Numerical Linear Algebra and Applications
Published on 1. January 1995
Book
Hardback
750 pages
978-0-534-17466-8 (ISBN)
Description
This text aims to give undergraduate students a grasp of the basic concepts of round-off errors, stability, conditioning, and accuracy as well as an appreciation of the core numerical linear algebra algorithms, their basic properties and implementations. The author draws heavily on applications from electrical, mechanical, and chemical engineering; physics and chemistry; statistics; control theory; and signal and image processing. The two most fundamental concepts of numerical linear algebra (the conditioning of the problem and the stability of an algorithm via backward round-off error analysis) are introduced early in the text with simple, motivating examples.
More details
Language
English
Place of publication
CA
United States
Publishing group
Cengage Learning, Inc
Target group
College/higher education
Illustrations
Illustrations
Dimensions
Height: 248 mm
Width: 171 mm
Weight
1021 gr
ISBN-13
978-0-534-17466-8 (9780534174668)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Content
1. A Review of Some Required Concepts from Core Linear Algebra. 2. Floating Point Numbers and Errors in Computations. 3. Stability of Algorithms and Conditioning of Problems. 4. Numerically Effective Algorithms and Mathematical Software. 5. Some Useful Transformations in Numerical Linear Algebra and Their Applications. 6. Numerical Solutions of Linear Systems. 7. Least Squares Solutions to Linear Systems. 8. Numerical Matrix Eigenvalue Problems. 9. The Generalized Eigenvalue Problem. 10. The Singular Value Decomposition (SVD). 11. A Taste of Round-Off Error Analysis. Appendix A: A Brief Introduction to MATLAB. Appendix B: MATLAB and Selected MATLAB Programs.