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| Author | : K.P.S. Bhaskara Rao |
| Publisher | : CRC Press |
| Total Pages | : 192 |
| Release | : 2002-03-21 |
| Genre | : Mathematics |
| ISBN | : 0203218876 |
Download Theory of Generalized Inverses Over Commutative Rings Book in PDF, ePub and Kindle
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
| Author | : Jianlong Chen |
| Publisher | : Springer Nature |
| Total Pages | : 331 |
| Release | : |
| Genre | : |
| ISBN | : 9819982855 |
Download Algebraic Theory of Generalized Inverses Book in PDF, ePub and Kindle
| Author | : Adi Ben-Israel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 433 |
| Release | : 2006-04-18 |
| Genre | : Mathematics |
| ISBN | : 0387216340 |
Download Generalized Inverses Book in PDF, ePub and Kindle
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.
| Author | : Guorong Wang |
| Publisher | : Springer |
| Total Pages | : 378 |
| Release | : 2018-05-12 |
| Genre | : Mathematics |
| ISBN | : 9811301468 |
Download Generalized Inverses: Theory and Computations Book in PDF, ePub and Kindle
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.
| Author | : Ravindra B. Bapat |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 283 |
| Release | : 2013-02-11 |
| Genre | : Mathematics |
| ISBN | : 8132210530 |
Download Combinatorial Matrix Theory and Generalized Inverses of Matrices Book in PDF, ePub and Kindle
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.
| Author | : Stephen L. Campbell |
| Publisher | : SIAM |
| Total Pages | : 289 |
| Release | : 2009-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898719046 |
Download Generalized Inverses of Linear Transformations Book in PDF, ePub and Kindle
Generalized (or pseudo-) inverse concepts routinely appear throughout applied mathematics and engineering, in both research literature and textbooks. Although the basic properties are readily available, some of the more subtle aspects and difficult details of the subject are not well documented or understood. First published in 1979, Generalized Inverses of Linear Transformations remains up-to-date and readable, and it includes chapters on Markov chains and the Drazin inverse methods that have become significant to many problems in applied mathematics. The book provides comprehensive coverage of the mathematical theory of generalized inverses coupled with a wide range of important and practical applications that includes topics in electrical and computer engineering, control and optimization, computing and numerical analysis, statistical estimation, and stochastic processes. Audience: intended for use as a reference by applied scientists and engineers.
| Author | : Adi Ben-Israel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 433 |
| Release | : 2003-06-16 |
| Genre | : Mathematics |
| ISBN | : 0387002936 |
Download Generalized Inverses Book in PDF, ePub and Kindle
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.
| Author | : Dragana S. Cvetković‐Ilić |
| Publisher | : Springer |
| Total Pages | : 203 |
| Release | : 2017-10-07 |
| Genre | : Mathematics |
| ISBN | : 9811063494 |
Download Algebraic Properties of Generalized Inverses Book in PDF, ePub and Kindle
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.
| Author | : Leslie Hogben |
| Publisher | : CRC Press |
| Total Pages | : 1906 |
| Release | : 2013-11-26 |
| Genre | : Mathematics |
| ISBN | : 1498785603 |
Download Handbook of Linear Algebra Book in PDF, ePub and Kindle
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and
| Author | : Alberto Facchini |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 237 |
| Release | : 2019-05-31 |
| Genre | : Algebra |
| ISBN | : 1470443678 |
Download Model Theory of Modules, Algebras and Categories Book in PDF, ePub and Kindle
This volume contains the proceedings of the international conference Model Theory of Modules, Algebras and Categories, held from July 28–August 2, 2017, at the Ettore Majorana Foundation and Centre for Scientific Culture in Erice, Italy. Papers contained in this volume cover recent developments in model theory, module theory and category theory, and their intersection.
