Matrix inequalities for iterative systems
"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? Inequ…
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- Full title :Matrix inequalities for iterative systems / Hanjo Täubig, Department of Computer Science, Technische Universität München, Garching, Germany.
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."--Provided by publisher
Read More ↓Edition Statements
- Publication Date:©20
Publication Statements
- Publisher(s):CRC Press, Taylor & Francis Group
- Place of Publication:Boca Raton, FL
- Language:eng
- Publication Date:©20
Notes
"A science publishers book."
The Physical Object
- Description:1 online resource (xiv, 202 pages)
Edition Identifiers
- ISBN:9781498777797, 1498777791, 9781315166131, 1315166135, 9781351679091, 1351679090
- oclc:ocn971613642
- LC Classification:QA188
- Dewey Decimal:512.9/434
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 Matrices -- Walks and Alternating Walks in Directed Graphs -- Powers of Row and Column Sums -- Applications -- Bounds for the Largest Eigenvalue -- Iterated Kernals.
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