invariant hermitian forms and $G$-invariant elliptical norms (with N.K. Tsing), SIAM J. of Matrix Analysis Appl. 10 (1989), 435-445.

{32.} $c$-Convex matrices: Characterizations, inclusion relations and normality (with C.H. Sung and N.K. Tsing), Linear and Multilinear Algebra 25 (1989),275-287.

{33.} Linear operators preserving unitarily invariant norms of matrices (with N.K. Tsing), Linear and Multilinear Algebra 26 (1990), 119-132.

{34.} Linear operators preserving certain classes of functions on singular values of matrices (with N.K. Tsing), Linear and Multilinear Algebra 26 (1990), 133-143.

{35} On certain convex matrix sets, Discrete Mathematics 79 (1989/90), 323-326.

{36.} Matrices for which $0 \notin F(A^m)$ (with C.R. Johnson), Linear and Multilinear Algebra 27 (1990), 57-62.

{37.} Norms on Cartesian product of linear spaces (with N.K. Tsing), Tamkang J. Math. 21 (1990), 35-39.

{38.} Linear operators preserving unitary similarity invariant norms on matrices (with N.K. Tsing), Linear and Multilinear Algebra 27 (1990), 213-224.

{39.} Some extremal problems for hermitian matrices and operators (with L. Rodman), Linear Algebra Appl.~140 (1990), 139-154.

## 1991 - 1995:

{40.} Duality between some linear preserver problems III: $c$-spectral norms on (skew)-symmetric matrices and matrices with fixed singular values (with N.K. Tsing), Linear Algebra Appl.~143 (1991), 67-97.

{41.} On the $k^{th}$ matrix numerical range (with N.K. Tsing), Linear and Multilinear Algebra 28 (1991), 229-239.

{42.} Linear operators preserving certain equivalence relations on matrices (with R. Horn and N.K. Tsing), SIAM J. of Matrix Analysis and Appl. 12 (1991), 195-204.

{43.} Matrices with circular symmetry on their unitary orbits and $C$-numerical ranges (with N.K. Tsing), Proc. AMS 111 (1991), 19-28.

{44.} Some results on the generalized $k$-numerical range, Linear Algebra Appl. 146 (1991), 21-29.

{45.} $G$-invariant norms and $G(c)$-radii (with N.K. Tsing), Linear Algebra Appl. 150 (1991), 179-194.

{46.} Joint ranges of Hermitian matrices and simultaneous diagonalization (with P. Binding), Linear Algebra Appl. 151 (1991), 157-168.

{47.} Inequalities relating norms invariant under unitary similarities, Linear and Multilinear Algebra 29 (1991), 155-167.

{48.} The numerical range and decomposable numerical range of matrices (with N. Bebiano and J. da Provid\^encia), Linear and Multilinear Algebra 29 (1991), 195-205.

{49.} A special linear operator on $M_4(\IR)$ (with S. Chang*), Linear and Multilinear Algebra 30 (1991), 65-75.

{50.} Isometries of symmetric gauge functions (with \dzd \ and L. Rodman), Linear and Multilinear Algebra 30 (1991), 81-92.

{51.} Some inequalities on the decomposable numerical radii of matrices, SIAM J. of Matrix Analysis and Appl. 12 (1991), 790-801.

{52.} On the minimum number of interrupts in time slot assignment for time-division multiple-access systems (with H. Schneider), IEEE Transactions on Communications 39 (1991), 1729-1732.

{53.} Linear operators preserving certain equivalence relations originating in system theory (with L. Rodman and N.K. Tsing), Linear Algebra and Appl. 161 (1992), 165-226.

{54.} Linear preserver problems : A brief introduction and some special techniques (with N.K. Tsing), Linear Algebra and Appl. 162-164 (1992), 217-236. pdf file.

{55.} Certain isometries on $\IR^n$ (with S. Chang*), Linear Algebra and Appl. 165 (1992), 251-261.

{56.} Norms induced by symmetric gauge functions (with R. Hemasinha and J.R. Weaver), Linear and Multilinear Algebra 31 (1992), 217-224.

{57.} A brief survey on decomposable numerical range of matrices, (with N. Bebiano and J. da Provid\^encia), Linear and Multilinear Algebra 32 (1992), 179-190.

{58.} Linear maps preserving regional eigenvalue location (with C.R. Johnson, S. Pierce, L. Rodman, I. Spitkovsky), Linear and Multilinear Algebra 32 (1992), 253-264. [MR 94i:15008]

{59.} Linear operators preserving $t$-congruence, (with Y.P. Hong and R. Horn), Linear Algebra and Appl. 175 (1992), 191-211.

{60.} Product of diagonal elements of matrices, (with N. Bebiano and J. da Provid\^encia), Linear Algebra and Appl. 178 (1993), 185-200.

{61.} Linear operators leaving a class of matrices with fixed singular values invariant (with N.K. Tsing), Linear and Multilinear Algebra 34 (1993), 41-49.

{62.} Linear operators preserving unitary $t$-congruence (orthogonal similarity) on complex (real) matrices (with D. Merino**), Linear and Multilinear Algebra 35 (1993), 83-106.

{63.} Some results on the numerical range of a derivation, (with N. Bebiano and J. da Provid\^encia), SIAM J. of Matrix Analysis and Appl. 14 (1993), 1084-1095.

{64.} Linear operators preserving certain singular matrix sets (with S. Pierce), Linear and Multilinear Algebra 36 (1993), 19-26.

{65.} Linear operators preserving the inner and outer $c-$spectral radii (with P. Mehta* and L. Rodman), Linear and Multilinear Algebra 36 (1994), 195-204.

{66.} Overgroups of some classical linear groups with applications to linear preserver problems (with D.Z. Dokovic), Linear Algebra Appl. 197-198 (1994), 31-62.

{67.} Anti-diagonals of matrices in a unitary similarity orbit (with M.E. Miranda), Linear Algebra Appl. 197-198 (1994), 317-336.

{68} A class of linear preserver problems and some useful approaches, Linear Algebra Appl. 197-198 (1994), 817-824.

{69.} Linear operators preserving the $(p,q)$ numerical radius, Linear Algebra Appl. 201 (1994), 21-42.

{70.} Spectral bounds derived from quadratic forms on decomposable tensors (with R. Grone, S. Pierce and J. Ross), Linear Algebra Appl. 201 (1994), 181-198.

{71.} Linear operators preserving complex orthogonal equivalence (with D. Merino** and R. Horn), SIAM J. of Matrix Analysis and Appl. 15 (1994), 519-529.

{72.} A generalized numerical range: The range of a constrained sesquilinear form (with P. Mehta* and L. Rodman), Linear and Multilinear Algebra 37 (1994), 25-50.

{73.} $C$-numerical ranges and $C$-numerical radii, Linear and Multilinear Algebra 37 (1994), 51-82.

{74.} Some geometrical properties of the decomposable numerical range (with C.M. Cheng), Linear and Multilinear Algebra 37 (1994), 207-212.

{75.} Isometries of $\ell_p$-norm (with W. So), AM Monthly 101 (1994), 452-453.

