Numerical Methods for Roots of Polynomia
β J.M. McNamee and V.Y. Pan (Eds.)
π Library
π
2013
π Academic Press, Elsevier
β¦ LIBER β¦
π
Numerical Methods for Roots of Polynomials - Part II
β Scribed by J.M. McNamee and V.Y. Pan (Eds.)
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Leaves
- 736
- Series
- Studies in Computational Mathematics
- Edition
- 1
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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 withΒ 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
β¦ Table of Contents
Content:
Numerical Methods for Roots of Polynomials, Part II
Page iii
Copyright
Page iv
Dedication
Page v
Acknowledgment
Page xi
Preface
Page xiii
Introduction
Pages xv-xxi
J.M. McNamee, V.Y. Pan
Chapter 7 - Bisection and Interpolation Methods
Pages 1-138
J.M. McNamee, V.Y. Pan
Chapter 8 - Graeffeβs Root-Squaring Method
Pages 139-214
J.M. McNamee, V.Y. Pan
Chapter 9 - Methods Involving Second or Higher Derivatives
Pages 215-379
J.M. McNamee, V.Y. Pan
Chapter 10 - Bernoulli, Quotient-Difference, and Integral Methods
Pages 381-460
J.M. McNamee, V.Y. Pan
Chapter 11 - JenkinsβTraub, Minimization, and Bairstow Methods
Pages 461-526
J.M. McNamee, V.Y. Pan
Chapter 12 - Low-Degree Polynomials
Pages 527-556
J.M. McNamee, V.Y. Pan
Chapter 13 - Existence and Solution by Radicals
Pages 557-576
J.M. McNamee, V.Y. Pan
Chapter 14 - Stability Considerations
Pages 577-632
J.M. McNamee, V.Y. Pan
Chapter 15 - Nearly Optimal Universal Polynomial Factorization and Root-Finding
Pages 633-717
J.M. McNamee, V.Y. Pan
Index
Pages 719-726
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