Generalized Inverses: Theory and Computations

Generalized Inverses: Theory and Computations by Guorong Wang, Yimin Wei, Sanzheng Qiao.

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...

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Bibliographic Details
Main Authors: Wang, Guorong (Author), Wei, Yimin (Author), Qiao, Sanzheng (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
Edition:1st ed. 2018.
Series:Developments in Mathematics, 53
Springer eBook Collection.
Subjects:
Matrix theory.
Algebra.
Operator theory.
Computer mathematics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 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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