{76.} A note on extreme correlation matrices (with B.S. Tam), SIAM J. of Matrix Analysis and Appl. 15 (1994), 903-908. pdf file.

{77.} Linear operators preserving a similarity class and related results (with S. Pierce), Canadian Math. Bull. 37 (1994), 374-383.

{78.} Numerical range of matrix polynomials, (with L. Rodman), SIAM J. of Matrix Analysis Appl.\ 15 (1994), 1256-1265.

{79.} Some aspects of the theory of norms, Linear Algebra Appl. 212 (1994), 71-100.

{80.} Permutation invariant norms (with P.P. Mehta*), Linear Algebra Appl. 219 (1995), 93-110.

{81.} Some results on the $c$-numerical ranges (with Y.T. Poon), 247-258, in \it Five Decades as a Mathematician and Educator - On the 80th Birthday of Professor Yung Chow Wong\rm'' (editors: K.Y. Chan and M.C. Liu), World Scientific Co., 1995.

{82.} Linear maps relating different unitary similarity orbits or different generalized numerical ranges (with N.K. Tsing), Linear Algebra Appl. 223-224 (1995), 463-482.

{83.} Isometries for the vector $(p,q)$ norm and the induced $(p,q)$ norm (with A.-L. S. Klaus*), Linear and Multilinear Algebra 38 (1995), 315-332.

{84.} A dilation and norm in several variable operator theory (with D.R. Farenick and P. Binding), Canad. J. Math. 47 (1995), 449-461.

{85.} Minimum Positive Determinant of Integer Matrices with Constant Row and Column Sums (with D.P. Stanford, D.D. Olesky, P. van den Driessche), Linear and Multilinear Algebra 40(1995), 163-170. pdf file.

{86.} The determinant of the sum of two matrices (with R. Mathias), Bulletin of Australian Math. Soc. 52 (1995), no. 3, 425--429. pdf file.

## 1996 - 2000:

{87.} Some convexity theorems for the generalized numerical ranges, Linear and Multilinear Algebra 40 (1996), 235-240. [MR 96k:15014]

{88.} Symmetric overgroups of $S_n$ in $O_n$ (with W. Whitney*), Canad. Math. Bulletin 39 (1996), 83-94.

{89.} Numerical range of an operator on an indefinite inner product space (with N.K. Tsing and F. Uhlig), Electronic Linear Algebra 1 (1996), 1-17.

{90.} Distance between the graphs of matrices (with R.A. Horn and D.I. Merino), Linear Algebra Appl. 240 (1996), 65-77.

{91.} A simple proof of the elliptical range theorem, Proc. of Amer. Math. Soc. 124 (1996), 1985-1986.

{92.} A research problem: A generalized numerical radius (with H. Woerdeman), Linear and Multilinear Algebra 41 (1996), 41-47.

{93.} Possible order of the sum of two elements in an additive group, Int. J. Math. Sci. Technol. 27 (1996), 937-938.

{94.} Matrix inequalities involving a positive linear map (with R. Mathias), Linear and Multilinear Algebra 41 (1996), 221-231.

{95.} Extreme vectors of doubly nonnegative matrices (with C. Hamilton-Jester*), Rocky Mountain J. of Math. 26 (1996), 1371-1383.

{96.} Determinant of the sum of a symmetric and a skew-symmetric matrix (with N. Bebiano and J. da Providencia), SIAM J. of Matrix Analysis Appl. 18 (1997), 74-82.

{97.} Partial isometries that arise in X-ray crystallography (with R. Mathias), Linear Algebra Appl. 254 (1997), 303-314.

{98.} Special classes of positive and completely positive maps (with H. Woerdeman), Linear Algebra Appl. 255 (1997), 247-258.

{99.} Norm hull of a vector (with N.K. Tsing and F. Zhang), Linear Algebra Appl. 257 (1997), 1-28. [MR 98d:15025]

{100.} Norms and inequalities related to Schur products of rectangular matrices (with W. Huang** and H. Schneider), SIAM J. Matrix Anal. Appl. 18 (1997), no. 2, 334--347.

{101.} A unified elementary approach to matrix canonical form theorem (with J. Karro*), SIAM Review 39 (1997), 305-309. pdf file.

{102.} Equality of higher numerical ranges of matrices and a conjecture of Kippenhahn on hermitian pencils (with I. Spitkovsky and S. Shukla*), Linear Algebra Appl. 270 (1997), 323-349.

{103.} Isometries for the induced $c$-norm on square matrices and some related results (with T. Coleman*, M. Lundquist and T. Travison*), Linear Algebra Appl. 271 (1997), 235-256.

{104.} Generalized eigenvalues of a definite hermitian matrix pair (with R. Mathias), Linear Algebra Appl. 271 (1997), 309-321.

{105.} Invertible preservers and algebraic groups III: Preservers of unitary similarity (congruence) invariants and overgroups of some unitary subgroups (with R. Guralnick), Linear and Multilinear Algebra 43 (1997), 257-282.

{106.} $q$-numerical ranges of normal and convex matrices, Linear and Multilinear Algebra 43 (1998), 377-384.

{107.} Some results on the $q$-numerical ranges (with H. Nakazato), Linear and Multilinear Algebra 43 (1998), 385-410.

{108.} Generalizations of Ky Fan's Dominance Theorem (with R. Mathias), SIAM J. Matrix Analysis Appl. 19 (1998), 99-106.

{109.} Remarks on numerical ranges of operators in spaces with an indefinite metric (with L. Rodman), Proc. of Amer. Math. Soc. 126 (1998), pp. 973-982.

{110.} Estimating the Extreme Singular Values of Matrices, (with C. Pohanka*), Mathematical Inequalities and Applications 1 (1998), 153-169.

{111.} Shapes and Computer Generation of Numerical Ranges of Krein Space Operators (with L. Rodman), Electronic Linear Algebra 3 (1998), 31-47.

{112.} Isometries of Direct Sums of Sequence Spaces (with B. Randrianantoanina), Asian J. of Mathematics 1 (1998), 157-180.

{113.} Perfect Codes on the Towers of Hanoi Graph (with I. Nelson*), Bulletin of the Australian Math. Soc. 57 (1998), no. 3, 367--376.

{114.} Some interlacing theorems on the Schur complement (with R. Mathias), Linear and Multilinear Algebra 44 (1998), 373-382.

{115.} Isometric isomorphisms between normed spaces (with W. So), Rocky Mountain J. of Math. 28 (1998), 607-624.

{116.} The Lidskii-Mirsky-Wielandt Theorem: Additive and multiplicative versions (with R. Mathias), Numerische Mathematik 81 (1999), no. 3, 377--413. pdf file.

{117.} Inequalities on the singular values of an off-diagonal block of a Hermitian matrix (with R. Mathias), J. of Inequalities and Applications 3 (1999), 137-142.

{118.} A note on convex stochastic dominance (with W.K. Wong), Economics Letters 62 (1999), 293-300.

{119.} On groups that are isomorphic to a proper subgroup (with S. Fallat**, D. Lutzer and D. Stanford), Mathematics Magazine 72 (1999), 388-391.

{120.} Extension of stochastic dominance theory to random variable (with W.K. Wong), RAIRO Recherche Operationnelle, 33 (1999), 509-524. pdf file.

