Numerical Methods for Roots of Polynomials   Book

Numerical Methods for Roots of Polynomials


  • Author : J.M. McNamee
  • Publisher : Elsevier
  • Release Date : 2007-08-17
  • Genre: Mathematics
  • Pages : 354
  • ISBN 10 : 0080489478

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Numerical Methods for Roots of Polynomials 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   Book

Numerical Methods for Roots of Polynomials


  • Author : J.M. McNamee
  • Publisher : Newnes
  • Release Date : 2013-07-19
  • Genre: Mathematics
  • Pages : 728
  • ISBN 10 : 9780080931432

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Numerical Methods for Roots of Polynomials Excerpt :

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

Numerical Methods for Engineers and Scientists Book
Score: 5
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Numerical Methods for Engineers and Scientists


  • Author : Joe D. Hoffman
  • Publisher : CRC Press
  • Release Date : 2018-10-03
  • Genre: Mathematics
  • Pages : 840
  • ISBN 10 : 9781482270600

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Numerical Methods for Engineers and Scientists Excerpt :

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 application, and an outline of special features, summing up with a list of tasks students should be able to complete after reading the chapter- perfect for use as a study guide or for review. The AIAA Journal calls the book "...a good, solid instructional text on the basic tools of numerical analysis."

Numerical Methods for Roots of Polynomials   Part II Book

Numerical Methods for Roots of Polynomials Part II


  • Author : J.M. McNamee
  • Publisher : Elsevier Inc. Chapters
  • Release Date : 2013-07-19
  • Genre: Mathematics
  • Pages : 728
  • ISBN 10 : 9780128076989

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Numerical Methods for Roots of Polynomials Part II Excerpt :

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 method of Lehmer’s finds the argument as well as the modulus of the roots, while other authors show how to reduce the danger of overflow. Variants such as the Chebyshev-like process are discussed. The Graeffe iteration lends itself well to parallel processing, and two algorithms in that context are described. Error estimates are given, as well as several variants.

Introduction to Numerical Analysis Using MATLAB   Book
Score: 5
From 2 Ratings

Introduction to Numerical Analysis Using MATLAB


  • Author : Butt
  • Publisher : Jones & Bartlett Learning
  • Release Date : 2009-02-17
  • Genre: Mathematics
  • Pages : 836
  • ISBN 10 : 076377376X

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Introduction to Numerical Analysis Using MATLAB Excerpt :

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 the practical justification of these methods are presented through computer examples with the latest version of MATLAB. The book addresses a variety of questions ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations, with particular emphasis on the stability, accuracy, efficiency and reliability of numerical algorithms. The CD-ROM which accompanies the book includes source code, a numerical toolbox, executables, and simulations.

Exploring Numerical Methods Book

Exploring Numerical Methods


  • Author : Peter Linz
  • Publisher : Jones & Bartlett Learning
  • Release Date : 2003
  • Genre: Computers
  • Pages : 494
  • ISBN 10 : 0763714992

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Exploring Numerical Methods Excerpt :

Advanced Mathematics

Fundamental Numerical Methods for Electrical Engineering Book

Fundamental Numerical Methods for Electrical Engineering


  • Author : Stanislaw Rosloniec
  • Publisher : Springer Science & Business Media
  • Release Date : 2008-07-17
  • Genre: Technology & Engineering
  • Pages : 284
  • ISBN 10 : 9783540795193

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Fundamental Numerical Methods for Electrical Engineering Excerpt :

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 design (CAD) – computer-aided manufacture (CAM) In order to show the role of computer in the rst of the two applications m- tioned above, let us consider basic stages of the design process for a standard piece of electronic system, or equipment: – formulation of requirements concerning user properties (characteristics, para- ters) of the designed equipment, – elaboration of the initial, possibly general electric structure, – determination of mathematical model of the system on the basis of the adopted electric structure, – determination of basic responses (frequency- or time-domain) of the system, on the base of previously established mathematical model, – repeated modi cation of the adopted diagram (changing its structure or element values) in case, when it does not satisfy the adopted requirements, – preparation of design and technological documentation, – manufacturing of model (prototype) series, according to the prepared docum- tation, – testing the prototype under the aspect of its electric properties, mechanical du- bility and sensitivity to environment conditions, – modi cation of prototype documentation, if necessary, and handing over the documentation to series production. The most important stages of the process under discussion are illustrated in Fig. I. 1. xi xii Introduction Fig. I.

