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Matrix Inequalities for Iterative Systems
Udgivet af Taylor & Francis Ltd
ISBN
9780367782603
Om denne bog
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…
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Bogdetaljer
Forfatter
Hanjo Taubig
Forlag
Taylor & Francis Ltd
Kategori
Algebra
ISBN-13
9780367782603
EAN
9780367782603
Format
Hæftet
Sprog
Engelsk
sider
218
Produktbeskrivelse
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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