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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.
This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newton s, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincent s method, simultaneous iterations, and matrix methods. There is an extensive chapter on evaluation of polynomials, including parallel methods and errors. There are pointers to robust and efficient programs. In short, it could be entitled A Handbook of Methods for Polynomial Root-finding . This book will be invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic.
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