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Author : Gene Howard Golub
Publisher :
ISBN 13 : 9780946536054
Total Pages : 476 pages
Book Rating : 4.5/5 (36 download)
Download or read book Matrix Computations written by Gene Howard Golub and published by . This book was released on 1983 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gene Howard Golub
Publisher :
ISBN 13 :
Total Pages : 694 pages
Book Rating : 4.:/5 (464 download)
Download or read book Matrix Computations written by Gene Howard Golub and published by . This book was released on 1983 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gene Howard Golub
Publisher :
ISBN 13 : 9780801830112
Total Pages : 476 pages
Book Rating : 4.8/5 (31 download)
Download or read book Matrix Computations written by Gene Howard Golub and published by . This book was released on 1983 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gene H. Golub
Publisher : JHU Press
ISBN 13 : 9780801854149
Total Pages : 734 pages
Book Rating : 4.8/5 (541 download)
Download or read book Matrix Computations written by Gene H. Golub and published by JHU Press. This book was released on 1996-10-15 with total page 734 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated, the third edition of Golub and Van Loan's classic text in computer science provides essential information about the mathematical background and algorithmic skills required for the production of numerical software. This new edition includes thoroughly revised chapters on matrix multiplication problems and parallel matrix computations, expanded treatment of CS decomposition, an updated overview of floating point arithmetic, a more accurate rendition of the modified Gram-Schmidt process, and new material devoted to GMRES, QMR, and other methods designed to handle the sparse unsymmetric linear system problem.
Author : Åke Björck
Publisher : Springer
ISBN 13 : 3319050893
Total Pages : 812 pages
Book Rating : 4.3/5 (19 download)
Download or read book Numerical Methods in Matrix Computations written by Åke Björck and published by Springer. This book was released on 2014-10-07 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix algorithms are at the core of scientific computing and are indispensable tools in most applications in engineering. This book offers a comprehensive and up-to-date treatment of modern methods in matrix computation. It uses a unified approach to direct and iterative methods for linear systems, least squares and eigenvalue problems. A thorough analysis of the stability, accuracy, and complexity of the treated methods is given. Numerical Methods in Matrix Computations is suitable for use in courses on scientific computing and applied technical areas at advanced undergraduate and graduate level. A large bibliography is provided, which includes both historical and review papers as well as recent research papers. This makes the book useful also as a reference and guide to further study and research work.
Author : K. Gallivan
Publisher : SIAM
ISBN 13 : 9781611971705
Total Pages : 207 pages
Book Rating : 4.9/5 (717 download)
Download or read book Parallel Algorithms for Matrix Computations written by K. Gallivan and published by SIAM. This book was released on 1990-01-01 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describes a selection of important parallel algorithms for matrix computations. Reviews the current status and provides an overall perspective of parallel algorithms for solving problems arising in the major areas of numerical linear algebra, including (1) direct solution of dense, structured, or sparse linear systems, (2) dense or structured least squares computations, (3) dense or structured eigenvaluen and singular value computations, and (4) rapid elliptic solvers. The book emphasizes computational primitives whose efficient execution on parallel and vector computers is essential to obtain high performance algorithms. Consists of two comprehensive survey papers on important parallel algorithms for solving problems arising in the major areas of numerical linear algebra--direct solution of linear systems, least squares computations, eigenvalue and singular value computations, and rapid elliptic solvers, plus an extensive up-to-date bibliography (2,000 items) on related research.
Author : Thomas F. Coleman
Publisher : SIAM
ISBN 13 : 9781611971040
Total Pages : 271 pages
Book Rating : 4.9/5 (71 download)
Download or read book Handbook for Matrix Computations written by Thomas F. Coleman and published by SIAM. This book was released on 1988-01-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the user with a step-by-step introduction to Fortran 77, BLAS, LINPACK, and MATLAB. It is a reference that spans several levels of practical matrix computations with a strong emphasis on examples and "hands on" experience.
