Numerical And Symbolic Computations Of Generalized Inverses

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Release : 2018-07-18
Genre : Mathematics
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Book Rating : 682/5 ( reviews)

Numerical And Symbolic Computations Of Generalized Inverses - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical And Symbolic Computations Of Generalized Inverses write by Yimin Wei. This book was released on 2018-07-18. Numerical And Symbolic Computations Of Generalized Inverses available in PDF, EPUB and Kindle. We introduce new methods connecting numerics and symbolic computations, i.e., both the direct and iterative methods as well as the symbolic method for computing the generalized inverses. These will be useful for Engineers and Statisticians, in addition to applied mathematicians.Also, main applications of generalized inverses will be presented. Symbolic method covered in our book but not discussed in other book, which is important for numerical-symbolic computations.

Numerical and Symbolic Computations of Generalized Inverses

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Author :
Release : 2001
Genre : MATHEMATICS
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Book Rating : 671/5 ( reviews)

Numerical and Symbolic Computations of Generalized Inverses - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Numerical and Symbolic Computations of Generalized Inverses write by Yimin Wei (Mathematics professor). This book was released on 2001. Numerical and Symbolic Computations of Generalized Inverses available in PDF, EPUB and Kindle.

Generalized Inverses: Theory and Computations

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

Generalized Inverses: Theory and Computations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalized Inverses: Theory and Computations write by Guorong Wang. This book was released on 2018-05-12. Generalized Inverses: Theory and Computations available 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.

Generalized Inverses

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

Generalized Inverses - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Generalized Inverses write by Adi Ben-Israel. This book was released on 2006-04-18. Generalized Inverses available 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.

Computation of Generalized Matrix Inverses and Applications

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Release : 2017-12-14
Genre : Mathematics
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Book Rating : 067/5 ( reviews)

Computation of Generalized Matrix Inverses and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computation of Generalized Matrix Inverses and Applications write by Ivan Stanimirović. This book was released on 2017-12-14. Computation of Generalized Matrix Inverses and Applications available in PDF, EPUB and Kindle. This volume offers a gradual exposition to matrix theory as a subject of linear algebra. It presents both the theoretical results in generalized matrix inverses and the applications. The book is as self-contained as possible, assuming no prior knowledge of matrix theory and linear algebra. The book first addresses the basic definitions and concepts of an arbitrary generalized matrix inverse with special reference to the calculation of {i,j,...,k} inverse and the Moore–Penrose inverse. Then, the results of LDL* decomposition of the full rank polynomial matrix are introduced, along with numerical examples. Methods for calculating the Moore–Penrose’s inverse of rational matrix are presented, which are based on LDL* and QDR decompositions of the matrix. A method for calculating the A(2)T;S inverse using LDL* decomposition using methods is derived as well as the symbolic calculation of A(2)T;S inverses using QDR factorization. The text then offers several ways on how the introduced theoretical concepts can be applied in restoring blurred images and linear regression methods, along with the well-known application in linear systems. The book also explains how the computation of generalized inverses of matrices with constant values is performed. It covers several methods, such as methods based on full-rank factorization, Leverrier–Faddeev method, method of Zhukovski, and variations of the partitioning method.