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Matrix inequalities for iterative systems

Author: Hanjo Täubig; Xu Hou, (Engineer)
Publisher: Boca Raton, FL : CRC Press, Taylor & Francis Group, [2017] ©20
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Täubig, Hanjo, 1975-
Matrix inequalities for iterative systems.
Boca Raton, FL : CRC Press, Taylor & Francis Group, [2017]
(DLC) 2016030679
(OCoLC)936350418
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Hanjo Täubig; Xu Hou, (Engineer)
ISBN: 9781498777797 1498777791 9781315166131 1315166135 9781351679091 1351679090
OCLC Number: 971613642
Notes: "A science publishers book."
Description: 1 online resource (xiv, 202 pages)
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.
Responsibility: Hanjo Täubig, Department of Computer Science, Technische Universität München, Garching, Germany.

Abstract:

"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.

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