Generalized Inverses: Theory and Computations

• Main Authors: Wang, Guorong (Author, http://id.loc.gov/vocabulary/relators/aut), Wei, Yimin (http://id.loc.gov/vocabulary/relators/aut), Qiao, Sanzheng (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Developments in Mathematics, 53
• Subjects: Matrix theory.; Algebra.; Operator theory.; Computer mathematics.; Linear and Multilinear Algebras, Matrix Theory.; Operator Theory.; Computational Mathematics and Numerical Analysis.

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...

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.