C++ Toolbox for Verified Computing I [electronic resource] : Basic Numerical Problems Theory, Algorithms, and Programs /

This C++ Toolbox for Verified Computing presents an extensive set of sophisticated tools for solving basic numerical problems with verification of the results. It is the C++ edition of the Numerical Toolbox for Verified Computing which was based on the computer language PASCAL-XSC. The sources of the programs in this book are freely available via anonymous ftp. This book offers a general discussion on arithmetic and computational reliablility, analytical mathematics and verification techniques, algoriths, and (most importantly) actual C++ implementations. In each chapter, examples, exercises, and numerical results demonstrate the application of the routines presented. The book introduces many computational verification techniques. It is not assumed that the reader has any prior formal knowledge of numerical verification or any familiarity with interval analysis. The necessary concepts are introduced. Some of the subjects that the book covers in detail are not usually found in standard numerical analysis texts.

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Bibliographic Details
Main Authors: Kulisch, Ulrich. author., Hammer, Rolf. author., Hocks, Matthias. author., Ratz, Dietmar. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 1995
Subjects:Mathematics., Mathematical analysis., Analysis (Mathematics)., Algorithms., Numerical analysis., Physics., Applied mathematics., Engineering mathematics., Numerical Analysis., Analysis., Appl.Mathematics/Computational Methods of Engineering., Mathematical Methods in Physics., Numerical and Computational Physics.,
Online Access:http://dx.doi.org/10.1007/978-3-642-79651-7
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spelling KOHA-OAI-TEST:1791082018-07-30T22:58:38ZC++ Toolbox for Verified Computing I [electronic resource] : Basic Numerical Problems Theory, Algorithms, and Programs / Kulisch, Ulrich. author. Hammer, Rolf. author. Hocks, Matthias. author. Ratz, Dietmar. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg,1995.engThis C++ Toolbox for Verified Computing presents an extensive set of sophisticated tools for solving basic numerical problems with verification of the results. It is the C++ edition of the Numerical Toolbox for Verified Computing which was based on the computer language PASCAL-XSC. The sources of the programs in this book are freely available via anonymous ftp. This book offers a general discussion on arithmetic and computational reliablility, analytical mathematics and verification techniques, algoriths, and (most importantly) actual C++ implementations. In each chapter, examples, exercises, and numerical results demonstrate the application of the routines presented. The book introduces many computational verification techniques. It is not assumed that the reader has any prior formal knowledge of numerical verification or any familiarity with interval analysis. The necessary concepts are introduced. Some of the subjects that the book covers in detail are not usually found in standard numerical analysis texts.1 Introduction -- 1.1 Advice for Quick Reading -- 1.2 Structure of the Book -- 1.3 Typography -- 1.4 Algorithmic Notation -- 1.5 Implementation -- 1.6 Computational Environment -- 1.7 Why Numerical Result Verification? -- I Preliminaries -- 2 The Features of C-XSC -- 3 Mathematical Preliminaries -- II One-Dimensional Problems -- 4 Evaluation of Polynomials -- 5 Automatic Differentiation -- 6 Nonlinear Equations in One Variable -- 7 Global Optimization -- 8 Evaluation of Arithmetic Expressions -- 9 Zeros of Complex Polynomials -- III Multi-Dimensional Problems -- 10 Linear Systems of Equations -- 11 Linear Optimization -- 12 Automatic Differentiation for Gradients, Jacobians, and Hessians -- 13 Nonlinear Systems of Equations -- 14 Global Optimization -- A Utility Modules -- A.1 Module r_util -- A.2 Module i_util -- A.3 Module ci_util -- A.4 Module mv_util -- A.5 Module mvi_util -- B Alphabetical List of Modules -- C List of Special Symbols.This C++ Toolbox for Verified Computing presents an extensive set of sophisticated tools for solving basic numerical problems with verification of the results. It is the C++ edition of the Numerical Toolbox for Verified Computing which was based on the computer language PASCAL-XSC. The sources of the programs in this book are freely available via anonymous ftp. This book offers a general discussion on arithmetic and computational reliablility, analytical mathematics and verification techniques, algoriths, and (most importantly) actual C++ implementations. In each chapter, examples, exercises, and numerical results demonstrate the application of the routines presented. The book introduces many computational verification techniques. It is not assumed that the reader has any prior formal knowledge of numerical verification or any familiarity with interval analysis. The necessary concepts are introduced. Some of the subjects that the book covers in detail are not usually found in standard numerical analysis texts.Mathematics.Mathematical analysis.Analysis (Mathematics).Algorithms.Numerical analysis.Physics.Applied mathematics.Engineering mathematics.Mathematics.Numerical Analysis.Analysis.Algorithms.Appl.Mathematics/Computational Methods of Engineering.Mathematical Methods in Physics.Numerical and Computational Physics.Springer eBookshttp://dx.doi.org/10.1007/978-3-642-79651-7URN:ISBN:9783642796517
institution COLPOS
collection Koha
country México
countrycode MX
component Bibliográfico
access En linea
En linea
databasecode cat-colpos
tag biblioteca
region America del Norte
libraryname Departamento de documentación y biblioteca de COLPOS
language eng
topic Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Algorithms.