Object Oriented Implementation of Numerical Methods Book

Object Oriented Implementation of Numerical Methods


  • Author : Didier H. Besset
  • Publisher : Morgan Kaufmann
  • Release Date : 2001
  • Genre: Computers
  • Pages : 800
  • ISBN 10 : 1558606793

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Object Oriented Implementation of Numerical Methods Excerpt :

"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 analysis programs." -David N. Smith, IBM T J Watson Research Center Numerical methods naturally lend themselves to an object-oriented approach. Mathematics builds high- level ideas on top of previously described, simpler ones. Once a property is demonstrated for a given concept, it can be applied to any new concept sharing the same premise as the original one, similar to the ideas of reuse and inheritance in object-oriented (OO) methodology. Few books on numerical methods teach developers much about designing and building good code. Good computing routines are problem-specific. Insight and understanding are what is needed, rather than just recipes and black box routines. Developers need the ability to construct new programs for different applications. Object-Oriented Implementation of Numerical Methods reveals a complete OO design methodology in a clear and systematic way. Each method is presented in a consistent format, beginning with a short explanation and following with a description of the general OO architecture for the algorithm. Next, the code implementations are discussed and presented along with real-world examples that the author, an experienced software engineer, has used in a variety of commercial applications. Features: Reveals the design methodology behind the code, including design patterns where appropriate, rather than just presenting canned solutions. Implements all methods side by side in both Java and Smalltalk. This contrast can significantly enhance your understanding of the nature of OO programming languages. Provides a step-by-step pathway to new object-oriented techniques for programmers familiar with using procedural languages such as C or Fortran for numerical methods. Inclu

Introduction to Precise Numerical Methods Book

Introduction to Precise Numerical Methods


  • Author : Oliver Aberth
  • Publisher : Elsevier
  • Release Date : 2007-04-11
  • Genre: Mathematics
  • Pages : 272
  • ISBN 10 : 008047120X

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Introduction to Precise Numerical Methods Excerpt :

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 descriptions and explanations of the various numerical methods · Two new types of numerical problems; accurately solving partial differential equations with the included software and computing line integrals in the complex plane.

Numerical Methods for Nonlinear Engineering Models Book

Numerical Methods for Nonlinear Engineering Models


  • Author : John R. Hauser
  • Publisher : Springer Science & Business Media
  • Release Date : 2009-03-24
  • Genre: Technology & Engineering
  • Pages : 1013
  • ISBN 10 : 9781402099205

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Numerical Methods for Nonlinear Engineering Models Excerpt :

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 is hopefully to present a somewhat different approach to the use of numerical methods for - gineering applications. Engineering models are in general nonlinear models where the response of some appropriate engineering variable depends in a nonlinear manner on the - plication of some independent parameter. It is certainly true that for many types of engineering models it is sufficient to approximate the real physical world by some linear model. However, when engineering environments are pushed to - treme conditions, nonlinear effects are always encountered. It is also such - treme conditions that are of major importance in determining the reliability or failure limits of engineering systems. Hence it is essential than engineers have a toolbox of modeling techniques that can be used to model nonlinear engineering systems. Such a set of basic numerical methods is the topic of this book. For each subject area treated, nonlinear models are incorporated into the discussion from the very beginning and linear models are simply treated as special cases of more general nonlinear models. This is a basic and fundamental difference in this book from most books on numerical methods.

Numerical Recipes in Pascal  First Edition  Book
Score: 5
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Numerical Recipes in Pascal First Edition


  • Author : William H Press
  • Publisher : Cambridge University Press
  • Release Date : 1989-10-27
  • Genre: Mathematics
  • Pages : 792
  • ISBN 10 : 0521375169

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Numerical Recipes in Pascal First Edition Excerpt :

Numerical Recipes: The Art of Scientific Computing was first published in 1986 and became an instant classic among scientists, engineers, and social scientists. In this book the original, time-tested programs have been completely reworked into a clear, consistent Pascal style. This represents a significant improvement to the immensely successful programs contained in the first edition, which were originally written in Fortran. The authors make extensive use of pointers, dynamic memory allocation, and other features utilized by this language. The explanatory text accompanying the programs replicates the lucid, and easy-to-read prose found in the original version, and incorporates corrections, improvements, and explanations of special Pascal features. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes in Pascal fills a long-recognized need for a practical, comprehensive handbook of scientific computing in the Pascal language. The book is designed both for the Pascal programmer who wants exposure to the techniques of scientific computing, and for the working scientist, social scientist, and engineer. The scope of the book ranges from standard areas of numerical analysis (linear algebra, differential equations, roots) through subjects useful to signal processing (Fourier methods, filtering), data analysis (least squares, robust fitting, statistical functions), simulation (random deviates and Monte Carlo), and more. The lively, informal text combined with an underlying degree of mathematical sophistication makes the book useful to a wide range of readers, beginning at the advanced undergraduate level.

