Generalized Inverses: Theory and Computations

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 prod...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser: Wang, Guorong (VerfasserIn)
Format: Elektronisch E-Book
Sprache:Englisch
Veröffentlicht: Singapore : Springer Singapore , 2018.
Ausgabe:1st ed. 2018.
Schriftenreihe:Developments in Mathematics, 53
Schlagworte:
Matrix theory.
Algebra.
Operator theory.
Computer mathematics.
ISBN:9789811301469
ISSN:1389-2177 ;
Online-Zugang: Volltext
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Inhaltsangabe:
  • 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.

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