{121.} Determinants of Certain Classes of Zero-One Matrices with Equal Line Sums (with J.Lin* and L. Rodman), Rocky Mountain J. of Math. 29 (1999), 1363-1385. pdf file.

{122.} Convexity of the joint numerical range, (with Y.T. Poon), SIAM J. Matrix Analysis Appl. 21 (1999), 668-678. pdf file.

{123.} Some matrix techniques in game theory (with S. Nataraj*), Mathematical Inequalities and Applications 3 (2000), 133-141. pdf file.

{124.} On the Hu-Hurley-Tam Conjecture Concerning The Generalized Numerical Range (with Che-Man Cheng), Linear Algebra Appl. 305 (2000), 87-98. pdf file.

{125.} Numerical ranges and dilations, (with M.D. Choi), Linear and Multilinear Algebra 47 (2000), 35-48. pdf file.

{126.} Numerical ranges arising from simple Lie algebras (with T.Y. Tam), Canad. J. Math. 52 (2000), 141-171. pdf file.

{127.} Nonconvexity of the generalized numerical range associated with the principal character, (with A. Zaharia), Canad. Math. Bulletin 43 (2000), 448-458. pdf file.

{128.} Norms, Isometries, and Isometry Groups, Amer. Math. Monthly, Vol. 107, no. 4 (2000). pdf file.

{129.} Extremal characterizations of the Schur complement and resulting inequalities (with R. Mathias), SIAM Review 42 (2000), 233-246. pdf file.

{130.} Decomposable Numerical Ranges on Orthonormal Tensors (with A. Zaharia), Linear Algebra Appl. 308 (2000), 139-152. pdf file.

{131.} Generalized numerical ranges of permanental compounds arising from quantum systems of bosons (with N. Bebiano and J. da Providencia), Electronic Linear Algebra 7 (2000), 73-91.

{132.} Some General Techniques on Linear Preserver Problems (with A. Guterman** and P. Semrl), Linear Algebra Appl. 315 (2000), 61--81. pdf file.

{133.} A simple proof of the Craig-Sakamoto theorem, Linear Algebra Appl. 321 (2000), 281-283. pdf file.

## 2001 - 2005:

{134.} Optimizing quadratic forms of adjacency matrices of trees and related eigenvalue problems (with W.S. Cheung**, D. Olesky, Pauline van den Driessche), Linear Algebra and Its Applications, 325 (2001), 191-208. pdf file.

{135.} Linear operators preserving directional majorization (with Edward Poon**), Linear Algebra Appl. 325 (2001), 141-146. pdf file.

{136.} Minimal distortion problems for classes of unitary matrices (with V. Bolotnikov and L. Rodman), Electronic Linear Algebra 8 (2001), 26-46. pdf file.

{137.} Spectral inequalities and equalities involving products of matrices (with Y.T. Poon), Linear Algebra Appl. 323 (2001), 131--143. pdf file.

{138.} A Class of Unitarily Invariant Norms on $B(H)$ (with J.T. Chan and N.C. Tu**), Proc. Amer. Math. Soc. 129 (2001), 1065-1076. pdf file.

{139.} Construction of matrices with prescribed singular values and eigenvalues (with R. Mathias), BIT 41 (2001), 115-126. pdf file.

{140.} Linear Operators Preserving the Numerical Range (Radius) on Triangular Matrices (with Peter Semrl and Graca Soares**), Linear and Multilinear Algebra 48 (2001), 281-292. pdf file.

{141.} Linear Operators Preserving Generalized Numerical Ranges and Radii on Certain Triangular Algebras of Matrices (with W.S. Cheung**), Bulletin Canad. Math. Soc. 44 (2001), 270-281. pdf file.

{142.} Linear Operators Preserving Decomposable Numerical Radii on Orthonormal Tensors (with A. Zaharia), Linear and Multilinear Algebra 49 (2001), 25-43. pdf file.

{143.} A survey on Linear Preservers of Numerical Ranges and Radii, Taiwanese J. Math. 5 (2001), no. 3, 477--496. pdf file.

{144.} Linear preserver problems (with S. Pierce), Amer. Math. Monthly 108 (2001), 591-605. pdf file.

{145.} Constrained Unitary Dilations and Numerical Ranges (with M.D. Choi), J. Operator Theory, 46 (2001), 435--447 pdf file.

{146.} Linear maps leaving the alternating group invariant (with H. Chiang*), Linear Algebra Appl. 340 (2002), 69-80. pdf file.

{147.} Linear maps preserving permutation and stochastic matrices (with B.S. Tam and N.K. Tsing), Linear Algebra Appl. 341 (2002), 5-22. pdf file.

{148.} Interlacing Inequalities for Totally Nonnegative Matrices (with R. Mathias), Linear Algebra Appl., 341 (2002), 35-44. pdf file.

{149.} Inequalities and Equalities for the Cartesian Decomposition (with C.M. Cheng and R. Horn), Linear Algebra Appl. 341 (2002) 219-237. pdf file.

{150.} Induced operators on symmetry classes of tensors (with A. Zaharia), Trans. Amer. Math. Soc., 354 (2002), no. 2, 807--836. pdf file.

{151.} Shells of matrices in indefinite inner product spaces (with V. Bolotnikov, P. Meade*, C. Mehl, and L. Rodman), Electronic Linear Algebra 9 (2002), 67-92.

{152.} The numerical range of a nonnegative matrix (with Bit-Shun Tam and Pei-Yuan Wu), Linear Algebra Appl. 350 (2002), 1-23. pdf file.

{153.} Applications of Perron-Frobenius Theory to Population Dynamics (with Hans Schneider), J. of Math. Biology Volume 44 Issue 5 (2002), 450-462. pdf file.

{154.} Orthogonality of Matrices (with Hans Schneider), Linear Algebra Appl. 347 (2002), 115-122. pdf file.

{155.} Diagonals and partial diagonals of sum of matrices (with Y.T. Poon), Canad. J. Math. 54 (2002), 571-594. pdf file.

{156.} $H$-Joint Numerical Ranges (with Leiba Rodman), Bulletin of Australian Math. Soc. 66 (2002), 105-117. pdf file.

{157.} Multiplicative Preservers on Semigroups of Matrices (with Wai-Shun Cheung and Shaun Fallat), Linear Algebra Appl. 355 (2002), 173-186. pdf file.

{158.} Inequalities on singular values of block triangular matrices (with Roy Mathias), SIAM Matrix Analysis Appl. 24 (2002), 126--131. pdf file.

{159.} Numerical radius isometries (with Peter Semrl), Linear and Multilinear Algebra 50 (2002), 307-314 pdf file.

{160.} Additive Decomposition of Real Matrices (with Ed. Poon), Linear and Multilinear Algebra 50 (2002), 321-326. pdf file.

{161.} Linear Transformations Between Matrix Spaces that Map One Rank Specific Set into Another (with Leiba Rodman Peter Semrl), Linear Algebra Appl. 357 (2002), 197-208. pdf file.

{162.} Linear operators preserving correlation matrices, (with S. Pierce), Proc. Amer. Math. Soc. 131 (2003), no. 1, 55--63. pdf file.

