Computational Matrix Analysis
Computational Matrix Analysis
This text provides an introduction to numerical linear algebra together with its application to solving problems arising in state-space control and systems theory. The book provides a number of elements designed to help the reader learn to use numerical linear algebra in day-to-day computing or research, including a brief review of matrix analysis and an introduction to finite (IEEE) arithmetic, alongside discussion of mathematical software topics. In addition to the fundamental concepts, the text covers statistical condition estimation and gives an overview of certain computational problems in control and systems theory. Engineers and scientists will find this text valuable as a theoretical resource to complement their work in algorithms. For graduate students beginning their study, or advanced undergraduates, this text is ideal as a one-semester course in numerical linear algebra and is a natural follow-on to the author's previous book, Matrix Analysis for Scientists and Engineers.
- A one-semester introduction to numerical linear algebra
- An introduction to statistical condition estimation in book form for the first time
- An overview of certain computational problems in control and systems theory
Product details
No date availablePaperback
9781611972207
170 pages
254 × 10 × 4 mm
1.77kg
Table of Contents
- Preface
- 1. Preliminaries and notation
- 2. Introduction to finite arithmetic
- 3. Conditioning and numerical stability
- 4. Introduction to rounding analysis
- 5. Numerical matrix algebra
- 6. Gaussian elimination
- 7. Solving linear systems
- 8. Linear least squares problems
- 9. Computing eigenvalues and eigenvectors
- 10. Other QR-type algorithms
- 11. Applications
- Bibliography
- Index.
