Matrix Mathematics: Theory, Facts, and Formulas (Second Edition)
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Princeton, N.J.
Princeton University Press
2009
|
Ausgabe: | 2. Aufl., 2nd edition |
Schlagworte: | |
Online-Zugang: | DE-1043 DE-1046 DE-858 DE-Aug4 DE-859 DE-860 DE-739 Volltext |
Beschreibung: | 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 |
Beschreibung: | 1 Online-Ressource (1184 S.) |
ISBN: | 9781400833344 |
DOI: | 10.1515/9781400833344 |
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Datensatz im Suchindex
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adam_text | |
any_adam_object | |
author | Bernstein, Dennis S. 1954- |
author_GND | (DE-588)140693319 |
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author_role | aut |
author_sort | Bernstein, Dennis S. 1954- |
author_variant | d s b ds dsb |
building | Verbundindex |
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dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.9/434 |
dewey-search | 512.9/434 |
dewey-sort | 3512.9 3434 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1515/9781400833344 |
edition | 2. Aufl., 2nd edition |
format | Electronic eBook |
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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 Lineare Kontrolltheorie (DE-588)4123657-9 gnd rswk-swf Lineares Gleichungssystem (DE-588)4035826-4 gnd rswk-swf Determinante (DE-588)4138983-9 gnd rswk-swf Matrix Mathematik (DE-588)4037968-1 gnd rswk-swf Matrizenpolynom (DE-588)4169130-1 gnd rswk-swf Matrizentheorie (DE-588)4128970-5 gnd rswk-swf Matrizenrechnung (DE-588)4126963-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Matrizentheorie (DE-588)4128970-5 s Matrix Mathematik (DE-588)4037968-1 s 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 2\p DE-604 Gefolgt von: Scalar: Vector, and matrix mathematics 978-0-691-15120-5 https://doi.org/10.1515/9781400833344 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Bernstein, Dennis S. 1954- Matrix Mathematics Theory, Facts, and Formulas (Second Edition) Lineare Kontrolltheorie (DE-588)4123657-9 gnd Lineares Gleichungssystem (DE-588)4035826-4 gnd Determinante (DE-588)4138983-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizenpolynom (DE-588)4169130-1 gnd Matrizentheorie (DE-588)4128970-5 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
subject_GND | (DE-588)4123657-9 (DE-588)4035826-4 (DE-588)4138983-9 (DE-588)4037968-1 (DE-588)4169130-1 (DE-588)4128970-5 (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 | Lineare Kontrolltheorie (DE-588)4123657-9 gnd Lineares Gleichungssystem (DE-588)4035826-4 gnd Determinante (DE-588)4138983-9 gnd Matrix Mathematik (DE-588)4037968-1 gnd Matrizenpolynom (DE-588)4169130-1 gnd Matrizentheorie (DE-588)4128970-5 gnd Matrizenrechnung (DE-588)4126963-9 gnd |
topic_facet | Lineare Kontrolltheorie Lineares Gleichungssystem Determinante Matrix Mathematik Matrizenpolynom Matrizentheorie Matrizenrechnung Lehrbuch |
url | https://doi.org/10.1515/9781400833344 |
work_keys_str_mv | AT bernsteindenniss matrixmathematicstheoryfactsandformulassecondedition |