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Titlebook: Generalized Inverses: Theory and Computations; Guorong Wang,Yimin Wei,Sanzheng Qiao Book 2018 Springer Nature Singapore Pte Ltd. and Scien

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书目名称Generalized Inverses: Theory and Computations
编辑Guorong Wang,Yimin Wei,Sanzheng Qiao
视频video
概述Describes the developments in the research directions and the types of the generalized inverses since mid-1970s.Includes the fundamentals as well as advanced topics.Ready to be adopted as a textbook o
丛书名称Developments in Mathematics
图书封面Titlebook: Generalized Inverses: Theory and Computations;  Guorong Wang,Yimin Wei,Sanzheng Qiao Book 2018 Springer Nature Singapore Pte Ltd. and Scien
描述.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..
出版日期Book 2018
关键词determinant representations; Cramer rule; matrix product; reverse order law; generalized singular value
版次1
doihttps://doi.org/10.1007/978-981-13-0146-9
isbn_softcover978-981-13-4340-7
isbn_ebook978-981-13-0146-9Series ISSN 1389-2177 Series E-ISSN 2197-795X
issn_series 1389-2177
copyrightSpringer Nature Singapore Pte Ltd. and Science Press 2018
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1389-2177 s, 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..978-981-13-4340-7978-981-13-0146-9Series ISSN 1389-2177 Series E-ISSN 2197-795X
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Drazin Inverse,of solution, or the least-square solution, for a system of linear equations just as the regular inverse provides a unique solution for a nonsingular system of linear equations. Hence the . inverses are called equation solving inverses. However, there are some properties of the regular inverse matrix
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Generalized Inverses of Polynomial Matrices,ents. Formally speaking, in the univariable case, . and . are isomorphic. In other words, extending the entries of matrices to polynomials is the same as extending the coefficients of polynomials to matrices.
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Operator Drazin Inverse, . by .(.). In this chapter, we will investigate the definition, basic properties, representation theorem and computational methods for the Drazin inverse of an operator ., . is closed, where . is the index of ..
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