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Generalized inverses = theory and computations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Generalized inverses/ by Guorong Wang, Yimin Wei, Sanzheng Qiao.
其他題名:	theory and computations /
作者:	Wang, Guorong.
其他作者:	Wei, Yimin.
出版者:	Singapore :Springer Singapore : : 2018.,
面頁冊數:	xix, 378 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Linear operators - Generalized inverses. -
電子資源:	http://dx.doi.org/10.1007/978-981-13-0146-9
ISBN:	9789811301469

Generalized inverses = theory and computations /
Wang, Guorong.

Generalized inversestheory and computations /[electronic resource] :by Guorong Wang, Yimin Wei, Sanzheng Qiao. - Singapore :Springer Singapore :2018. - xix, 378 p. :ill., digital ;24 cm. - Developments in mathematics,v.531389-2177 ;. - Developments in mathematics ;v.20..

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.

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.

ISBN: 9789811301469

Standard No.: 10.1007/978-981-13-0146-9doiSubjects--Topical Terms:

1172375
Linear operators
--Generalized inverses.

LC Class. No.: QA329.2 / .W364 2018

Dewey Class. No.: 515.357

Generalized inverses = theory and computations /
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245 1 0 $a Generalized inverses $h [electronic resource] : $b theory and computations / $c by Guorong Wang, Yimin Wei, Sanzheng Qiao.
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505 0 $a 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.
520 $a 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.
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