
Introduction to Matrix Computations
1st Edition
Secure Checkout
Personal information is secured with SSL technology.Free Shipping
Free global shippingNo minimum order.
Table of 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.
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.
Readership
Undergraduate and graduate students studying mathematics.
Details
- No. of pages:
- 441
- Language:
- English
- Copyright:
- © Academic Press 1973
- Published:
- 15th June 1973
- Imprint:
- Academic Press
- Hardcover ISBN:
- 9780126703504
- eBook ISBN:
- 9780080926148
Reviews
@qu:"The material presented here bridges the gap between the usual treatment of abstract vector spaces and the matrix theory with which a modern numerical analyst must be familiar in a way that should meet with widespread approval. Few books on numerical analysis have given me as much satisfaction as did this. It has perfect balance in an age where this quality is becoming increasingly rare." @source:--James H. Wilkinson
Ratings and Reviews
About the Author
G. Stewart
Affiliations and Expertise
The University of Texas, Austin
Request Quote
Tax Exemption
Elsevier.com visitor survey
We are always looking for ways to improve customer experience on Elsevier.com.
We would like to ask you for a moment of your time to fill in a short questionnaire, at the end of your visit.
If you decide to participate, a new browser tab will open so you can complete the survey after you have completed your visit to this website.
Thanks in advance for your time.