This class-tested text is appropriate for both undergraduate and beginning graduate courses, as well as for use by working scientists and engineers as a self-study tool and reference. A number of special, user-friendly features make it possible for readers to develop a firm grasp of the concepts of roundoff errors, stability, condition, and accuracy, as well as to develop an appreciation for the core algorithms, their usefulness, and implementations.
Addition of n FloatingPoint Numbers
Roundoff Errors Due to Cancellation and Recursive Computations
Principal Components Analysis
Computing Selected Eigenvalues and Eigenvectors
The Lanczos Algorithm for Symmetric Matrices
Suggestions for Further Reading
Definitions and Concepts of Stability
CHAPTER FOUR
CHAPTER FIVE
Direct Methods
Review and Summary
Suggestions for Further Reading
Suggestions for Further Reading
Examples of Some Simple MATLAB Programs
MATCOM and Selected MATLAB Programs
APPENDIX C
Partial Solutions and Answers to Some Selected Problems