Matrix Mathematics Theory, Facts, and Formulas (Second Edition)

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1. Verfasser: Bernstein, Dennis S. 1954- (VerfasserIn)
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Sprache:English
Veröffentlicht: Princeton, N.J. Princeton University Press 2009
Ausgabe:2. Aufl., 2nd edition
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Datensatz im Suchindex

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author Bernstein, Dennis S. 1954-
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dewey-hundreds 500 - Natural sciences and mathematics
dewey-ones 512 - Algebra
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dewey-search 512.9/434
dewey-sort 3512.9 3434
dewey-tens 510 - Mathematics
discipline Mathematik
doi_str_mv 10.1515/9781400833344
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format Electronic
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spelling Bernstein, Dennis S. 1954- Verfasser (DE-588)140693319 aut
Matrix Mathematics Theory, Facts, and Formulas (Second Edition)
2. Aufl., 2nd edition
Princeton, N.J. Princeton University Press 2009
1 Online-Ressource (1184 S.)
txt rdacontent
c rdamedia
cr rdacarrier
Main description: When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms. Covers hundreds of important and useful results on matrix theory, many never before available in any book Provides a list of symbols and a summary of conventions for easy use Includes an extensive collection of scalar identities and inequalities Features a detailed bibliography and author index with page references Includes an exhaustive subject index with cross-referencing
Matrizenpolynom (DE-588)4169130-1 gnd rswk-swf
Determinante (DE-588)4138983-9 gnd rswk-swf
Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf
Lineare Kontrolltheorie (DE-588)4123657-9 gnd rswk-swf
Matrizentheorie (DE-588)4128970-5 gnd rswk-swf
Lineares Gleichungssystem (DE-588)4035826-4 gnd rswk-swf
Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf
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Determinante (DE-588)4138983-9 s
Matrizenpolynom (DE-588)4169130-1 s
Lineares Gleichungssystem (DE-588)4035826-4 s
Lineare Kontrolltheorie (DE-588)4123657-9 s
Matrizenrechnung (DE-588)4126963-9 s
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spellingShingle Bernstein, Dennis S. 1954-
Matrix Mathematics Theory, Facts, and Formulas (Second Edition)
Matrizenpolynom (DE-588)4169130-1 gnd
Determinante (DE-588)4138983-9 gnd
Matrix Mathematik (DE-588)4037968-1 gnd
Lineare Kontrolltheorie (DE-588)4123657-9 gnd
Matrizentheorie (DE-588)4128970-5 gnd
Lineares Gleichungssystem (DE-588)4035826-4 gnd
Matrizenrechnung (DE-588)4126963-9 gnd
subject_GND (DE-588)4169130-1
(DE-588)4138983-9
(DE-588)4037968-1
(DE-588)4123657-9
(DE-588)4128970-5
(DE-588)4035826-4
(DE-588)4126963-9
(DE-588)4123623-3
title Matrix Mathematics Theory, Facts, and Formulas (Second Edition)
title_auth Matrix Mathematics Theory, Facts, and Formulas (Second Edition)
title_exact_search Matrix Mathematics Theory, Facts, and Formulas (Second Edition)
title_full Matrix Mathematics Theory, Facts, and Formulas (Second Edition)
title_fullStr Matrix Mathematics Theory, Facts, and Formulas (Second Edition)
title_full_unstemmed Matrix Mathematics Theory, Facts, and Formulas (Second Edition)
title_short Matrix Mathematics
title_sort matrix mathematics theory facts and formulas second edition
title_sub Theory, Facts, and Formulas (Second Edition)
topic Matrizenpolynom (DE-588)4169130-1 gnd
Determinante (DE-588)4138983-9 gnd
Matrix Mathematik (DE-588)4037968-1 gnd
Lineare Kontrolltheorie (DE-588)4123657-9 gnd
Matrizentheorie (DE-588)4128970-5 gnd
Lineares Gleichungssystem (DE-588)4035826-4 gnd
Matrizenrechnung (DE-588)4126963-9 gnd
topic_facet Matrizenpolynom
Determinante
Matrix Mathematik
Lineare Kontrolltheorie
Matrizentheorie
Lineares Gleichungssystem
Matrizenrechnung
Lehrbuch
url https://doi.org/10.1515/9781400833344
work_keys_str_mv AT bernsteindenniss matrixmathematicstheoryfactsandformulassecondedition