Numerical Methods for Roots of Polynomials - Part I
This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newtonâs, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincentâs 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 âA Handbook of Methods for Polynomial Root-findingâ. This book will be invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic.
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