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Generalized inversestheory and compu...

Qiao, Sanzheng.

Generalized inversestheory and computations /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Generalized inversesby 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 operatorsGeneralized inverses.
電子資源:	http://dx.doi.org/10.1007/978-981-13-0146-9
ISBN:	9789811301469$q(electronic bk.)

Generalized inversestheory 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.25..

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$q(electronic bk.)

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

795010
Linear operators
--Generalized inverses.

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

Dewey Class. No.: 515.357

Generalized inversestheory 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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300 $a xix, 378 p. : $b ill., digital ; $c 24 cm.
490 1 $a Developments in mathematics, $x 1389-2177 ; $v v.53
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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650 2 4 $a Operator Theory. $3 274795
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 274020
700 1 $a Wei, Yimin. $3 795009
700 1 $a Qiao, Sanzheng. $3 816302
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