eBook Numerical Methods for Roots of Polynomials: Part II, 1st Edition

  • Volume 2
  • Published By:
  • ISBN-10: 008093143X
  • ISBN-13: 9780080931432
  • DDC: 512.9422
  • Grade Level Range: College Freshman - College Senior
  • 728 Pages | eBook
  • Original Copyright 2013 | Published/Released June 2014
  • This publication's content originally published in print form: 2013
  • Price:  Sign in for price



Numerical Methods for Roots of Polynomials - Part II along with Part I covers most of the traditional methods for polynomial root-finding such as interpolation and methods due to Graeffe, Laguerre, and Jenkins and Traub. It includes many other methods and topics as well and has a chapter devoted to certain modern virtually optimal methods. Additionally, there are pointers to robust and efficient programs. This book is invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic.

Table of Contents

Front Cover.
Half Title Page.
Title Page.
Copyright Page.
1: Bisection and Interpolation Methods.
2: Graeffe’s Root-Squaring Method.
3: Methods Involving Second or Higher Derivatives.
4: Bernoulli, Quotient-Difference, and Integral Methods.
5: Jenkins–Traub, Minimization, and Bairstow Methods.
6: Low-Degree Polynomials.
7: Existence and Solution by Radicals.
8: Stability Considerations.
9: Nearly Optimal Universal Polynomial Factorization and Root-Finding.