Numerical Methods for Roots of Polynomials - Part I, 1st Edition,J.M. McNamee,ISBN9780444527295
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Volume 14: Numerical Methods for Roots of Polynomials - Part I, 1st Edition

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Imprint: Elsevier Science

ISBN: 9780444527295

Pages: 354

Dimensions: 240 X 165

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Description

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.

Readership

academic faculties and libraries, engineering industry

J.M. McNamee

Affiliations and Expertise

York University, Toronto, Canada

  • Numerical Methods for Roots of Polynomials - Part II, 1st Edition

     
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    Author: J.M. McNamee
    Expected Release Date: 12 Jun 2013
  • Numerical Methods for Roots of Polynomials - Part II, 1st Edition

     
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    USD 175.00 USD 87.50
    Author: J.M. McNamee
    Expected Release Date: 12 Jun 2013

Numerical Methods for Roots of Polynomials - Part I, 1st Edition

Preface

Contents

Introduction

1. Evaluation, Convergence, Bounds

2. Sturm Sequences and Greatest Common Divisors

3. Real Roots by Continued Fractions

4. Simultaneous Methods

5. Newton's and Related Methods

6. Matrix Models

Index

Quotes and reviews

"[A] very interesting book to read. It is clearly written and contains numerous examples that make the results presented in the book clearer. The book also contains many pointers to efficient programs, software and libraries to compute roots of polynomials."--Mathematical Reviews

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Numerical Methods for Roots of Polynomials - Part I
 

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