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010   $a978-981-13-0146-9
010   $a981-13-0146-8
024 7 $a10.1007/978-981-13-0146-9
035   $a(CKB)4100000004244361
035   $a(DE-He213)978-981-13-0146-9
035   $a(MiAaPQ)EBC5394431
035   $a(PPN)227400232
035   $a(EXLCZ)994100000004244361
100   $a20180512d2018      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aGeneralized Inverses: Theory and Computations /$fby Guorong Wang, Yimin Wei, Sanzheng Qiao
205   $a1st ed. 2018.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2018.
215   $a1 online resource (XIX, 378 p. 6 illus.) 
225 1 $aDevelopments in Mathematics,$x2197-795X ;$v53
311 08$a981-13-0145-X 
327   $aEquation 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.
330   $aThis book begins with the fundamentals of the generalized inverses, then moves to more advanced topics. It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the generalized inverses, perturbation analysis of the generalized inverses, an algorithmic study of the computational methods for the full-rank factorization of a generalized inverse, generalized singular value decomposition, imbedding method, finite method, generalized inverses of polynomial matrices, and generalized inverses of linear operators. This book is intended for researchers, postdocs, and graduate students in the area of the generalized inverses with an undergraduate-level understanding of linear algebra.
410  0$aDevelopments in Mathematics,$x2197-795X ;$v53
606   $aAlgebras, Linear
606   $aOperator theory
606   $aMathematics$xData processing
606   $aLinear Algebra
606   $aOperator Theory
606   $aComputational Mathematics and Numerical Analysis
615  0$aAlgebras, Linear.
615  0$aOperator theory.
615  0$aMathematics$xData processing.
615 14$aLinear Algebra.
615 24$aOperator Theory.
615 24$aComputational Mathematics and Numerical Analysis.
676   $a512.5
700   $aWang$b Guorong$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767977
702   $aWei$b Yimin$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aQiao$b Sanzheng$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300102803321
996   $aGeneralized Inverses: Theory and Computations$92047135
997   $aUNINA