Author : James E. Gentle
Publisher : Springer Science & Business Media
ISBN 13 : 0387708723
Total Pages : 536 pages
Book Rating : 4.3/5 (877 download)
Download or read book Matrix Algebra written by James E. Gentle and published by Springer Science & Business Media. This book was released on 2007-07-27 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix algebra is one of the most important areas of mathematics for data analysis and for statistical theory. This much-needed work presents the relevant aspects of the theory of matrix algebra for applications in statistics. It moves on to consider the various types of matrices encountered in statistics, such as projection matrices and positive definite matrices, and describes the special properties of those matrices. Finally, it covers numerical linear algebra, beginning with a discussion of the basics of numerical computations, and following up with accurate and efficient algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors.
Author : Raf Vandebril
Publisher : JHU Press
ISBN 13 : 0801896797
Total Pages : 594 pages
Book Rating : 4.8/5 (18 download)
Download or read book Matrix Computations and Semiseparable Matrices written by Raf Vandebril and published by JHU Press. This book was released on 2008-01-14 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.
Author : Zhong-Zhi Bai
Publisher : SIAM
ISBN 13 : 1611976634
Total Pages : 496 pages
Book Rating : 4.6/5 (119 download)
Download or read book Matrix Analysis and Computations written by Zhong-Zhi Bai and published by SIAM. This book was released on 2021-09-09 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive book is presented in two parts; the first part introduces the basics of matrix analysis necessary for matrix computations, and the second part presents representative methods and the corresponding theories in matrix computations. Among the key features of the book are the extensive exercises at the end of each chapter. Matrix Analysis and Computations provides readers with the matrix theory necessary for matrix computations, especially for direct and iterative methods for solving systems of linear equations. It includes systematic methods and rigorous theory on matrix splitting iteration methods and Krylov subspace iteration methods, as well as current results on preconditioning and iterative methods for solving standard and generalized saddle-point linear systems. This book can be used as a textbook for graduate students as well as a self-study tool and reference for researchers and engineers interested in matrix analysis and matrix computations. It is appropriate for courses in numerical analysis, numerical optimization, data science, and approximation theory, among other topics
Author : Gene H. Golub
Publisher : JHU Press
ISBN 13 : 1421407949
Total Pages : 781 pages
Book Rating : 4.4/5 (214 download)
Download or read book Matrix Computations written by Gene H. Golub and published by JHU Press. This book was released on 2013-02-15 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition provides the mathematical background and algorithmic skills required for the production of numerical software. It includes rewritten and clarified proofs and derivations, as well as new topics such as Arnoldi iteration, and domain decomposition methods.
Author : G. W. Stewart
Publisher : Elsevier
ISBN 13 : 0080926142
Total Pages : 457 pages
Book Rating : 4.0/5 (89 download)
Download or read book Introduction to Matrix Computations written by G. W. Stewart and published by Elsevier. This book was released on 1973-06-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical linear algebra is far too broad a subject to treat in a single introductory volume. Stewart has chosen to treat algorithms for solving linear systems, linear least squares problems, and eigenvalue problems involving matrices whose elements can all be contained in the high-speed storage of a computer. By way of theory, the author has chosen to discuss the theory of norms and perturbation theory for linear systems and for the algebraic eigenvalue problem. These choices exclude, among other things, the solution of large sparse linear systems by direct and iterative methods, linear programming, and the useful Perron-Frobenious theory and its extensions. However, a person who has fully mastered the material in this book should be well prepared for independent study in other areas of numerical linear algebra.
Author : Alan George
Publisher : Springer Science & Business Media
ISBN 13 : 1461383692
Total Pages : 254 pages
Book Rating : 4.4/5 (613 download)
Download or read book Graph Theory and Sparse Matrix Computation written by Alan George and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: When reality is modeled by computation, matrices are often the connection between the continuous physical world and the finite algorithmic one. Usually, the more detailed the model, the bigger the matrix, the better the answer, however, efficiency demands that every possible advantage be exploited. The articles in this volume are based on recent research on sparse matrix computations. This volume looks at graph theory as it connects to linear algebra, parallel computing, data structures, geometry, and both numerical and discrete algorithms. The articles are grouped into three general categories: graph models of symmetric matrices and factorizations, graph models of algorithms on nonsymmetric matrices, and parallel sparse matrix algorithms. This book will be a resource for the researcher or advanced student of either graphs or sparse matrices; it will be useful to mathematicians, numerical analysts and theoretical computer scientists alike.
