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Generalized Inverses: Theory and Computations
Buch von Guorong Wang (u. a.)
Sprache: Englisch

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Beschreibung
This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.
It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.
This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.
It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.
Zusammenfassung

Describes the developments in the research directions and the types of the generalized inverses since mid-1970s

Includes the fundamentals as well as advanced topics

Ready to be adopted as a textbook or reference book for graduate courses

Inhaltsverzeichnis
Equation Solving Generalized Inverses.- Drazin Inverse.- Generalization of the Cramer's Rule and the Minors of the Generalized Inverses.- Reverse Order and Forward Order Laws for A(2)T,S.- Computational Aspects.- Structured Matrices and Their Generalized Inverses.- Parallel Algorithms for Computing the Generalized Inverses.- Perturbation Analysis of the Moore-Penrose Inverse and the Weighted Moore-Penrose Inverse.- Perturbation Analysis of the Drazin Inverse and the Group Inverse.- Generalized Inverses of Polynomial Matrices.- M-P Inverse of Linear Operators.
Details
Erscheinungsjahr: 2018
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Developments in Mathematics
Inhalt: xix
378 S.
6 s/w Illustr.
378 p. 6 illus.
ISBN-13: 9789811301452
ISBN-10: 981130145X
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Wang, Guorong
Qiao, Sanzheng
Wei, Yimin
Auflage: 1st ed. 2018
Hersteller: Springer Singapore
Springer Nature Singapore
Developments in Mathematics
Maße: 241 x 160 x 27 mm
Von/Mit: Guorong Wang (u. a.)
Erscheinungsdatum: 24.05.2018
Gewicht: 0,764 kg
Artikel-ID: 112579407
Zusammenfassung

Describes the developments in the research directions and the types of the generalized inverses since mid-1970s

Includes the fundamentals as well as advanced topics

Ready to be adopted as a textbook or reference book for graduate courses

Inhaltsverzeichnis
Equation Solving Generalized Inverses.- Drazin Inverse.- Generalization of the Cramer's Rule and the Minors of the Generalized Inverses.- Reverse Order and Forward Order Laws for A(2)T,S.- Computational Aspects.- Structured Matrices and Their Generalized Inverses.- Parallel Algorithms for Computing the Generalized Inverses.- Perturbation Analysis of the Moore-Penrose Inverse and the Weighted Moore-Penrose Inverse.- Perturbation Analysis of the Drazin Inverse and the Group Inverse.- Generalized Inverses of Polynomial Matrices.- M-P Inverse of Linear Operators.
Details
Erscheinungsjahr: 2018
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Developments in Mathematics
Inhalt: xix
378 S.
6 s/w Illustr.
378 p. 6 illus.
ISBN-13: 9789811301452
ISBN-10: 981130145X
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Wang, Guorong
Qiao, Sanzheng
Wei, Yimin
Auflage: 1st ed. 2018
Hersteller: Springer Singapore
Springer Nature Singapore
Developments in Mathematics
Maße: 241 x 160 x 27 mm
Von/Mit: Guorong Wang (u. a.)
Erscheinungsdatum: 24.05.2018
Gewicht: 0,764 kg
Artikel-ID: 112579407
Warnhinweis