Hanjo Taubig
Matrix Inequalities for Iterative Systems
Matrix Inequalities for Iterative Systems
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- More about Matrix Inequalities for Iterative Systems
The book reviews inequalities for weighted entry sums of matrix powers, unifying and generalizing results for products and powers of sesquilinear forms. It shows that some inequalities are valid only in specific cases and improves eigenvalue bounds and iterated kernels.
Format: Paperback / softback
Length: 218 pages
Publication date: 31 March 2021
Publisher: Taylor & Francis Ltd
The book "Inequalities for Weighted Entry Sums of Matrix Powers" explores inequalities related to matrix powers and their applications across various fields, including mathematics, computer science, and pure sciences. It unifies and generalizes several results for products and powers of sesquilinear forms derived from powers of Hermitian, positive-semidefinite, and nonnegative matrices. The book highlights that some inequalities hold only in specific cases. It then delves into translating Hermitian matrix results into results for alternating powers of general rectangular matrices, refining inequalities that compare the powers of the row and column sums to the row and column sums of the matrix powers for nonnegative matrices, and improving eigenvalue bounds and derive results for iterated kernels.
Weight: 408g
Dimension: 254 x 178 (mm)
ISBN-13: 9780367782603
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