國立虎尾科技大學 |

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: Theory and Computations/ by Guorong Wang, Yimin Wei, Sanzheng Qiao.
作者:	Wang, Guorong.
其他作者:	Wei, Yimin.
面頁冊數:	XIX, 378 p. 6 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Matrix theory. -
電子資源:	https://doi.org/10.1007/978-981-13-0146-9
ISBN:	9789811301469

Generalized Inverses: Theory and Computations
Wang, Guorong.

Generalized Inverses: Theory and Computations[electronic resource] /by Guorong Wang, Yimin Wei, Sanzheng Qiao. - 1st ed. 2018. - XIX, 378 p. 6 illus.online resource. - Developments in Mathematics,531389-2177 ;. - Developments in Mathematics,41.

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:

1023862
Matrix theory.

LC Class. No.: QA184-205

Dewey Class. No.: 512.5

Generalized Inverses: Theory and Computations
LDR:02891nam a22004095i 4500 001 993374
003 DE-He213
005 20200704200325.0
007 cr nn 008mamaa
008 201225s2018 si | s |||| 0|eng d
020 $a 9789811301469 $9 978-981-13-0146-9
024 7 $a 10.1007/978-981-13-0146-9 $2 doi
035 $a 978-981-13-0146-9
050 4 $a QA184-205
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
072 7 $a PBF $2 thema
082 0 4 $a 512.5 $2 23
100 1 $a Wang, Guorong. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1205150
245 1 0 $a Generalized Inverses: Theory and Computations $h [electronic resource] / $c by Guorong Wang, Yimin Wei, Sanzheng Qiao.
250 $a 1st ed. 2018.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2018.
300 $a XIX, 378 p. 6 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Developments in Mathematics, $x 1389-2177 ; $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 Matrix theory. $3 1023862
650 0 $a Algebra. $2 gtt $3 579870
650 0 $a Operator theory. $3 527910
650 0 $a Computer mathematics. $3 1199796
650 1 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
650 2 4 $a Operator Theory. $3 672127
650 2 4 $a Computational Mathematics and Numerical Analysis. $3 669338
700 1 $a Wei, Yimin. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1172374
700 1 $a Qiao, Sanzheng. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1205151
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811301452
776 0 8 $i Printed edition: $z 9789811301476
776 0 8 $i Printed edition: $z 9789811343407
830 0 $a Developments in Mathematics, $x 1389-2177 ; $v 41 $3 1256322
856 4 0 $u https://doi.org/10.1007/978-981-13-0146-9
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)