Numerical Methods for Roots of Polynomials - Part I
Numerical Methods for Roots of Polynomials - Part I (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.
1147770084
Numerical Methods for Roots of Polynomials - Part I
Numerical Methods for Roots of Polynomials - Part I (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.
210.0 In Stock
Numerical Methods for Roots of Polynomials - Part I

Numerical Methods for Roots of Polynomials - Part I

by J.M. McNamee
Numerical Methods for Roots of Polynomials - Part I

Numerical Methods for Roots of Polynomials - Part I

by J.M. McNamee

Hardcover

$210.00 
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Overview

Numerical Methods for Roots of Polynomials - Part I (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.

Product Details

ISBN-13: 9780444527295
Publisher: Elsevier Science
Publication date: 08/17/2007
Series: Studies in Computational Mathematics , #14
Pages: 354
Product dimensions: 6.50(w) x 9.45(h) x (d)

Table of Contents

1. Evaluation, Convergence, Bounds2. Sturm Sequences and Greatest Common Divisors3. Real Roots by Continued Fractions4. Simultaneous Methods5. Newton's and Related Methods6. Matrix Models
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