Generalized Inverses Of Linear Transformations
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Generalized Inverses Of Linear Transformations
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Author : Stephen L. Campbell
language : en
Publisher: SIAM
Release Date : 2009-01-01
Generalized Inverses Of Linear Transformations written by Stephen L. Campbell and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Mathematics categories.
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.
Generalized Inverses
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Author : Adi Ben-Israel
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-18
Generalized Inverses written by Adi Ben-Israel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-18 with Mathematics categories.
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.
Recent Applications Of Generalized Inverses
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Author : Stephen La Vern Campbell
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1982
Recent Applications Of Generalized Inverses written by Stephen La Vern Campbell and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
This collection of original papers shows the variety of current research into generalized inverses of linear transformations and their applications. The papers are grouped in sections, covering topics which include systems theory, operator theory, numerical methods, applications to Markov chains, and interpolation theory.
Generalized Inverses And Applications
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Author : M. Zuhair Nashed
language : en
Publisher: Elsevier
Release Date : 2014-05-10
Generalized Inverses And Applications written by M. Zuhair Nashed and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.
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.
Projection Matrices Generalized Inverse Matrices And Singular Value Decomposition
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Author : Haruo Yanai
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-06
Projection Matrices Generalized Inverse Matrices And Singular Value Decomposition written by Haruo Yanai and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-06 with Mathematics categories.
Aside from distribution theory, projections and the singular value decomposition (SVD) are the two most important concepts for understanding the basic mechanism of multivariate analysis. The former underlies the least squares estimation in regression analysis, which is essentially a projection of one subspace onto another, and the latter underlies principal component analysis, which seeks to find a subspace that captures the largest variability in the original space. This book is about projections and SVD. A thorough discussion of generalized inverse (g-inverse) matrices is also given because it is closely related to the former. The book provides systematic and in-depth accounts of these concepts from a unified viewpoint of linear transformations finite dimensional vector spaces. More specially, it shows that projection matrices (projectors) and g-inverse matrices can be defined in various ways so that a vector space is decomposed into a direct-sum of (disjoint) subspaces. Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition will be useful for researchers, practitioners, and students in applied mathematics, statistics, engineering, behaviormetrics, and other fields.
Generalized Inverses Theory And Computations
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Author : Guorong Wang
language : en
Publisher: Springer
Release Date : 2018-05-12
Generalized Inverses Theory And Computations written by Guorong Wang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-12 with Mathematics categories.
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 Inverse Of Matrices And Its Applications
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Author : Calyampudi Radhakrishna Rao
language : en
Publisher: John Wiley & Sons
Release Date : 1971
Generalized Inverse Of Matrices And Its Applications written by Calyampudi Radhakrishna Rao and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mathematics categories.
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.
Algebraic Theory Of Generalized Inverses
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Author : Jianlong Chen
language : en
Publisher: Springer Nature
Release Date :
Algebraic Theory Of Generalized Inverses written by Jianlong Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Generalized Inverses Of Linear Operators
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Author : C. W. Groetsch
language : en
Publisher: CRC Press
Release Date : 1977-04-01
Generalized Inverses Of Linear Operators written by C. W. Groetsch and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-04-01 with Mathematics categories.
Generalized Inverse Matrices
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Author : T. L. Boullion
language : en
Publisher: Wiley-Interscience
Release Date : 1971-07-02
Generalized Inverse Matrices written by T. L. Boullion and has been published by Wiley-Interscience this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-07-02 with Mathematics categories.
Definitions and fundamental properties; Pseudoinverses of sums and products; Generalized inverses with spectral properties; Special topics; Special topics; Solving systems of linear equations; Applications; Appendices; Index.