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Numerical methods for roots of polynomials

Record Type:	Electronic resources : Monograph/item
Title/Author:	Numerical methods for roots of polynomials/ J.M. McNamee.
Author:	McNamee, J. M.{me_controlnum}
Published:	Amsterdam ;Elsevier, : 2007.,
Description:	1 online resource (2 v.)
[NT 15003449]:	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 .
Subject:	Polynomials. -
Online resource:	http://www.sciencedirect.com/science/book/9780444527295
Online resource:	http://www.sciencedirect.com/science/publication?issn=1570579X&volume=14v. 1. Full text
ISBN:	9780444527295

Numerical methods for roots of polynomials
McNamee, J. M.{me_controlnum}

Numerical methods for roots of polynomials[electronic resource] /J.M. McNamee. - Amsterdam ;Elsevier,2007. - 1 online resource (2 v.) - Studies in computational mathematics,141570-579X ;. - Studies in computational mathematics ;14..

Includes bibliographical references and index.

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<P>.

This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newtons, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincents 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. - Gives description of high-grade software and where it can be down-loaded. - Very up-to-date in mid-2006; long chapter on matrix methods. - Includes Parallel methods, errors where appropriate. - Invaluable for research or graduate course.

ISBN: 9780444527295

Source: 132483:132603Elsevier Science & Technologyhttp://www.sciencedirect.com

Nat. Bib. Agency Control No.: 013650492UkSubjects--Topical Terms:

604754
Polynomials.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA161.P59 / M36 2007

Dewey Class. No.: 512.9422

Numerical methods for roots of polynomials
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504 $a Includes bibliographical references and index.
505 0 $a 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<P>.
520 $a This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newtons, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincents 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. - Gives description of high-grade software and where it can be down-loaded. - Very up-to-date in mid-2006; long chapter on matrix methods. - Includes Parallel methods, errors where appropriate. - Invaluable for research or graduate course.
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