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Matrix Algorithms Volume 1: Basic Decompositions
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Type.................: Ebook
Part Size............: 23,197,661 bytes
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Release Notes
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This thorough, concise, and superbly written 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.
Table Of Contents
Table of Contents
Algorithms
Notation
Preface
Chapter 1: Matrices, Algebra, and Analysis
Chapter 2: Matrices and Machines
Chapter 3: Gaussian Elimination
Chapter 4: The QR Decomposition and Least Squares
Chapter 5: Rank-Reducing Decompositions.
References
Index
Product Details
* ISBN: 0898714141
* ISBN-13: 9780898714142
* Format: Textbook Paperback, 458pp
* Publisher: SIAM
* Pub. Date: December 1998
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