Author : Alan Jennings
Publisher :
ISBN 13 :
Total Pages : 427 pages
Book Rating : 4.:/5 (762 download)
Download or read book Matrix Computation for Engineers and Scientists written by Alan Jennings and published by . This book was released on 1992 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dario Bini
Publisher : Springer Science & Business Media
ISBN 13 : 1461202655
Total Pages : 433 pages
Book Rating : 4.4/5 (612 download)
Download or read book Polynomial and Matrix Computations written by Dario Bini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our Subjects and Objectives. This book is about algebraic and symbolic computation and numerical computing (with matrices and polynomials). It greatly extends the study of these topics presented in the celebrated books of the seventies, [AHU] and [BM] (these topics have been under-represented in [CLR], which is a highly successful extension and updating of [AHU] otherwise). Compared to [AHU] and [BM] our volume adds extensive material on parallel com putations with general matrices and polynomials, on the bit-complexity of arithmetic computations (including some recent techniques of data compres sion and the study of numerical approximation properties of polynomial and matrix algorithms), and on computations with Toeplitz matrices and other dense structured matrices. The latter subject should attract people working in numerous areas of application (in particular, coding, signal processing, control, algebraic computing and partial differential equations). The au thors' teaching experience at the Graduate Center of the City University of New York and at the University of Pisa suggests that the book may serve as a text for advanced graduate students in mathematics and computer science who have some knowledge of algorithm design and wish to enter the exciting area of algebraic and numerical computing. The potential readership may also include algorithm and software designers and researchers specializing in the design and analysis of algorithms, computational complexity, alge braic and symbolic computing, and numerical computation.
Author : Dingyü Xue
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110663716
Total Pages : 361 pages
Book Rating : 4.1/5 (16 download)
Download or read book Linear Algebra and Matrix Computations with MATLAB® written by Dingyü Xue and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-03-23 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses the solutions of linear algebra and matrix analysis problems, with the exclusive use of MATLAB. The topics include representations, fundamental analysis, transformations of matrices, matrix equation solutions as well as matrix functions. Attempts on matrix and linear algebra applications are also explored.
Author : G. W. Stewart
Publisher : SIAM
ISBN 13 : 0898714141
Total Pages : 476 pages
Book Rating : 4.8/5 (987 download)
Download or read book Matrix Algorithms written by G. W. Stewart and published by SIAM. This book was released on 1998-08-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first in a self-contained five-volume series devoted to matrix algorithms. It focuses on the computation of matrix decompositions--that is, the factorization of matrices into products of similar ones. The first two chapters provide the required background from mathematics and computer science needed to work effectively in matrix computations. The remaining chapters are devoted to the LU and QR decompositions--their computation and applications. The singular value decomposition is also treated, although algorithms for its computation will appear in the second volume of the series. The present volume contains 65 algorithms formally presented in pseudocode. Other volumes in the series will treat eigensystems, iterative methods, sparse matrices, and structured problems. The series is aimed at the nonspecialist who needs more than black-box proficiency with matrix computations. To give the series focus, the emphasis is on algorithms, their derivation, and their analysis. The reader is assumed to have a knowledge of elementary analysis and linear algebra and a reasonable amount of programming experience, typically that of the beginning graduate engineer or the undergraduate in an honors program. Strictly speaking, the individual volumes are not textbooks, although they are intended to teach, the guiding principle being that if something is worth explaining, it is worth explaining fully. This has necessarily restricted the scope of the series, but the selection of topics should give the reader a sound basis for further study.
