Numerical Methods for Roots of Polynomials

Written By J.M. McNamee
Numerical Methods for Roots of Polynomials
  • Publsiher : Elsevier
  • Release : 17 August 2007
  • ISBN : 9780080489476
  • Pages : 354 pages
  • Rating : 4/5 from 21 reviews
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Read or download book entitled Numerical Methods for Roots of Polynomials written by J.M. McNamee which was release on 17 August 2007, this book published by Elsevier. Available in PDF, EPUB and Kindle Format. Book excerpt: 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. First comprehensive treatment of Root-Finding in several decades Gives description of high-grade software and where it can be down-loaded Very up-to-date in mid-2006; long chapter on matrix methods Includes Parallel methods, errors where appropriate Invaluable for research or graduate course

Numerical Methods for Roots of Polynomials

Numerical Methods for Roots of Polynomials
  • Author : J.M. McNamee
  • Publisher : Elsevier
  • Release Date : 2007-08-17
  • Total pages : 354
  • ISBN : 9780080489476
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Summary : 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, ...

Numerical Methods for Roots of Polynomials

Numerical Methods for Roots of Polynomials
  • Author : J.M. McNamee,Victor Pan
  • Publisher : Newnes
  • Release Date : 2013-07-19
  • Total pages : 728
  • ISBN : 9780080489476
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Summary : 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 ...

Numerical Methods for Engineers and Scientists

Numerical Methods for Engineers and Scientists
  • Author : Joe D. Hoffman,Steven Frankel
  • Publisher : CRC Press
  • Release Date : 2018-10-03
  • Total pages : 840
  • ISBN : 9780080489476
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Summary : Emphasizing the finite difference approach for solving differential equations, the second edition of Numerical Methods for Engineers and Scientists presents a methodology for systematically constructing individual computer programs. Providing easy access to accurate solutions to complex scientific and engineering problems, each chapter begins with objectives, a discussion of a representative ...

Numerical Methods for Roots of Polynomials Part II

Numerical Methods for Roots of Polynomials   Part II
  • Author : J.M. McNamee,V.Y. Pan
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-07-19
  • Total pages : 728
  • ISBN : 9780080489476
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Summary : We discuss Graeffes’s method and variations. Graeffe iteratively computes a sequence of polynomialsso that the roots of are those of raised to the power . Then the roots of can be expressed in terms of the coefficients of . Special treatment is given to complex and/or multiple modulus roots. A ...

Introduction to Numerical Analysis Using MATLAB

Introduction to Numerical Analysis Using MATLAB
  • Author : Butt
  • Publisher : Jones & Bartlett Learning
  • Release Date : 2009-02-17
  • Total pages : 600
  • ISBN : 9780080489476
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Summary : Numerical analysis is the branch of mathematics concerned with the theoretical foundations of numerical algorithms for the solution of problems arising in scientific applications. Designed for both courses in numerical analysis and as a reference for practicing engineers and scientists, this book presents the theoretical concepts of numerical analysis and ...

Exploring Numerical Methods

Exploring Numerical Methods
  • Author : Peter Linz,Richard Wang
  • Publisher : Jones & Bartlett Learning
  • Release Date : 2003
  • Total pages : 473
  • ISBN : 9780080489476
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Summary : Advanced Mathematics...

Fundamental Numerical Methods for Electrical Engineering

Fundamental Numerical Methods for Electrical Engineering
  • Author : Stanislaw Rosloniec
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-07-17
  • Total pages : 284
  • ISBN : 9780080489476
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Summary : Stormy development of electronic computation techniques (computer systems and software), observed during the last decades, has made possible automation of data processing in many important human activity areas, such as science, technology, economics and labor organization. In a broadly understood technology area, this developmentledtoseparationofspecializedformsofusingcomputersforthedesign and manufacturing processes, that is: – computer-aided ...

Object Oriented Implementation of Numerical Methods

Object Oriented Implementation of Numerical Methods
  • Author : Didier H. Besset
  • Publisher : Morgan Kaufmann
  • Release Date : 2001
  • Total pages : 766
  • ISBN : 9780080489476
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Summary : "There are few books that show how to build programs of any kind. One common theme is compiler building, and there are shelves full of them. There are few others. It's an area, or a void, that needs filling. this book does a great job of showing how to build ...

Numerical Methods for Roots of Polynomials Part II

Numerical Methods for Roots of Polynomials   Part II
  • Author : J.M. McNamee,V.Y. Pan
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-07-19
  • Total pages : 728
  • ISBN : 9780080489476
GET BOOK

Summary : Download or read online Numerical Methods for Roots of Polynomials Part II written by J.M. McNamee,V.Y. Pan, published by Elsevier Inc. Chapters which was released on 2013-07-19. Get Numerical Methods for Roots of Polynomials Part II Books now! Available in PDF, ePub and Kindle....

Numerical Methods for Roots of Polynomials

Numerical Methods for Roots of Polynomials
  • Author : J. M. McNamee,V. Y. Pan
  • Publisher : Unknown
  • Release Date : 2007
  • Total pages : 364
  • ISBN : 9780080489476
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Summary : This book (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newtons, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincents method, simultaneous iterations, and matrix methods. There is an extensive ...

Introduction to Precise Numerical Methods

Introduction to Precise Numerical Methods
  • Author : Oliver Aberth
  • Publisher : Elsevier
  • Release Date : 2007-04-11
  • Total pages : 272
  • ISBN : 9780080489476
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Summary : Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. The book also provides exercises which illustrate points from the text and references for the methods presented. · Clearer, simpler ...

Numerical Methods for Roots of Polynomials Part II

Numerical Methods for Roots of Polynomials   Part II
  • Author : J.M. McNamee,V.Y. Pan
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-07-19
  • Total pages : 728
  • ISBN : 9780080489476
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Summary : First we consider the Jenkins–Traub 3-stage algorithm. In stage 1 we defineIn the second stage the factor is replaced by for fixed , and in the third stage by where is re-computed at each iteration. Then a root. A slightly different algorithm is given for real polynomials. Another class of methods ...

Numerical Methods for Nonlinear Engineering Models

Numerical Methods for Nonlinear Engineering Models
  • Author : John R. Hauser
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-03-24
  • Total pages : 1013
  • ISBN : 9780080489476
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Summary : There are many books on the use of numerical methods for solving engineering problems and for modeling of engineering artifacts. In addition there are many styles of such presentations ranging from books with a major emphasis on theory to books with an emphasis on applications. The purpose of this book ...

Numerical Methods for Roots of Polynomials Part II

Numerical Methods for Roots of Polynomials   Part II
  • Author : J.M. McNamee,V.Y. Pan
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-07-19
  • Total pages : 728
  • ISBN : 9780080489476
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Summary : This chapter treats several topics, starting with Bernoulli’s method. This method iteratively solves a linear difference equation whose coefficients are the same as those of the polynomial. The ratios of successive iterates tends to the root of largest magnitude. Special versions are used for complex and/or multiple roots. ...

Numerical Methods for Roots of Polynomials Part II

Numerical Methods for Roots of Polynomials   Part II
  • Author : J.M. McNamee,V.Y. Pan
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-07-19
  • Total pages : 728
  • ISBN : 9780080489476
GET BOOK

Summary : We consider proofs that every polynomial has one zero (and hence n) in the complex plane. This was proved by Gauss in 1799, although a flaw in his proof was pointed out and fixed by Ostrowski in 1920, whereas other scientists had previously made unsuccessful attempts. We give details of Gauss’ fourth (...