Generalized Inverses Algorithms And Applications

Author : Ivan Kyrchei
Publisher : Unknown
Page : 128 pages
File Size : 44,6 Mb
Release : 2021-12-31
Category : Electronic
ISBN : 1685073565

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Generalized Inverses: Algorithms and Applications by Ivan Kyrchei Pdf

Generalized Inverses: Algorithms and Applications demonstrates some of the latest hot topics on generalized inverse matrices and their applications. Each article has been carefully selected to present substantial research results. Topics discussed herein include recent advances in exploring of generalizations of the core inverse, particularly in composing appropriate outer inverses and the Moore-Penrose inverse such as OMP, MPO and MPOMP inverses; in analyzing of properties of the BT inverse and the BT-order; in perturbation estimations for the Drazin inverse; in using generalized inverses to solve systems of quaternion matrix equations and Sylvester-type tensor equations under t-product; in computing and approximating the matrix generalized inverses by hyperpower family of iterative methods of arbitrary convergence order; and in studying of the weighted pseudoinverse matrices with singular indefinite weights.

Author : Yimin Wei,Predrag Stanimirovic,Marko Petkovic
Publisher : World Scientific
Page : 472 pages
File Size : 44,9 Mb
Release : 2018-07-18
Category : Mathematics
ISBN : 9789813238688

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Numerical And Symbolic Computations Of Generalized Inverses by Yimin Wei,Predrag Stanimirovic,Marko Petkovic Pdf

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.

Author : Adi Ben-Israel,Thomas N. E. Greville
Publisher : Unknown
Page : 395 pages
File Size : 49,8 Mb
Release : 1980
Category : Electronic
ISBN : OCLC:879034818

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Generalized Inverses by Adi Ben-Israel,Thomas N. E. Greville Pdf

Author : Guorong Wang,Yimin Wei,Sanzheng Qiao
Publisher : Springer
Page : 378 pages
File Size : 45,9 Mb
Release : 2018-05-12
Category : Mathematics
ISBN : 9789811301469

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Generalized Inverses: Theory and Computations by Guorong Wang,Yimin Wei,Sanzheng Qiao Pdf

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 : Ivan Kyrchei
Publisher : Nova Science Publishers
Page : 288 pages
File Size : 42,5 Mb
Release : 2022
Category : Mathematics
ISBN : 1685075134

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Generalized Inverses by Ivan Kyrchei Pdf

"Generalized Inverses: Algorithms and Applications demonstrates some of the latest hot topics on generalized inverse matrices and their applications. Each article has been carefully selected to present substantial research results. Topics discussed herein include recent advances in exploring of generalizations of the core inverse, particularly in composing appropriate outer inverses and the Moore-Penrose inverse such as OMP, MPO and MPOMP inverses; in analyzing of properties of the BT inverse and the BT-order; in perturbation estimations for the Drazin inverse; in using generalized inverses to solve systems of quaternion matrix equations and Sylvester-type tensor equations under t-product; in computing and approximating the matrix generalized inverses by hyperpower family of iterative methods of arbitrary convergence order; and in studying of the weighted pseudoinverse matrices with singular indefinite weights"--

Author : M. Zuhair Nashed
Publisher : Elsevier
Page : 1069 pages
File Size : 51,6 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483270296

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Generalized Inverses and Applications by M. Zuhair Nashed Pdf

Generalized Inverses and Applications, contains the proceedings of an Advanced Seminar on Generalized Inverses and Applications held at the University of Wisconsin-Madison on October 8-10, 1973 under the auspices of the university's Mathematics Research Center. The seminar provided a forum for discussing the basic theory of generalized inverses and their applications to analysis and operator equations. Numerical analysis and approximation methods are considered, along with applications to statistics and econometrics, optimization, system theory, and operations research. Comprised of 14 chapters, this book begins by describing a unified approach to generalized inverses of linear operators, with particular reference to algebraic, topological, extremal, and proximinal properties. The reader is then introduced to the algebraic aspects of the generalized inverse of a rectangular matrix; the Fredholm pseudoinverse; and perturbations and approximations for generalized inverses and linear operator equations. Subsequent chapters deal with various applications of generalized inverses, including programming, games, and networks, as well as estimation and aggregation in econometrics. This monograph will be of interest to mathematicians and students of mathematics.

