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Numerical Methods for Roots of Polynomials - Part I
ID: 174061
JM McNamee
This book (along with volume 2 covers the traditional method of polynomial root-finding such as Newton's, as well as numerous variations on them. Vincent's method, simultaneous iterations , and matrix methods. There are many examples of polynomial Root-finding. book will be invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic.
- First comprehensive treatment of Root-Finding in several decades.
- Gives description of high-grade software.
- Very up-to-date in mid-2006; long chapter on matrix methods.
- Includes Parallel methods, errors where appropriate.
- Invaluable for research or graduate course.
Preface
Contents
Introduction
1. Evaluation, Convergence, Bounds
2. Sturm Sequences and Greatest Common Divisors
3. Real Roots by Continued Fractions
4. Simultaneous Methods
5. Newton's and Related Methods
6. Matrix Models
index
174061
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JM McNamee