{163.} Linear Preservers of Finite Reflection Groups (with Tom Milligan**), Linear and Multilinear Algebra 51 (2003), 49-82. pdf file.

{164.} Linear maps transforming the unitary group (with W.S. Cheung), Canad. Math. Bulletin 46 (2003), 54-58. pdf file.

{165.} Some Convexity Features Associated with Unitary Orbits (with M.D. Choi and Y.T. Poon), Canad. J. Math. 55 (2003), 91-111. pdf file.

{166.} Principal Submatrices of a Hermitian matrix (with Yiu-Tung Poon), Linear and Multilinear Algebra 51 (2003), 199-208. pdf file.

{167.} On numerical ranges and roots (with Leiba Rodman and Ilya Spitkovsky), J. Math. Anal. Appl. (2003), 329-340. pdf file.

{168.} Norm Bounds on the Sum of Block Diagonal Matrices (with R. Mathias), Mathematical Inequalities and Applications 6 (2003), 215-222. pdf file.

{169.} Linear Maps on Selfadjoint Operators Preserving Invertibility, Positive Definiteness, Numerical Range (with L. Rodman and P. Semrl), Canad. Math. Bull., 46 (2003), 216-228. pdf file.

{170.} Linear Maps Leaving Invariant Subsets of Nonnegative Symmetric Matrices (with Hanley Chiang*), Bulletin of Australian Math. Soc., 68 (2003), 221-231. pdf file.

{171.} Multiplicative Preserver Maps of Invertible Matrices (with R. Guralnick and L. Rodman), Electronic Linear Algebra 10 (2003), 291-319. pdf file.

{172.} Isometries for Ky-Fan norms on block triangular matrix algebras (with Peter Semrl and Ahmed Sourour), Arch. Math. (Basel) 81 (2003), no. 2, 175--181. pdf file.

{173.} Norm Bounds for Summation of Two Normal Matrices (with Man-Duen Choi), Linear Algebra Applications 379 (2004), 137-158. pdf file.

{174.} Central Groupoids, Central Digraphs, and Zero-One Matrices $A$ Satisfying $A^2 = J$ (with Frank Curtis*, John Drew, and Daniel Pragel*), J. Combinatorial Theory, Series A, 105 (2004), 35-50. pdf file.

{175.} Linear Operators on Matrix Algebras that Preserve the Numerical Range, Numerical Radius or the States (with Ahmed Sourour), Canad. J. Math. 56 (2004), no. 1, 134--167. pdf file.

{176.} Linear operators transforming $H$-unitary matrices (with Nung-Sing Sze**), Linear Algebra Appl. 377 (2004), 111--124. pdf file.

{177.} Inclusion regions for numerical ranges and linear preservers (with Nung-Sing Sze**), Linear and Multilinear Algebra 52 (2004), 235-249. pdf file.

{178.} Multiplicative Preservers of $C$-Numerical Ranges and Radii (with Leiba Rodman), Linear and Multilinear Algebra 52 (2004), 265-279. pdf file.

{179.} Finite reflection groups and linear preserver problems (with I. Spitkovsky and N. Zobin), Rocky Mountain J. of Mathematics 34 (2004), 225-252. pdf file.

{180.} Induced Norms, States, and Numerical Ranges (with Edward Poon and Hans Schneider), Proc. Amer. Math. Soc. 132 (2004), 1501-1506. pdf file.

{181.} Geometric means (with T. Ando and R. Mathias), Linear Algebra Appl. 385 (2004), 305-344. pdf file.

{182.} Off-diagonal Submatrices of a Hermitian Matrix (with Yiu-Tung Poon), Proc. Amer. Math. Soc. 132 (2004), no. 10, 2849--2856. pdf file.

{183.} Isometries Between Matrix Algebras (with Wai-Shun Cheung and Yiu-Tung Poon), J. Aust. Math. Soc. 77 (2004), 1-16. pdf file.

{184.} $H$-unitary and Lorentz matrices: A review (with Yik-Hoi Au-Yeung and Leiba Rodman), SIAM J. Matrix Analysis Appl., 26 (2004), 1140-1162. pdf file.

{185.} Uniqueness of the solutions of some completion problems (with Tom Milligan**), Linear Algebra Appl. 392 (2004), 91-102. pdf file.

{186.} Non-existence of 5X5 full ray nonsingular matrices, (with T. Milligan** and B. Shader), Electronic Linear Algebra 11 (2004), 212-240.

{187.} The arithmetic of algebraic numbers: an elementary approach (with David Lutzer), College Math. J. - Classroom Capsules 35 (2004), 307-309. pdf file.

{188.} Isometries for Ky Fan Norms Between Matrix Spaces (with Yiu-Tung Poon and Nung-Sing Sze**), Proc. Amer. Math. Soc. 133 (2005), no. 2, 369-377. pdf file.

{189.} Eigenvalues, singular values, and Littlewood-Richardson Coefficients (with S. Fomin, W. Fulton, and Y.T. Poon), Amer. J. Math. 127 (2005), 101-127. pdf file.

{190.} A Note on Eigenvalues of Perturbed {H}ermitian Matrices (with Ren-Cang Li), Linear Algebra Appl. 395 (2005), 183-190. pdf file.

{191.} Generalized Doubly Stochastic Matrices and Linear Preservers, (with H. Chiang*), Linear and Multilinear Algebra 53 (2005), 1-11. pdf file.

{192.} A Partition Problem for Sets of Permutation Matrices (with R. Brualdi and H. Chiang*), Bulletin of ICA 43 (2005), 67-79. pdf file.

{193.} Isometries for unitarily invariant norms (with Jor-Ting Chan and Nung-Sing Sze**), Linear Algebra Appl. 399 (2005), 53-70. pdf file.

{194.} Inverse closed ray-nonsingular cones of matrices {with Leiba Rodman}, Linear Algebra Appl. 400 (2005), 203-230. pdf file.

{195.} Linear maps transforming the higher numerical ranges (with Yiu-Tung Poon and Nung-Sing Sze**), Linear Algebra Appl. 400 (2005), 291-312. pdf file.

{196.} Operator properties of $T$ and $K(T)$, (with Tin-Yau Tam), Linear Algebra Appl. 401 (2005), 173-192. pdf file.

{197.} Multiplicative Preservers and Induced Operators (with Wai-Shun Cheung and Maria Antonia Duffner), Linear Algebra Appl. 401 (2005), 307-324. pdf file.

{198.} Unitarily Invariant Metrics on the Grassmann Space (with Li Qiu and Yanxia Zhang), SIAM J. Matrix Anal. Appl. 27 (2005), 507-531. pdf file.

## 2006-2010:

{199.} Automorphisms of Certain Groups and Semigroups of Matrices (with Michael Alwill*, Christine Maher*, and Nung-Sing Sze**), Linear Algebra Appl. 412 (2006), 490-525. pdf file.

{200.} The Ultimate Estimate of the Upper Norm Bound for the Summation of Operators (with Man-Duen Choi), Journal of Functional Analysis 232 (2006), 455-476. pdf file.

