Keywords:
Equations, Roots of
;
Polynomials
;
Polynomials
;
Equations, Roots of
;
Polynomials
;
Equations, Roots of
;
Electronic books
;
Electronic books
;
Polynomlösung
;
Polynom
;
Numerisches Verfahren
Description / Table of Contents:
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
Type of Medium:
Online Resource
Pages:
Online Ressource (2 volumes)
Edition:
Online-Ausg. 2007 Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
ISBN:
9780444527295
,
044452729X
,
0080489478
,
9780080489476
Series Statement:
Studies in computational mathematics 1570-579X 14
URL:
http://www.sciencedirect.com/science/book/9780444527295
URL:
http://www.sciencedirect.com/science/bookseries/1570579X/14
URL:
https://www.sciencedirect.com/science/bookseries/1570579X/14
URL:
https://www.sciencedirect.com/science/book/9780444527295
URL:
https://zbmath.org/?q=an:1143.65002
URL:
http://www.gbv.de/dms/bowker/toc/9780444527295.pdf
Language:
English
Note:
Includes bibliographical references and index. - Print version record
,
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
,
Electronic reproduction; Mode of access: World Wide Web
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