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Numerical Methods for Roots of Polynomials - Part I
1st Edition, Volume 14 - June 4, 2007
Author: J.M. McNamee
Language: English
Hardback ISBN:9780444527295
9 7 8 - 0 - 4 4 4 - 5 2 7 2 9 - 5
eBook ISBN:9780080489476
9 7 8 - 0 - 0 8 - 0 4 8 9 4 7 - 6
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 numero…Read more
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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.
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
Academic faculties and libraries, engineering industry
1. Evaluation, Convergence, Bounds2. Sturm Sequences and Greatest Common Divisors3. Real Roots by Continued Fractions4. Simultaneous Methods5. Newton's and Related Methods6. Matrix Models
No. of pages: 354
Language: English
Edition: 1
Volume: 14
Published: June 4, 2007
Imprint: Elsevier Science
Hardback ISBN: 9780444527295
eBook ISBN: 9780080489476
JM
J.M. McNamee
Affiliations and expertise
York University, Toronto, Canada
Read Numerical Methods for Roots of Polynomials - Part I on ScienceDirect