{201.} A lower bound on the C-numerical radius of nilpotent matrices appearing in coherent spectroscopy (with Hugo Woerdeman), SIAM J. Matrix Anal. Appl. 27 (2006), 793-900. pdf file.

{202.} A short proof of interlacing inequalities on normalized Laplacians, Linear Algebra Appl., 414 (2006), 425-427. pdf file.

{203.} Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices (with Zhong-Zhi Bai and Gene Golub), SIAM J. Sci. Comp. 28 (2006), 583-603. pdf file.

{204.} Distances from a Hermitian pair to diagonalizable and non-diagonalizable Hermitian pairs (with Roy Mathias), SIAM J. Matrix Anal. Appl, 28 (2006), 301-305. pdf file.

{205.} Product of operators and numerical range preserving maps, (with Nung-Sing Sze**), Studia Math. 174 (2006), no. 2, 169--182. pdf file.

{206.} On the evolution of dispersal in patch environments (with Sebastian Schreiber and Steve Kirkland), SIAM J. Appl. Math. 66 (2006), 1366--1382. pdf file.

{207.} Mappings on matrices: Invariance of functional values of matrix products (with Jor-Ting Chan and Nung-Sing Sze**), J. Aust. Math. Soc. 81 (2006), 165-184. pdf file.

{208.} On dispersal and population growth for multistate matrix models (with Sebastian Schreiber), Linear Algebra Appl. 418 (2006), 900-912. pdf file.

{209.} Extension of the Total Least Square Problem Using General Unitarily Invariant Norms (with Xin-Guo Liu and Xue-Feng Wang), Linear and Multilinear Algebra 55(2007), 71-79. pdf file.

{210.} Mappings preserving spectra of products of matrices (with Jor-Ting Chan and Nung-Sing Sze**), Proc. Amer. Math. Soc., 135 (2007), 977-986. pdf file.

{211.} Convergence Properties of Preconditioned Hermitian and Skew-Hermitian Splitting Methods for Non-Hermitian Positive Semidefinite Matrices (with Z.Z. Bai and G. Golub), Math. Comput. 257 (2007), 287-298. pdf file.

{212.} $G$-invariant norms and bicircular projections (with Maja Fosner, Dijana Ilisevic), Linear Algebra Appl. 420 (2007), 596--608. pdf file.

{213.} Schur product of matrices and numerical radius (range) preserving maps (with Edward Poon), Linear Algebra Appl.424 (2007), 8-24. pdf file.

{214.} Maps preserving the nilpotency of products of operators (with Peter Semrl and Nung-Sing Sze), Linear Algebra Appl. 424 (2007), 222-239. pdf file.

{215.} Operators with numerical range in a closed halfplane (with Wai-Shun Cheung and Leiba Rodman), Taiwanese J. Mathematics 11 (2007), 471-481. pdf file.

{216.} Eigenvalues of An Alignment Matrix in Nonlinear Manifold Learning (with Ren-Cang Li and Qiang Ye), Communications in Mathematical Sciences 5 (2007), 313-329. pdf file.

{217.} Mappings that preserve pairs of operators with zero triple Jordan product (with M. Dobovi\v{s}ek, {B. Kuzma, G. Le\v{s}njak, T. Petek), Linear Algebra Appl. 426 (2007), 255-279. pdf file.

{218.} Numerical Ranges of the Derivation of Induced Operators (with Randall R. Holmes and Tin-Yau Tam), J. Aust. Math. Soc. 82 (2007), 325-343. pdf file.

{219.} $C^*$-Isomorphisms, Jordan Isomorphisms, and Numerical Range Preserving Maps (with Hwa-Long Gau), Proc. Amer. Math. Soc., 135 (2007), 2907-2914. pdf file.

{220.} Maps preserving spectral radius, numerical radius, spectral norm (with Edward Poon and Ashwin Rastogi*), Electronic Linear Algebra 16 (2007), 347-359.

{221.} Polynomial numerical hulls of matrices (with Chandler Davis and Abbas Salemi), Linear Algebra Appl. 428 (2008), 137-153. pdf file.

{222.} Jordan isomorphisms and maps preserving spectra of certain operator products (with J.C. Hou and N.C. Wong), Studia Math. 184 (2008), 31-47. pdf file.

{223.} Ranks and determinants of the sum of matrices from unitary orbits (with Yiu-Tung Poon and Nung-Sing Sze), Linear and Multilinear Algebra 56 (2008), 105-130. pdf file.

{224.} Schur multiplicative maps on matrices (with S. Clark* and A. Rastogi*), Bulletin of Aust. Math. Soc. 77 (2008), 49-72. pdf file.

{225.} Canonical forms, higher rank numerical ranges, totally isotropic subspaces, and matrix equations (with Nung-Sing Sze), Proc. Amer. Math. Soc. 136 (2008), 3013-3023. e-preprint.

{226.} Higher rank numerical ranges and low rank perturbations of quantum channels (with Yiu-Tung Poon and Nung-Sing Sze), J. Mathematical Analysis Appl. 348 (2008), 843-855. pdf file.

{227.} Eigenvalues of the sum of matrices from unitary similarity orbits (with Yiu-Tung Poon and Nung-Sing Sze), SIAM J. Matrix Analysis Appl. 30 (2008) 560-581. pdf file.

{228.} Spectral radius preservers of products of nonnegative matrices (with Sean Clark* and Leiba Rodman), Banach J. Math. Anal. 2 (2008), 107-120. pdf file.

{229.} Davis-Wielandt Shells of Operators (with Yiu-Tung Poon and Nung-Sing Sze), Operators and Matrices 2 (2008), 341-357. pdf file.

{230.} Spectrum, Numerical Range and Davis-Wielandt Shell of a Normal Operator (with Yiu-Tung Poon), Glasgow Math. J. 51 (2009), 91-100. pdf file.

{231} Preservers of spectral radius, numerical radius, or spectral norm of the sum on nonnegative matrices (with Leiba Rodman), Linear Algebra Appl. 430 (2009), 1739-1761. pdf file.

{232.} Preservers for norms of Lie product (with Edward Poon and Nung-Sing Sze), Operators and Matrices 3 (2009), 187-203. pdf file.

{233.} Davis-Wielandt Shells of Normal Operators (with Yiu-Tung Poon), Acta Sci. Math. (Szeged) 75 (2009), 289-297. pdf file.

{234.} Condition for the higher rank numerical range to be non-empty (with Yiu-Tung Poon and Nung-Sing Sze), Linear and Multilinear Algebra 57 (2009), 365-368. pdf file.

{235.} Linear preservers of higher rank numerical ranges and radii (with Sean Clark*, Jennifer Mahle* and Leiba Rodman), Linear and Multilinear Algebra 57 (2009), 503-521. pdf file.

{236.} Maps preserving product $XY-YX\sp *$ on factor von Neumann algebras (with Jianlian Cui). Linear Algebra Appl. 431 (2009), no. 5-7, 833--842.

{237.} Graphs equienergetic with edge-deleted subgraphs (with Wasin So), Linear and Multilinear Algebra 57 (2009), 683-693. pdf file.

{238.} The Sum of Unitary Similarity Orbits Containing Only Special Operators (with Yiu-Tung Poon), Linear Algebra Appl. 431 (2009), 2336-2345. pdf file.

