國立高雄大學圖資館 |

Language: English

Back

Generalized inversestheory and compu...

Qiao, Sanzheng.

Generalized inversestheory and computations /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Generalized inversesby Guorong Wang, Yimin Wei, Sanzheng Qiao.
Reminder of title:	theory and computations /
Author:	Wang, Guorong.
other author:	Wei, Yimin.
Published:	Singapore :Springer Singapore :2018.
Description:	xix, 378 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Linear operatorsGeneralized inverses.
Online resource:	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 /
LDR:02518nmm a2200325 a 4500 001 538961
003 DE-He213
005 20181129170113.0
006 m d
007 cr nn 008maaau
008 190122s2018 si s 0 eng d
020 $a 9789811301469$q(electronic bk.)
020 $a 9789811301452$q(paper)
024 7 $a 10.1007/978-981-13-0146-9 $2 doi
035 $a 978-981-13-0146-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329.2 $b .W364 2018
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
082 0 4 $a 515.357 $2 23
090 $a QA329.2 $b .W246 2018
100 1 $a Wang, Guorong. $3 816301
245 1 0 $a Generalized inverses $h [electronic resource] : $b theory and computations / $c by Guorong Wang, Yimin Wei, Sanzheng Qiao.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2018.
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.
650 0 $a Linear operators $x Generalized inverses. $3 795010
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
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
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Developments in mathematics ; $v v.25. $3 558834
856 4 0 $u http://dx.doi.org/10.1007/978-981-13-0146-9
950 $a Mathematics and Statistics (Springer-11649)