Numerical Methods for Roots of Polynomials - Part IIBy
- J.M. McNamee
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.
Academic faculty and libraries
Hardbound, 728 Pages
Published: July 2013
"In this second of two parts, McNamee and Pan describe methods that are mostly numerical, or iterative, though they do devote one chapter to analytic methods for polynomials of degree up to five. Readers only need knowledge of polynomials at the senior high-school level, they say, but should have completed at least undergraduate courses in calculus and linear algebra."-- Reference & Research Book News,October 2013
- VOLUME 2Chapter 7. Interpolation Methods.Chapter 8. Graeffe's and Integral Methods.Chapter 9. Methods Involving Derivatives Higher than First.Chapter 10. Existence, Solution by Radicals.VOLUME 3.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.INDEX