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Numerical Methods for Roots of Polynomials - Part II de J.M. McNamee

Numerical Methods for Roots of Polynomials - Part II: Studies in Computational Mathematics, cartea 16

Autor J.M. McNamee, Victor Pan
en Limba Engleză Hardback – 21 iul 2013
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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Specificații

ISBN-13: 9780444527301
ISBN-10: 0444527303
Pagini: 728
Ilustrații: black & white tables
Dimensiuni: 152 x 229 x 46 mm
Greutate: 1.2 kg
Ediția:New.
Editura: ELSEVIER SCIENCE
Seria Studies in Computational Mathematics

Public țintă

Academic faculty and libraries, Industry (engineering)

Cuprins

VOLUME 2Chapter 7. Interpolation Methods.Chapter 8. Graeffe's and Integral Methods.Chapter 9. Methods Involving Derivatives Higher than First.Chapter 10. Existence, Solution by Radicals.VOLUME 3.Chapter 11. Bernoulli, QD, and Bairstow Methods.Chapter 12. Jenkins-Traub and Minimization Methods.Chapter 13. Low-degree, N'th roots.Chapter 14. Splitting Methods.Chapter 15. Miscellaneous.INDEX

Recenzii

"...a well-written handbook of numerical methods for polynomial root-solving...covers most of the traditional methods for root-finding...as well as a great many invented in the last few decades of the 20th and early 21st centuries."-- MathSciNet, Numerical Methods for Roots of Polynomials - Part II"This book comprehensively covers traditional and latest methods on the calculation of roots of polynomials. The readers will benefit from this book greatly since these numerical methods in this book are accurate practical and have wide applications in control theory, information processing, statistics, etc. This book is well-written and accessible…"-- Zentralblatt MATH, 1279.65053"In this second of two parts, McNamee and Pan describe methods that are mostly numerical, or iterative, though they do devote one chapter to analytic methods for polynomials of degree up to five. Readers only need knowledge of polynomials at the senior high-school level, they say, but should have completed at least undergraduate courses in calculus and linear algebra."-- Reference & Research Book News, October 2013