Abstract

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

"...a well-written handbook of numerical methods for polynomial root-solving...covers most of the traditional methods for root-finding...as well as a great many invented in the last few decades of the 20th and early 21st centuries."--MathSciNet, Numerical Methods for Roots of Polynomials - Part II

"This book comprehensively covers traditional and latest methods on the calculation of roots of polynomials. The readers will benefit from this book greatly since these numerical methods in this book are accurate practical and have wide applications in control theory, information processing, statistics, etc. This book is well-written and accessible…"--Zentralblatt MATH, 1279.65053 "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