[PDF] Introduction To Matrix Computations eBook

Author : G. W. Stewart
Publisher : Elsevier
Page : 457 pages
File Size : 47,30 MB
Release : 1973-06-15
Category : Mathematics
ISBN : 0080926142

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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 : Thomas F. Coleman
Publisher : SIAM
Page : 271 pages
File Size : 50,45 MB
Release : 1988-01-01
Category : Mathematics
ISBN : 9781611971040

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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 : Åke Björck
Publisher : Springer
Page : 812 pages
File Size : 18,73 MB
Release : 2014-10-07
Category : Mathematics
ISBN : 3319050893

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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 : Stephen Boyd
Publisher : Cambridge University Press
Page : 477 pages
File Size : 30,11 MB
Release : 2018-06-07
Category : Business & Economics
ISBN : 1316518965

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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Author : Gene H. Golub
Publisher : JHU Press
Page : 734 pages
File Size : 26,95 MB
Release : 1996-10-15
Category : Mathematics
ISBN : 9780801854149

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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 : Raf Vandebril
Publisher : JHU Press
Page : 594 pages
File Size : 35,70 MB
Release : 2008-01-14
Category : Mathematics
ISBN : 0801896797

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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 : Dingyü Xue
Publisher : Walter de Gruyter GmbH & Co KG
Page : 223 pages
File Size : 40,87 MB
Release : 2020-03-23
Category : Computers
ISBN : 3110663716

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The book focused on solving linear algebra practical problems with MATLAB. The input and manipulation of matrices are introduced first, followed by the matrix analysis and transformation problem solutions. Matrix equation solutions, matrix function evaluations, and various linear algebra applications are also demonstrated. With extensive exercises, the book sets up a new viewpoint for the readers in understanding linear algebra problems.