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| INTRODUCTION TO MATRIX COMPUTATIONS
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To order this title, and for more information, click here
By
G. Stewart, The University of Texas, Austin
Description
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.
Audience
Undergraduate and graduate students studying mathematics.
Contents
Preliminaries. Practicalities. The Direct Solution of Linear Systems. Norms, Limits, and Condition Numbers. The Linear Least Squares Problem.
Eigenvalues and Eigenvectors. The QR Algorithm. The Greek Alphabet and Latin Notational Correspondents. Determinants. Rounding-Error
Analysis of Solution of Triangular Systems and of Gaussian Elimination. Of Things Not Treated. Bibliography. Index.
| Bibliographic details |
Hardbound, 441 pages, publication date: MAY-1973
ISBN-13: 978-0-12-670350-4
ISBN-10: 0-12-670350-7
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
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USD 117
GBP 81
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Last update: 7 Sep 2009
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