Numerical Methods for Roots of Polynomials - Part II along with Part I (9780444527295) covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub. It includes many other methods and topics as well and has a chapter devoted to certain modern virtually optimal methods. Additionally, there are pointers to robust and efficient programs. This book is 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 with a description of high-grade software and where it can be downloaded
- Offers a long chapter on matrix methods and includes Parallel methods and errors where appropriate
- Proves invaluable for research or graduate course
Chapter 7. Interpolation Methods.
Chapter 8. Graeffe's and Integral Methods.
Chapter 9. Methods Involving Derivatives Higher than First.
Chapter 10. Existence, Solution by Radicals.
Chapter 11. Bernoulli, QD, and Bairstow Methods.
Chapter 12. Jenkins-Traub and Minimization Methods.
Chapter 13. Low-degree, N'th roots.
Chapter 14. Splitting Methods.
Chapter 15. Miscellaneous.