{239.} The joint essential numerical range of operators: Convexity and related results (with Yiu-Tung Poon), Studia Math. 194 (2009), 91-104. pdf file.

{240.} Maps preserving the spectrum of generalized Jordan product of operators (with Jinchuan Hou and Ngai-Ching Wong), Linear Algebra Appl. 432 (2010), 1049-1069. pdf file. [ An addendum motivated by comments of J. Cui.]

{241.} Sum of Hermitian matrices with given eigenvalues: Inertia, rank, and multiple eigenvalues (with Yiu-Tung Poon), Canad. J. Mathematics Vol. 62 (2010), 109-132. pdf file.

{242.} Multiplicative maps preserving the higher rank numerical ranges and radii (with Sean Clark* and Nung-Sing Sze), Linear Algebra Appl. 432 (2010), 2729-2738. pdf file.

{243.} Studying Genetic Code by a Matrix Approach (with Tanner Crowder*), Bulletin of Math. Bio. 72 (2010), 953-972. pdf file.

{244.} Operator radii and unitary operators (with Tsuyoshi Ando), Operators and Matrices 4 (2010), 273-281. pdf file.

{245.} Higher-Rank Numerical Ranges and Dilations (with H.L. Gau and P.Y. Wu), J. Operator Theory 63 (2010), no. 1, 181--189. pdf file.

{246.} Numerical ranges of the powers of an operator (with Man-Duen Choi), J. Math. Anal. Appl., 365 (2010), no. 2, 458-466. pdf file.

{247.} A note on the unitary part of a contraction, Linear Algebra Appl. 433 (2010), 1533-1535. pdf file.

{248.} Preservers of eigenvalue inclusion sets (with Jim Hartman and Aaron Herman*), Linear Algebra Appl. 433 (2010), 1038-1051. pdf file.

{249.} Conditions for linear dependence of two operators (with Bojan Kuzma, Gorazd Lesnjak, Tatjana Petek and Leiba Rodman), Topics in operator theory. Volume 1. Operators, matrices and analytic functions, 411-434, Oper. Theory Adv. Appl., 202, Birkhuser Verlag, Basel, 2010. pdf file.

{250.} Euclidean and Circum-Euclidean Distance matrices: Characterizations and linear preserver (with T. Milligan and M. Trossett), Electronic Linear Algebra 20 (2010), 739-752. pdf file.

## 2011 - 2015:

{251.} Preservers of eigenvalue inclusion sets of matrix products (with Virginia Forstall*, Aaron Herman*, Nung-Sing Sze, Vincent Yannello*), Linear Algebra Appl. 434 (2011), 285-293 pdf file.

{252.} Higher rank numerical ranges of normal matrices (with Hwa-Long Gau, Yiu-Tung Poon, Nung-Sing Sze), SIAM J. Matrix Anal. Appl., 32 (2011), 23-43. pdf file.

{253.} Tracial numerical ranges and linear dependence of operators (with B. Kuzma and L. Rodman), Electronic Linear Algebra 22 (2011), 22-52. pdf file.

{254.} Evolution of unconditional dispersal in periodic environments (with Sebastian Schreiber), Journal of Biological Dynamics 5 (2011), 120-134. http://arxiv.org/abs/1007.5267

{255.} Elliptical range theorems for generalized numerical ranges of quadratic operators (with Yiu-Tung Poon and Nung-Sing Sze), Rocky Mountain J. Math. 41 (2011), 813-832. pdf file.

{256.} Sprectra, norms and numerical ranges of generalized qudratic operatos (with Yiu-Tung Poon and Masaru Tominaga), Linear and Multilinear Algebra 59 (2011), 1077-1104. pdf file.

{257.} Permutations as Product of Parallel Transpositions (with Chase Albert*, Gilbert Strang and Gexin Yu), SIAM J. Discrete Math. 25 (2011), pp. 1412-1417. pdf file.

{258.} Least-squares approximation by elements from matrix orbits achieved by gradient flows on compact Lie groups (with Yiu-Tung Poon and Thomas Schulte-Herbruggen), Math. Comp. 275 (2011), 1601-1621. pdf file.

{259.} Generalized numerical ranges and quantum error correction (with Yiu-Tung Poon), J. Operator Theory. 66 (2011),335-351. pdf file.

{260.} Interpolation by Completely Positive Maps (with Yiu-Tung Poon), Linear and Multilinear Algebra 59 (2011), 1159-1170. pdf file.

{261.} Efficient Quantum Error Correction for Fully Correlated Noise (with Mikio Nakahara, Yiu-Tung Poon, Nung-Sing Sze, Hiroyuki Tomita), Phys. Lett. A, 375:3255-3258 (2011). pdf file.

{262.} The Automorphism Group of Separable States in Quantum Information Theory (with Shmuel Friedland, Yiu-Tung Poon and Nung-Sing Sze), Journal of Mathematical Physics 52, 042203 (2011), 14 pages. pdf file.

{263.} Recursive Encoding and Decoding of Noiseless Subsystem and Decoherence Free Subspace (with Mikio Nakahara, Yiu-Tung Poon, Nung-Sing Sze, Hiroyuki Tomita), Physical Review A 84, 044301 (2011). pdf file.

{264.} A note on the realignment criterion (with Yiu-Tung Poon and Nung-Sing Sze), J. Phys. A: Math. Theor. 44 315304 (2011). pdf file.

{265.} Norm preservers of Jordan products (with Bojan Kuzma, Gorazd Lesnjak, Tatjana Petak, Leiba Rodman) Electronic Linear Algebra 22 (2011), 959-978. pdf file.

{266.} Maps preserving peripheral spectrum of Jordan products of operators (with Jianlian Cui), Operators and Matrices 6 (2012), 129-?146 pdf file.

{267.} Properties and Preservers of the Pseudospectrum (with Jianlian Cui, Virginia Forstall*, and Vincent Yannello*), Linear Algebra and its Applications 436 (2012), 316-325. pdf file.

{268.} Recovery in quantum error correction for general noise without measurement (with Mikio Nakahara, Yiu-Tung Poon, Nung-Sing Sze, Hiroyuki Tomita), Quantum Information & Computation 12 (2012), 149-158. pdf file.

{269.} Induced Metric And Matrix Inequalities On Unitary Matrices (with H. F. Chau, Yiu-Tung Poon, and Nung-Sing Sze), J. Phys. A: Math. Theor. 45 (2012) 095201 (8 pages). pdf file.

{270.} Every invertible matrix is diagonally equivalent to a matrix with distinct eigenvalues (with Man-Duen Choi, Zejun Huang, Nung-Sing Sze), Linear Alebra Appl. 436 (2012), 3773-?3776 pdf file.

{271.} Maps preserving the joint numerical radius distance of operators (with Ed Poon), Linear Algebra Appl. 437 (2012), no. 5, 1194-1204. pdf file.

{272.} Physical transformations between quantum states (with Zejun Huang, Edward Poon and Nung-Sing Sze), J. Mathematical Physics 53, 102209 (2012). pdf file.

{273.} Generalized Interlacing Inequalities (with Yiu-Tung Poon and Nung Sing Sze), Linear and Multilinear Algebra 60 (2012), no. 11-12, 1245?1254. pdf file.