Author : Stephen L. Campbell,Carl D. Meyer
Publisher : SIAM
Page : 288 pages
File Size : 55,8 Mb
Release : 2009-03-26
Category : Mathematics
ISBN : 9780898716719

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Generalized Inverses of Linear Transformations by Stephen L. Campbell,Carl D. Meyer Pdf

Provides comprehensive coverage of the mathematical theory of generalized inverses and a wide range of important and practical applications.

Author : University of Wisconsin--Madison. Mathematics Research Center
Publisher : Unknown
Page : 1082 pages
File Size : 48,6 Mb
Release : 1976
Category : Mathematics
ISBN : UCSC:32106002292545

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Generalized Inverses and Applications by University of Wisconsin--Madison. Mathematics Research Center Pdf

Author : Ivan Stanimirović
Publisher : CRC Press
Page : 199 pages
File Size : 44,5 Mb
Release : 2017-12-14
Category : Mathematics
ISBN : 9781351630054

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Computation of Generalized Matrix Inverses and Applications by Ivan Stanimirović Pdf

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.

Author : M. Zuhair Nashed
Publisher : Unknown
Page : 1054 pages
File Size : 45,6 Mb
Release : 1976
Category : Matrix inversion
ISBN : OCLC:174500217

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Generalized Inverses and Applications by M. Zuhair Nashed Pdf

Author : Calyampudi Radhakrishna Rao,Sujit Kumar Mitra
Publisher : John Wiley & Sons
Page : 264 pages
File Size : 45,5 Mb
Release : 1971
Category : Mathematics
ISBN : MINN:31951000012834C

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Generalized Inverse of Matrices and Its Applications by Calyampudi Radhakrishna Rao,Sujit Kumar Mitra Pdf

Notations and preliminaries; Generalized inverse of a matrix; Three basic types of g-inverses; Other special types of g-inverse; Projectors, idempotent matrices and partial isometry; Simulatneous reduction of a pair of herminitian forms; Estimation of parameters in linear models; Conditions for optimality and validity of least-squares theory; Distribution of quadratic forms; Miscellaneous applications of g-inverses; Computational methods; Bibliography on generalized inverses and applications; Index.

Author : Guorong Wang,Yimin Wei,Sanzheng Qiao
Publisher : Springer
Page : 378 pages
File Size : 45,7 Mb
Release : 2019-02-11
Category : Mathematics
ISBN : 9811343403

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Generalized Inverses: Theory and Computations by Guorong Wang,Yimin Wei,Sanzheng Qiao Pdf

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 : Anonim
Publisher : Unknown
Page : 950 pages
File Size : 40,8 Mb
Release : 1966
Category : Mathematics
ISBN : UOM:39015053321553

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Transactions of the Conference of Arsenal Mathematicians by Anonim Pdf

Author : Miroslav Ćirić,Manfred Droste,Jean-Éric Pin
Publisher : Springer
Page : 270 pages
File Size : 50,9 Mb
Release : 2019-06-17
Category : Computers
ISBN : 9783030213633

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Algebraic Informatics by Miroslav Ćirić,Manfred Droste,Jean-Éric Pin Pdf

This book constitutes the refereed proceedings of the 8th International Conference on Algebraic Informatics, CAI 2019, held in Niš, Serbia, in June/July 2019. The 20 revised papers presented were carefully reviewed and selected from 35 submissions. The papers present research at the intersection of theoretical computer science, algebra, and related areas. They report original unpublished research and cover a broad range of topics from automata theory and logic, cryptography and coding theory, computer algebra, design theory, natural and quantum computation, and related areas.

Author : Heinz H. Bauschke,Regina S. Burachik,D. Russell Luke
Publisher : Springer Nature
Page : 489 pages
File Size : 54,7 Mb
Release : 2019-11-06
Category : Mathematics
ISBN : 9783030259396

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Splitting Algorithms, Modern Operator Theory, and Applications by Heinz H. Bauschke,Regina S. Burachik,D. Russell Luke Pdf

This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms. The discussion also focuses on advances in monotone operator theory and other topics from variational analysis and nonsmooth optimization, especially as they pertain to algorithms and concrete, implementable methods. The theory of monotone operators is a central framework for understanding and analyzing splitting algorithms. Topics discussed in the volume were presented at the interdisciplinary workshop titled Splitting Algorithms, Modern Operator Theory, and Applications held in Oaxaca, Mexico in September, 2017. Dedicated to Jonathan M. Borwein, one of the most versatile mathematicians in contemporary history, this compilation brings theory together with applications in novel and insightful ways.