Matrix Inequalities For Iterative Systems
by Hanjo Taubig /
2016 / English / PDF
3.1 MB Download
The book reviews inequalities for weighted entry sums of matrix powers with applications ranging from mathematics and CS to pure science. It unifies and generalizes several results for products and powers of sesquilinear forms derived from powers of Hermitian, positive-semi definite, and nonnegative matrices, and it shows that some inequalities are valid only in specific cases. In addition, the book shows how to translate the Hermitian matrix results into results for alternating powers of general rectangular matrices. Inequalities that compare the powers of the row and column sums to the row and column sums of the matrix powers are refined for nonnegative matrices, and eigenvalue bounds and derived results for iterated kernels are improved upon.