{274.} Entanglement transformation between sets of bipartite pure quantum states using local operations (with H.F. Chau, F. Fung, E. Poon and N.S. Sze), J. Mathematical Physics 53 (2012), no. 12, 122201, 11 pp. pdf file.

{275.} Preservers of matrix pairs with a fixed inner product value (with Lucijan Plevnik** and Peter Semrl), Operators and Mtrices 6 (2012), 433-464. pdf file.

{276.} Linear preservers of Tensor product of Unitary Orbits, and Product Numerical Range (with Yiu-Tung Poon and Nung-Sing Sze), Linear Algebra Appl. 438 (2013) 3797?3803. pdf file.

{277.} Elementary proofs for some results on the circular symmetry of the numerical range (with Wai-Shun Cheung) Linear and Multilinear Algebra 61 (2013), no. 5, 596?602. pdf file.

{278.} A geometric characterization of invertible quantum measurement maps (with Kan He and Jin-Chuan Hou), J. Functional Analysis 264 (2013), no. 2, 464?478. pdf file.

{279.} Linear maps preserving Ky Fan norms and Schatten norms of tensor products of matrices (with Ajda Fosner, Zejun Huang, and Nung-Sing Sze), SIAM J. Matrix Analysis Appl. 34 (2013), no. 2, 673?685. pdf file.

{280.} Linear maps preserving numerical radius of tensor products of matrices (with Ajda Fosner, Zejun Huang, and Nung-Sing Sze), J. Math. Analysis Appl. 407 (2013), no. 2, 183-?189. pdf file.

{281.} Linear preservers and quantum information science (with A. Fosner, Z. Huang, N.S. Sze), Linear and Multliinear Algebra 61 (2013), 1377-1390. pdf file.

{282.} Decomposition of unitary matrices and quantum gates (with Rebecca Roberts* and Xiaoyan Yin), Int. J. Quantum Inform. 11, 1350015 (2013) [10 pages.] pdf file.

{283.} Conditions for degradability of tripartite quantum states (with Chi-Hang Fred Fung, Nung-Sing Sze, and H. F. Chau), J. Phys. A: Math. Theor. 47 (2014) 115306. pdf file.

{284.} Decomposition of quantum gates (with Diane Pelejo**), Int. J. Quantum Inform. 12, 1450002 (2014) [19 pages] DOI: 10.1142/S0219749914500026 pdf file.

{285.} Graphs associated with matrices over finite fields and their endomorphisms (with Liping Huang, Zejung Huang, and Nung-Sing Sze), Linear Algebra Appl. 447 (2014), 2-25. pdf file.

{286.} Maximizing the numerical radii of matrices by permuting their entries (with Wai-Shun Cheung), Linear and Multilinear Algebra 62 (2014), 579-594. pdf file.

{287.} Linear maps preserving the higher numerical ranges of tensor products of matrices (with Ajda Fosner, Zejun Huang, Yiu-Tung Poon, and Nung-Sing Sze), Linear and Multilinear Algebra 62 (2014), 776-791. pdf file.

{288.} Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector (with Nung-Sing Sze), J. Math. Anal. Appl. 410 (2014), 487-?419. pdf file.

{289.} Recursive encoding and decoding of the noiseless subsystem for qudits (with Utkan Gungordu**, Mikio Nakahara, Yiu-Tung Poon, Nung-Sing Sze), Physical Review A 89, 042301 (2014). pdf file.

{290.} Pseudospectra of special operators and Pseudosectrum preservers (with Jianlian Cui and Yiu-Tung Poon), J. Math. Anal. Appl. 419 (2014), 1261-1273. pdf file.

{291.} Ranks and eigenvalues of states with prescribed reduced states (with Y.T. Poon and X. Wang), Electronic J. Linear Algebra 27 (2014), 935-950. pdf file.

{292.} The spectrum of the product of operators, and the product of their numerical ranges (with Ming-Cheng Tsai, Kuo-Zhong Wang and Ngai-Ching Wong), Linear Algebra Appl. 469 (2015), 487?499. pdf file.

{293.} Spectral radius, numerical radius, and the product of operators (with R. Alizadeh, M.B. Asadi, C.-M. Cheng, W. Hong), J. Math. Anal. Appl., 423 (2015), 639-645. pdf file.

{294.} Solution to time-energy costs of quantum channels (with C.H.F. Fung, H.F. Chau, N.S. Sze), Quantum Information & Computation, 15 (2015), 685-693 pdf file.

{295.} A New Criterion and a special class of k-positive maps (with Jinchuan Hou, Yiu-Tung Poon, Xiaofei Qi, and Nung-Sing Sze), Linear Algebra Appl. 470 (2015), 51-69. pdf file.

{296.} Stationary Probability Vectors of Higher-order Markov Chains (with Shixiao Zhang*), Linear Algebra Appl. 473 (2015) 114-125 pdf file.

{297.} Projection Methods for Quantum Channel Construction (with Dmitriy Drusvyatskiy, Chi-Kwong Li, Diane Pelejo**, Yuen-Lam Voronin, Henry Wolkowicz), Quantum Inf Process (2015) 14:30753096 DOI 10.1007/s11128-015-1024-y. pdf file.

{298.} Factorization of Permutations (with Zejun Huang, Sharon H. Li*, and Nung-Sing Sze), Electronic J. Linear Algebra (2015), 286-303. pdf file.

{299.} Discontinuity of Maximum Entropy Inference and Quantum Phase Transitions (with Jianxin Chen, Zhengfeng Ji Yiu-Tung Poon, Yi Shen, Nengkun Yu, Bei Zeng, and Duanlu Zhou), New Journal of Physics 17 (2015), 083019, 18 pages. pdf file.

{300.} Numerical range of Lie product of operators (with Jinchuan Hou and Xiaofei Qi), 18 pages, Integral Equations and Operator Theory 83 (2015), 497–516 DOI 10.1007/s00020-015-2261-2 pdf file.

{301.} Positivity of Partitioned Hermitian Matrices with Unitarily Invariant Norms (with Fuzhen Zhang), Positivity, 19 (2015), 439-444. pdf file.

{302.} Maximal error correction rates for collective rotation channels on qudits (with Mikio Nakahara, Yiu-Tung Poon and Nung-Sing Sze), Quantum Information Processing, 14 (2015), 4039-4055. pdf file.

## 2016 and after:

{303.} Product of Operators and Numerical Range (with M.T. Chien, H.L. Gau, M.C. Tsai, K.Z. Wang), Linear and Multlinear Algebra 64 (2016), 58-67. DOI:10.1080/03081087.2015.1024195 pdf file.

{304.} Bounds on probability of state transfer with respect to readout time and edge weight (with Whitney Gordon*, Steve Kirkland, Sarah Plosker, Xiaohong Zhang**), Physical Review A 93, 022309. pdf file.

{305.} Perturbing eigenvalues of nonnegative matrices (with Yiu-Tung Poon and Xuefeng Wang), Linear Algebra Appl. 498 (2016), 3-20. pdf file.

