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ISBN: 008093143X 0444527303 9780080931432 1299592457 9781299592452 9780444527301 Year: 2013 Publisher: Waltham, Mass. : Academic Press,
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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. First comprehensive treatment of Root-
Equations, Roots of. --- Polynomials -- Mathematical models. --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Polynomials --- Mathematical models. --- Mathematical models --- Roots of equations
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ISBN: 9780080931432 008093143X 1299592457 9781299592452 Year: 2013 Publisher: London Elsevier Science
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This book (along with vol. 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. First comprehensive treatment of Root-Finding in several decades with a description of high-grade software and where it can be downloadedOffers a long chapter on matrix methods and includes Parallel methods and errors where appropriateProves invaluable for research or graduate course.
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