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Theory And Application Of Generalized Inverses Of Matrices
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Book Synopsis Generalized Inverses by : Adi Ben-Israel
Download or read book Generalized Inverses written by Adi Ben-Israel and published by Springer Science & Business Media. This book was released on 2006-04-18 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Generalized Inverse of Matrices and Its Applications by : Calyampudi Radhakrishna Rao
Download or read book Generalized Inverse of Matrices and Its Applications written by Calyampudi Radhakrishna Rao and published by John Wiley & Sons. This book was released on 1971 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Theory of Generalized Inverses Over Commutative Rings by : K.P.S. Bhaskara Rao
Download or read book Theory of Generalized Inverses Over Commutative Rings written by K.P.S. Bhaskara Rao and published by CRC Press. This book was released on 2002-03-21 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Generalized Inverses: Theory and Computations by : Guorong Wang
Download or read book Generalized Inverses: Theory and Computations written by Guorong Wang and published by Springer. This book was released on 2018-05-12 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Generalized Inverses of Linear Transformations by : Stephen L. Campbell
Download or read book Generalized Inverses of Linear Transformations written by Stephen L. Campbell and published by SIAM. This book was released on 2009-03-26 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides comprehensive coverage of the mathematical theory of generalized inverses and a wide range of important and practical applications.
Book Synopsis Generalized Inverses and Applications by : M. Zuhair Nashed
Download or read book Generalized Inverses and Applications written by M. Zuhair Nashed and published by Elsevier. This book was released on 2014-05-10 with total page 1069 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :Symposium on Theory and Application of Generalized Inverses of Matrices, Texas Technological College Publisher : ISBN 13 : Total Pages :315 pages Book Rating :4.:/5 (933 download)
Book Synopsis Theory and Application of Generalized Inverses of Matrices by : Symposium on Theory and Application of Generalized Inverses of Matrices, Texas Technological College
Download or read book Theory and Application of Generalized Inverses of Matrices written by Symposium on Theory and Application of Generalized Inverses of Matrices, Texas Technological College and published by . This book was released on 1968 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Matrix Theory written by Robert Piziak and published by CRC Press. This book was released on 2007-02-22 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1990, the National Science Foundation recommended that every college mathematics curriculum should include a second course in linear algebra. In answer to this recommendation, Matrix Theory: From Generalized Inverses to Jordan Form provides the material for a second semester of linear algebra that probes introductory linear algebra concepts while also exploring topics not typically covered in a sophomore-level class. Tailoring the material to advanced undergraduate and beginning graduate students, the authors offer instructors flexibility in choosing topics from the book. The text first focuses on the central problem of linear algebra: solving systems of linear equations. It then discusses LU factorization, derives Sylvester's rank formula, introduces full-rank factorization, and describes generalized inverses. After discussions on norms, QR factorization, and orthogonality, the authors prove the important spectral theorem. They also highlight the primary decomposition theorem, Schur's triangularization theorem, singular value decomposition, and the Jordan canonical form theorem. The book concludes with a chapter on multilinear algebra. With this classroom-tested text students can delve into elementary linear algebra ideas at a deeper level and prepare for further study in matrix theory and abstract algebra.
Book Synopsis Theory and Application of Generalized Inverses of Matrices by : Thomas L. Boullion
Download or read book Theory and Application of Generalized Inverses of Matrices written by Thomas L. Boullion and published by . This book was released on 1969 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Generalized Inverses of Linear Transformations by : Stephen L. Campbell
Download or read book Generalized Inverses of Linear Transformations written by Stephen L. Campbell and published by SIAM. This book was released on 2009-01-01 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :Symposium on Theory and Application of Generalized Inverses of Matrices, Lubbock, Texas, 1968 Publisher : ISBN 13 : Total Pages :315 pages Book Rating :4.:/5 (636 download)
Book Synopsis Theory and application of generalized inverses of matrices by : Symposium on Theory and Application of Generalized Inverses of Matrices, Lubbock, Texas, 1968
Download or read book Theory and application of generalized inverses of matrices written by Symposium on Theory and Application of Generalized Inverses of Matrices, Lubbock, Texas, 1968 and published by . This book was released on 1968* with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition by : Haruo Yanai
Download or read book Projection Matrices, Generalized Inverse Matrices, and Singular Value Decomposition written by Haruo Yanai and published by Springer Science & Business Media. This book was released on 2011-04-06 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elements of the Theory of Generalized Inverses of Matrices by : R.E. Cline
Download or read book Elements of the Theory of Generalized Inverses of Matrices written by R.E. Cline and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this monograph is to provide a concise introduction to the theory of generalized inverses of matrices that is accessible to undergraduate mathematics majors. Although results from this active area of research have appeared in a number of excellent graduate level text books since 1971, material for use at the undergraduate level remains fragmented. The basic ideas are so fundamental, however, that they can be used to unify various topics that an undergraduate has seen but perhaps not related. Material in this monograph was first assembled by the author as lecture notes for the senior seminar in mathematics at the University of Tennessee. In this seminar one meeting per week was for a lecture on the subject matter, and another meeting was to permit students to present solutions to exercises. Two major problems were encountered the first quarter the seminar was given. These were that some of the students had had only the required one-quarter course in matrix theory and were not sufficiently familiar with eigenvalues, eigenvectors and related concepts, and that many -v- of the exercises required fortitude. At the suggestion of the UMAP Editor, the approach in the present monograph is (1) to develop the material in terms of full rank factoriza tions and to relegate all discussions using eigenvalues and eigenvectors to exercises, and (2) to include an appendix of hints for exercises.
Book Synopsis Theory and Application of Generalized Inverses of Matrices by : T.L. Boullion
Download or read book Theory and Application of Generalized Inverses of Matrices written by T.L. Boullion and published by . This book was released on 1971 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Combinatorial Matrix Theory and Generalized Inverses of Matrices by : Ravindra B. Bapat
Download or read book Combinatorial Matrix Theory and Generalized Inverses of Matrices written by Ravindra B. Bapat and published by Springer Science & Business Media. This book was released on 2013-02-11 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Optimization and Design of Geodetic Networks by : Erik W. Grafarend
Download or read book Optimization and Design of Geodetic Networks written by Erik W. Grafarend and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 621 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the period April 25th to May 10th, 1984 the 3rd Course of the International School of Advanced Geodesy entitled "Optimization and Design of Geodetic Networks" took place in Erice. The main subject of the course is clear from the title and consisted mainly of that particular branch of network analysis, which results from applying general concepts of mathematical optimization to the design of geodetic networks. As al ways when dealing with optimization problems, there is an a-priori choice of the risk (or gain) function which should be minimized (or maximized) according to the specific interest of the "designer", which might be either of a scientific or of an economic nature or even of both. These aspects have been reviewed in an intro ductory lecture in which the particular needs arising in a geodetic context and their analytical representations are examined. Subsequently the main body of the optimization problem, which has been conven tionally divided into zero, first, second and third order design problems, is presented. The zero order design deals with the estimability problem, in other words with the definition of which parameters are estimable from a given set of observa tions. The problem results from the fact that coordinates of points are not univocally determined from the observations of relative quantities such as angles and distances, whence a problem of the optimal choice of a reference system, the so-called "datum problem" arises.
Download or read book Matrices written by Denis Serre and published by Springer Science & Business Media. This book was released on 2010-10-26 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon.
