Numerical Methods for Roots of Polynomials

Part 1
Erscheinungsjahr 2007
ISBN: 978-0-444-52729-5
Verlag: Elsevier BV

Buch, Englisch, 354 Seiten, Format (B × H): 164 mm x 245 mm, Gewicht: 647 g

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.

Zielgruppe

academic faculties and libraries, engineering industry

Autoren/Hrsg.

McNamee, J.M.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Mathematische Analysis Moderne Anwendungen der Analysis

Inhaltsverzeichnis

1. Evaluation, Convergence, Bounds2. Sturm Sequences and Greatest Common Divisors3. Real Roots by Continued Fractions4. Simultaneous Methods5. Newton's and Related Methods6. Matrix Models