IMA lecture notes of the 2008 summer school at
IOWA State University

Matrix Inequalities and its Applications

• General remark.
• Part 1. Diagonal Entries, Eigenvalues and Singular Values
• Part 2 Submatrices, Sum and Product of Matrices
• Part 3 Norms and norm inequalities
• Part 4 Numerical ranges and quantum computing}
• Part 5 Functions and Matrices