{306.} Preservers of unitary similarity functions on Lie products of matrices (with Jianlian Cui and Yiu-Tung Poon), Linear Algebra Appl. 498 (2016), 160-180. pdf file.

{307.} Factoring a quadratic operator as a product of two positive contractions (with Ming-Cheng Tsai), Bulletin Canad. Math. Soc. 59(2016), no. 2, 354-362. http://dx.doi.org/10.4153/CMB-2015-049-4. pdf file.

{308.} Optimal Bounds on Functions of Quantum States under Quantum Channels (with Diane Christine Pelejo** and Kuo-Zhong Wang), Quantum Information and Computation 16 (2016), pp0845-0861. pdf file.

{309.} Product of two positive contractions (with Diane Christine Pelejo** and Kuo-Zhong Wang), 12 pages, Linear Algebra Appl. 501 (2016), 409-423. pdf file.

{310.} Minkowski product of convex sets and product numerical range (with Diane Pelejo**, Yiu-Tung Poon and Kuo-Zhong Wang), 19 pages, Operators and Matrices 10 (2016), no. 4, 945-965. pdf file.

{311.} Parallel distinguishability of quantum operations (with Runyao Duan, Cheng Guo, and Yinan Li**) 5 double column pages, Proceedings of 2016 IEEE International Symposium on Information Theory (ISIT). DOI: 10.1109/ISIT.2016.7541701 pdf file.

{312.} Quantifying the coherence of pure quantum states (with Jianxin Chen, Shane Grogan*, Nathaniel Johnston, Sarah Plosker), 11 double column pages, Physical Review A, Vol. 94, Iss. 4. DOI:https://doi.org/10.1103/PhysRevA.94.042313 pdf file.

{313.} Numerical ranges of the product of operators (with Hongke Du, Kuo-Zhong Wang, Yueqing Wang, Ning Zuo), 16 pages, Operators and Matrices 11 (2017), 171-180. pdf file.

{314.} Products of positive semi-definite matrices (with Jianlian Cui and Nung-Sing Sze), Linear Algebra Appl. 528 (2017), 17-24. pdf file.

{315.} Unitary similarity invariant function preservers of skew products of operators (with Jianlian Cui and Nung-Sing Sze), J. Math. Anal. Appl. 454 (2017), no. 2, 716-729. pdf file.

## Papers accepted for publications

{316.} Inequalities on generalized matrix functions (with Shaowu Huang**, Yiu-Tung Poon, Qing-Wen Wang), 15 pages, Linear and Multilinear Algebra, pdf file.

{317.} The modified trace distance of coherence is constant on most pure states (with Nathaniel Johnston and Sarah Plosker), 4 double column pages, J. Phys. A: Math. Theor https://doi.org/10.1088/1751-8121/aaa275. pdf file.

{318.} Preservers of isometries (with Dijana Ilisevic, Bojan Kuzma, Ed Poon), 13 pages, Acta Universitatis Szegediensis. pdf file.

{319.} Convexity and Star-shapedness of Matricial Range (with Pan-Shun Lau, Yiu-Tung Poon, Nung-Sing Sze), 14 pages, J. Functional Analysis. pdf file.

## Proceeding papers

{1.} Eigenvalues, singular values, and Littlewood-Richardson Coefficients, Role of operator inequalities in operator theory (Proceedings of the Kyoto Meeting on Operator Inequalities, 2004) 2005, 65-76. pdf file.

{2.} Research experience with undergraduate - from the mathematical educational viewpoint, Proceedings of the KAIST International Symposium on Mathematical Education, 2005. Complete collection. published in CBMS Issues in Mathematics Education 14 (2007), 111-116.

## Articles

{I.} Linear Algebra in Hong Kong, IMAGE (The Bulletin of the International Linear Algebra Society) 17 (1996), 14-16.

{II.} Research Experiences with Undergraduates, IMAGE (The Bulletin of the International Linear Algebra Society) 31 (2003).

{III.} One Horse Racing Story in Ancient China, Two Card Games, and Three Matrix Theorems, IMAGE (The Bulletin of the International Linear Algebra Society) 47 (2011).

{IV} A Conversation with Professor Tsuyoshi Ando, IMAGE (The Bulletin of the International Linear Algebra Society) 50 (2013).

## Chapters in books

{1.} A Survey on Linear Preserver Problems, Linear and Multilinear Algebra Vol.\ 33, nos 1--2, 1992.

Chapter 5 Linear preservers on functions of singular values (with Nam-Kiu Tsing).
Chapter 6 Linear preservers of numerical ranges, numerical radii, and unitary similarity invariant norms (with Nam-Kiu Tsing).
Chapter 7 Linear preservers of relations on matrix spaces (with Nam-Kiu Tsing).
Chapter 9 Miscellaneous preserver problems (with LeRoy Beasley and Stephen Pierce).

{2.} A chapter on The Numerical Range, The Handbook of Linear Algebra, edited by Leslie Hogben et al., Chapman & Hall/CRC, 2006.

{3.} Chapter 1. Matrix Techniques in Quantum Information Science, Diversities in Quantum Computation and Quantum Information, edited by Mikio Nakahara et al., World Scientific, 2012.

{4.} A review on operator quantum error correction, (jont with Y.T. Poon and N.S. Sze) Proceeding of the 2013 summer workshop at Kinki University. World Scientific.

## Edited volumes

{1.} Proceedings of the Second Conference of the International Linear Algebra Society, Lisbon, August 3--7, 1992. Linear Algebra Appl. 197/198 (1994). (Special Editors: J. Dias da Silva, C.K. Li and G. de Oliveira)

{2.} Special issue on The Numerical Range and Numerical Radius, Linear and Multilinear Algebra Vol.\ 37, nos 1--3, 1994. (Special Editors: T. Ando and C.K. Li)

{3.} Special issue on The Numerical Range and Numerical Radius, Linear and Multilinear Algebra Vol.\ 43, no 4, 1998. (Special Editors: T. Ando and C.K. Li)

{4.} Special issue dedicated to Professor T. Ando, Linear Algebra Appl. 341 (2002), 1--3. (Special Editors: R. Bhatia, C.K. Li, K. Okubo, M. Tsatsomeros)

{5.} Special issue on The Numerical Range and Numerical Radius, Linear and Multilinear Algebra Vol.\ 52, nos 3--4, 2004. (Special Editors: C.K. Li and T.Y. Tam)

{6.} Proceedings of the International Conference on Matrix Analysis and Applications Dec. 14-16, 2003, Nova Southeastern University, Fort Lauderdale, Florida, Linear Algebra Appl. Vol. 399, 2005. (Special Editors: C.K. Li, H. Woerdeman, F. Zhang)

{7.} Special issue on The Numerical Range and Numerical Radius, Linear and Multilinear Algebra Vol.\ 56, nos 1--2, 2008. (Special Editors: C.K. Li, L. Rodman and C. Tretter)

{8.} Special issue on Quantum Information Science and The Numerical Range Linear and Multilinear Algebra Vol.\ 59, no. 10, 2010. (Special Editors: S. Kirkland and C.K. Li)

## Book Reviews

{I.} Review of Matrix Analysis, (author: Bhatia)'', Linear Algebra Appl.\ 273 (1998), 227-229.