Numerical analysis.
Physics.
Applied mathematics.
Engineering mathematics.
Mathematics.
Numerical Analysis.
Analysis.
Algorithms.
Appl.Mathematics/Computational Methods of Engineering.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Algorithms.
Numerical analysis.
Physics.
Applied mathematics.
Engineering mathematics.
Mathematics.
Numerical Analysis.
Analysis.
Algorithms.
Appl.Mathematics/Computational Methods of Engineering.
Mathematical Methods in Physics.
Numerical and Computational Physics.
spellingShingle Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Algorithms.
Numerical analysis.
Physics.
Applied mathematics.
Engineering mathematics.
Mathematics.
Numerical Analysis.
Analysis.
Algorithms.
Appl.Mathematics/Computational Methods of Engineering.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Algorithms.
Numerical analysis.
Physics.
Applied mathematics.
Engineering mathematics.
Mathematics.
Numerical Analysis.
Analysis.
Algorithms.
Appl.Mathematics/Computational Methods of Engineering.
Mathematical Methods in Physics.
Numerical and Computational Physics.
Kulisch, Ulrich. author.
Hammer, Rolf. author.
Hocks, Matthias. author.
Ratz, Dietmar. author.
SpringerLink (Online service)
C++ Toolbox for Verified Computing I [electronic resource] : Basic Numerical Problems Theory, Algorithms, and Programs /
description This C++ Toolbox for Verified Computing presents an extensive set of sophisticated tools for solving basic numerical problems with verification of the results. It is the C++ edition of the Numerical Toolbox for Verified Computing which was based on the computer language PASCAL-XSC. The sources of the programs in this book are freely available via anonymous ftp. This book offers a general discussion on arithmetic and computational reliablility, analytical mathematics and verification techniques, algoriths, and (most importantly) actual C++ implementations. In each chapter, examples, exercises, and numerical results demonstrate the application of the routines presented. The book introduces many computational verification techniques. It is not assumed that the reader has any prior formal knowledge of numerical verification or any familiarity with interval analysis. The necessary concepts are introduced. Some of the subjects that the book covers in detail are not usually found in standard numerical analysis texts.
format Texto
topic_facet Mathematics.
Mathematical analysis.
Analysis (Mathematics).
Algorithms.
Numerical analysis.
Physics.
Applied mathematics.
Engineering mathematics.
Mathematics.
Numerical Analysis.
Analysis.
Algorithms.
Appl.Mathematics/Computational Methods of Engineering.
Mathematical Methods in Physics.
Numerical and Computational Physics.
author Kulisch, Ulrich. author.
Hammer, Rolf. author.
Hocks, Matthias. author.
Ratz, Dietmar. author.
SpringerLink (Online service)
author_facet Kulisch, Ulrich. author.
Hammer, Rolf. author.
Hocks, Matthias. author.
Ratz, Dietmar. author.
SpringerLink (Online service)
author_sort Kulisch, Ulrich. author.
title C++ Toolbox for Verified Computing I [electronic resource] : Basic Numerical Problems Theory, Algorithms, and Programs /
title_short C++ Toolbox for Verified Computing I [electronic resource] : Basic Numerical Problems Theory, Algorithms, and Programs /
title_full C++ Toolbox for Verified Computing I [electronic resource] : Basic Numerical Problems Theory, Algorithms, and Programs /
title_fullStr C++ Toolbox for Verified Computing I [electronic resource] : Basic Numerical Problems Theory, Algorithms, and Programs /
title_full_unstemmed C++ Toolbox for Verified Computing I [electronic resource] : Basic Numerical Problems Theory, Algorithms, and Programs /
title_sort c++ toolbox for verified computing i [electronic resource] : basic numerical problems theory, algorithms, and programs /
publisher Berlin, Heidelberg : Springer Berlin Heidelberg,
publishDate 1995
url http://dx.doi.org/10.1007/978-3-642-79651-7
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