國立高雄大學圖資館 |

Language: English

Back

Numerical methods for roots of polynomials

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

Numerical methods for roots of polynomials
McNamee, J. M.

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:

184760
Polynomials.
Index Terms--Genre/Form:

214472
Electronic books.

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

Dewey Class. No.: 512.9422

Numerical methods for roots of polynomials
LDR:03008cmm 2200433Ia 4500 001 354317
005 20120813080211.0
006 m d
007 cr cn|||||||||
008 130104s2007 ne ob 001 0 eng d
016 7 $a 013650492 $2 Uk
019 $a 441808046 $a 779920607
020 $a 9780444527295
020 $a 044452729X
020 $a 9786611052386
020 $a 6611052380
020 $a 0080489478 (electronic bk.)
020 $a 9780080489476 (electronic bk.)
029 1 $a NZ1 $b 11778281
029 1 $a AU@ $b 000048129397
029 1 $a DEBBG $b BV039834061
035 $a ocn162131396
037 $a 132483:132603 $b Elsevier Science & Technology $n http://www.sciencedirect.com
040 $a OPELS $b eng $c OPELS $d BAKER $d OPELS $d OCLCQ $d MERUC $d IDEBK $d TULIB $d OCLCO
049 $a NTYA
050 4 $a QA161.P59 $b M36 2007
082 0 4 $a 512.9422 $2 22
100 1 $a McNamee, J. M. $3 586293
245 1 0 $a Numerical methods for roots of polynomials $h [electronic resource] / $c J.M. McNamee.
260 $a Amsterdam ; $a London : $b Elsevier, $c 2007.
300 $a 1 online resource (2 v.)
490 1 $a Studies in computational mathematics, $x 1570-579X ; $v 14
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.
588 $a Description based on print version record.
650 0 $a Polynomials. $3 184760
650 0 $a Equations, Roots of. $3 586295
655 4 $a Electronic books. $2 local. $3 214472
776 0 8 $i Print version: $a McNamee, J. M. $t Numerical methods for roots of polynomials. $d Amsterdam ; London : Elsevier, 2007 $z 9780444527295 $z 044452729X $w (OCoLC)80331922
830 0 $a Studies in computational mathematics ; $v 14. $x 1570-579X $3 586294
856 4 0 $3 ScienceDirect $u http://www.sciencedirect.com/science/book/9780444527295
856 $z v. 1. Full text $u http://www.sciencedirect.com/science/publication?issn=1570579X&volume=14
938 $a Baker & Taylor $b BKTY $c 160.00 $d 160.00 $i 044452729X $n 0007189072 $s active
938 $a Ingram Digital eBook Collection $b IDEB $n 105238