國立虎尾科技大學 |

Language: English

Back to Search results for [ subject:"Linear operators" ]

Algebraic properties of generalized ...

SpringerLink (Online service)

Algebraic properties of generalized inverses

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Algebraic properties of generalized inverses/ by Dragana S. Cvetkovic-Ilic, Yimin Wei.
Author:	Cvetkovic-Ilic, Dragana S.
other author:	Wei, Yimin.
Published:	Singapore :Springer Singapore : : 2017.,
Description:	viii, 194 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Linear operators - Generalized inverses. -
Online resource:	http://dx.doi.org/10.1007/978-981-10-6349-7
ISBN:	9789811063497

Algebraic properties of generalized inverses
Cvetkovic-Ilic, Dragana S.

Algebraic properties of generalized inverses[electronic resource] /by Dragana S. Cvetkovic-Ilic, Yimin Wei. - Singapore :Springer Singapore :2017. - viii, 194 p. :ill., digital ;24 cm. - Developments in mathematics,v.521389-2177 ;. - Developments in mathematics ;v.20..

Deﬁnitions and motivations -- Reverse order law -- Completions of operator matrices and generalized inverses -- Generalized inverses and idempotents -- Drazin inverse of a 2 × 2 block matrix -- Additive Results for the Drazin Inverse -- Index.

This book addresses selected topics in the theory of generalized inverses. Following a discussion of the "reverse order law" problem and certain problems involving completions of operator matrices, it subsequently presents a specific approach to solving the problem of the reverse order law for {1} -generalized inverses. Particular emphasis is placed on the existence of Drazin invertible completions of an upper triangular operator matrix; on the invertibility and different types of generalized invertibility of a linear combination of operators on Hilbert spaces and Banach algebra elements; on the problem of finding representations of the Drazin inverse of a 2x2 block matrix; and on selected additive results and algebraic properties for the Drazin inverse. In addition to the clarity of its content, the book discusses the relevant open problems for each topic discussed. Comments on the latest references on generalized inverses are also included. Accordingly, the book will be useful for graduate students, PhD students and researchers, but also for a broader readership interested in these topics.

ISBN: 9789811063497

Standard No.: 10.1007/978-981-10-6349-7doiSubjects--Topical Terms:

1172375
Linear operators
--Generalized inverses.

LC Class. No.: QA329.2 / .I55 2017

Dewey Class. No.: 515.7246

Algebraic properties of generalized inverses
LDR:02387nam a2200325 a 4500 001 905316
003 DE-He213
005 20180427172009.0
006 m d
007 cr nn 008maaau
008 190308s2017 si s 0 eng d
020 $a 9789811063497 $q (electronic bk.)
020 $a 9789811063480 $q (paper)
024 7 $a 10.1007/978-981-10-6349-7 $2 doi
035 $a 978-981-10-6349-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA329.2 $b .I55 2017
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
082 0 4 $a 515.7246 $2 23
090 $a QA329.2 $b .C993 2017
100 1 $a Cvetkovic-Ilic, Dragana S. $3 1172373
245 1 0 $a Algebraic properties of generalized inverses $h [electronic resource] / $c by Dragana S. Cvetkovic-Ilic, Yimin Wei.
260 $a Singapore : $c 2017. $b Springer Singapore : $b Imprint: Springer,
300 $a viii, 194 p. : $b ill., digital ; $c 24 cm.
490 1 $a Developments in mathematics, $x 1389-2177 ; $v v.52
505 0 $a Deﬁnitions and motivations -- Reverse order law -- Completions of operator matrices and generalized inverses -- Generalized inverses and idempotents -- Drazin inverse of a 2 × 2 block matrix -- Additive Results for the Drazin Inverse -- Index.
520 $a This book addresses selected topics in the theory of generalized inverses. Following a discussion of the "reverse order law" problem and certain problems involving completions of operator matrices, it subsequently presents a specific approach to solving the problem of the reverse order law for {1} -generalized inverses. Particular emphasis is placed on the existence of Drazin invertible completions of an upper triangular operator matrix; on the invertibility and different types of generalized invertibility of a linear combination of operators on Hilbert spaces and Banach algebra elements; on the problem of finding representations of the Drazin inverse of a 2x2 block matrix; and on selected additive results and algebraic properties for the Drazin inverse. In addition to the clarity of its content, the book discusses the relevant open problems for each topic discussed. Comments on the latest references on generalized inverses are also included. Accordingly, the book will be useful for graduate students, PhD students and researchers, but also for a broader readership interested in these topics.
650 0 $a Linear operators $x Generalized inverses. $3 1172375
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 672090
700 1 $a Wei, Yimin. $3 1172374
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Developments in mathematics ; $v v.20. $3 881577
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-6349-7
950 $a Mathematics and Statistics (Springer-11649)

based on 0 review(s)

Multimedia

Reviews

Add a review and share your thoughts with other readers

Export

pickup library