Matrix Inequalities for Iterative Systems
Author:   Hanjo Taubig (Technische Universitat Munchen, Garching, Germany)
Publisher:   Taylor & Francis Ltd
ISBN:  

9780367782603


Pages:   218
Publication Date:   31 March 2021
Format:   Paperback
Availability:   In Print   Availability explained
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Matrix Inequalities for Iterative Systems


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Overview

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.

Full Product Details

Author:   Hanjo Taubig (Technische Universitat Munchen, Garching, Germany)
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
Weight:   0.453kg
ISBN:  

9780367782603


ISBN 10:   036778260
Pages:   218
Publication Date:   31 March 2021
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Introduction. Notation and Basic Facts. Motivation. Diagonalization and Spectral Decomposition. Undirected Graphs / Hermitian Matrices. General Results. Restricted Graph Classes. Directed Graphs / Nonsymmetric. Walks and Alternating Walks in Directed Graphs. Powers of Row and Column Sums. Applications. Bounds for the Largest Eigenvalue. Iterated Kernels. Conclusion. Bibliography. Index.

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