Matrix Inequalities for Iterative Systems

1st Edition

Hanjo Taubig

CRC Press
Published November 18, 2016
Reference - 218 Pages - 3 B/W Illustrations
ISBN 9781498777773 - CAT# K29783

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Summary

The book reviews inequalities for weighted entry sums of matrix powers. Applications range from mathematics and CS to pure sciences. It unifies and generalizes several results for products and powers of sesquilinear forms derived from powers of Hermitian, positive-semidefinite, as well as nonnegative matrices. It shows that some inequalities are valid only in specific cases. 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. Lastly, eigenvalue bounds and derive results for iterated kernels are improved.

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