Numerical Methods for Roots of Polynomials -, Part 2

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Newnes, Jul 19, 2013 - Mathematics - 728 pages
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Numerical Methods for Roots of Polynomials - Part II along with Part I (9780444527295) 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.



  • First comprehensive treatment of Root-Finding in several decades with a description of high-grade software and where it can be downloaded
  • Offers a long chapter on matrix methods and includes Parallel methods and errors where appropriate
  • Proves invaluable for research or graduate course
 

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Contents

7 Bisection and Interpolation Methods
1
8 Graeffes RootSquaring Method
139
9 Methods Involving Second or Higher Derivatives
215
10 Bernoulli QuotientDifference and Integral Methods
381
11 JenkinsTraub Minimization and Bairstow Methods
461
12 LowDegree Polynomials
527
13 Existence and Solution by Radicals
557
14 Stability Considerations
577
15 Nearly Optimal Universal Polynomial Factorization and RootFinding
633
Index
719
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