The Numerical Solution of Systems of Polynomials Arising in Engineering and Science Book

The Numerical Solution of Systems of Polynomials Arising in Engineering and Science


  • Author : Andrew John Sommese
  • Publisher : World Scientific
  • Release Date : 2005
  • Genre: Mathematics
  • Pages : 426
  • ISBN 10 : 9789812561848

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The Numerical Solution of Systems of Polynomials Arising in Engineering and Science Excerpt :

Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets. The text covers the full theory from methods developed for isolated solutions in the 1980's to the most recent research on positive dimensional sets.

NUMERICAL ANALYSIS Book

NUMERICAL ANALYSIS


  • Author : Vinay Vachharajani
  • Publisher : BPB Publications
  • Release Date : 2018-06-01
  • Genre: Computers
  • Pages : 594
  • ISBN 10 : 9789387284616

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NUMERICAL ANALYSIS Excerpt :

Description:This book is Designed to serve as a text book for the undergraduate as well as post graduate students of Mathematics, Engineering, Computer Science.COVERAGE:Concept of numbers and their accuracy, binary and decimal number system, limitations of floating point representation.Concept of error and their types, propagation of errors through process graph.Iterative methods for finding the roots of algebraic and transcendental equations with their convergence, methods to solve the set of non-linear equations, methods to obtain complex roots.Concept of matrices, the direct and iterative methods to solve a system of linear algebraic equations.Finite differences, interpolation and extrapolation methods, cubic spline, concept of curve fitting.Differentiation and integration methods.Solution of ordinary and partial differential equations SALIENT FEATURES:Chapters include objectives, learning outcomes, multiple choice questions, exercises for practice and solutions.Programs are written in C Language for Numerical methods.Topics are explained with suitable examples.Arrangement (Logical order), clarity, detailed presentation and explanation of each topic with numerous solved and unsolved examples.Concise but lucid and student friendly presentation for derivation of formulas used in various numerical methods. Table Of Contents:Computer ArithmeticError Analysis Solution of Algebraic and Transcendental Equations Solution of System of Linear Equations and Eigen value Problems Finite Differences Interpolation Curve Fitting and Approximation Numerical Differentiation Numerical Integration Difference Equations Numerical Solution of Ordinary Differential Equations Numerical Solution of Partial Differential Equations Appendix - I Case Studies / Applications Appendix - II Synthetic Division Bibliography Index

Numerical Analysis Using MATLAB and Spreadsheets Book

Numerical Analysis Using MATLAB and Spreadsheets


  • Author : Steven T. Karris
  • Publisher : Orchard Publications
  • Release Date : 2004
  • Genre: Education
  • Pages : 570
  • ISBN 10 : 9780974423913

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Numerical Analysis Using MATLAB and Spreadsheets Excerpt :

Annotation This text provides complete, clear, and detailed explanations of the principal numerical analysis methods and well known functions used in science and engineering. These are illustrated with many practical examples. With this text the reader learns numerical analysis with many real-world applications, MATLAB, and spreadsheets simultaneously. This text includes the following chapters:? Introduction to MATLAB? Root Approximations? Sinusoids and Complex Numbers? Matrices and Determinants? Review of Differential Equations? Fourier, Taylor, and Maclaurin Series? Finite Differences and Interpolation? Linear and Parabolic Regression? Solution of Differential Equations by Numerical Methods? Integration by Numerical Methods? Difference Equations? Partial Fraction Expansion? The Gamma and Beta Functions? Orthogonal Functions and Matrix Factorizations? Bessel, Legendre, and Chebyshev Polynomials? Optimization MethodsEach chapter contains numerous practical applications supplemented with detailed instructionsfor using MATLAB and/or Microsoft Excel? to obtain quick solutions.