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Theory of Generalized Inverses Over Commutative Rings

2002-03-21 Mathematics
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Release : 2002-03-21
Genre : Mathematics
Kind : eBook
Book Rating : 876/5 ( reviews)

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Book Synopsis Theory of Generalized Inverses Over Commutative Rings by : K.P.S. Bhaskara Rao

Download or read book Theory of Generalized Inverses Over Commutative Rings written by K.P.S. Bhaskara Rao. This book was released on 2002-03-21. Available in PDF, EPUB and Kindle. Book excerpt: The theory of generalized inverses of real or complex matrices has been expertly developed and documented. But the generalized inverses of matrices over rings have received comprehensive treatment only recently. In this book, the author, who contributed to the research and development of the theory, explains his results. He explores regular element

Generalized Inverses: Theory and Computations

2018-05-12 Mathematics
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Release : 2018-05-12
Genre : Mathematics
Kind : eBook
Book Rating : 468/5 ( reviews)

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Book Synopsis Generalized Inverses: Theory and Computations by : Guorong Wang

Download or read book Generalized Inverses: Theory and Computations written by Guorong Wang. This book was released on 2018-05-12. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Generalized Inverses

2006-04-18 Mathematics
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Release : 2006-04-18
Genre : Mathematics
Kind : eBook
Book Rating : 340/5 ( reviews)

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Book Synopsis Generalized Inverses by : Adi Ben-Israel

Download or read book Generalized Inverses written by Adi Ben-Israel. This book was released on 2006-04-18. Available in PDF, EPUB and Kindle. Book excerpt: This second edition accounts for many major developments in generalized inverses while maintaining the informal and leisurely style of the 1974 first edition. Added material includes a chapter on applications, new exercises, and an appendix on the work of E.H. Moore.

Algebraic Theory of Generalized Inverses

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Kind : eBook
Book Rating : 855/5 ( reviews)

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Book Synopsis Algebraic Theory of Generalized Inverses by : Jianlong Chen

Download or read book Algebraic Theory of Generalized Inverses written by Jianlong Chen. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Matrix Theory and Generalized Inverses of Matrices

2013-02-11 Mathematics
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Release : 2013-02-11
Genre : Mathematics
Kind : eBook
Book Rating : 530/5 ( reviews)

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Book Synopsis Combinatorial Matrix Theory and Generalized Inverses of Matrices by : Ravindra B. Bapat

Download or read book Combinatorial Matrix Theory and Generalized Inverses of Matrices written by Ravindra B. Bapat. This book was released on 2013-02-11. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of eighteen articles in the area of `Combinatorial Matrix Theory' and `Generalized Inverses of Matrices'. Original research and expository articles presented in this publication are written by leading Mathematicians and Statisticians working in these areas. The articles contained herein are on the following general topics: `matrices in graph theory', `generalized inverses of matrices', `matrix methods in statistics' and `magic squares'. In the area of matrices and graphs, speci_c topics addressed in this volume include energy of graphs, q-analog, immanants of matrices and graph realization of product of adjacency matrices. Topics in the book from `Matrix Methods in Statistics' are, for example, the analysis of BLUE via eigenvalues of covariance matrix, copulas, error orthogonal model, and orthogonal projectors in the linear regression models. Moore-Penrose inverse of perturbed operators, reverse order law in the case of inde_nite inner product space, approximation numbers, condition numbers, idempotent matrices, semiring of nonnegative matrices, regular matrices over incline and partial order of matrices are the topics addressed under the area of theory of generalized inverses. In addition to the above traditional topics and a report on CMTGIM 2012 as an appendix, we have an article on old magic squares from India.

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