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CRC Press Matrix Inequalities for Iterative Systems - CRC Press

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Description

Matrix Inequalities for Iterative Systems by CRC Press provides an in-depth review of inequalities for weighted entry sums of matrix powers. This technical resource unifies and generalizes various results for products and powers of sesquilinear forms. It covers derivations from powers of Hermitian, positive-semidefinite, and nonnegative matrices. Designed for researchers and professionals, this book explores the limits of mathematical proofs by showing that certain inequalities are valid only in specific cases. It addresses complex questions, such as how to translate Hermitian matrix results into results for alternating powers of general rectangular matrices. You will find detailed analysis regarding inequalities that compare the powers of row and column sums to the row and column sums of the matrix powers. This text is a valuable asset for those working in mathematics, computer science, and the pure sciences. It offers a structured approach to understanding the relationships between matrix structures and their iterative properties, making it a necessary addition to any academic or professional library in these fields.

Key Features

Covers inequalities for weighted entry sums of matrix powers to support advanced mathematical research.

Unifies and generalizes results for products and powers of sesquilinear forms derived from various matrix types.

Includes analysis of Hermitian, positive-semidefinite, and nonnegative matrices for diverse applications.

Provides guidance on translating Hermitian matrix results into results for alternating powers of general rectangular matrices.

Examines inequalities comparing the powers of row and column sums to the row and column sums of matrix powers.

Supports applications across multiple disciplines including mathematics, computer science, and pure sciences.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
20 October 2016
Listed Since
23 January 2016

Barcode

No barcode data available

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