عنوان

C++ Toolbox for Verified Computing I :

شابک

3642796516

شابک

3642796532

شابک

9783642796517

شابک

9783642796531

شماره

b574003

عنوان اصلي

C++ Toolbox for Verified Computing I :

نام عام مواد

[Book]

ساير اطلاعات عنواني

Basic Numerical Problems Theory, Algorithms, and Programs

نام نخستين پديدآور

by Ulrich Kulisch, Rolf Hammer, Matthias Hocks, Dietmar Ratz.

محل نشرو پخش و غیره

Berlin, Heidelberg

نام ناشر، پخش کننده و غيره

Springer Berlin Heidelberg

تاریخ نشرو بخش و غیره

1995

نام خاص و کميت اثر

(XVIII, 382 pages)

متن يادداشت

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.

متن يادداشت

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.

عنوان اصلي به زبان ديگر

Theory, Algorithms, and Programs

موضوع مستند نشده

Algorithms.

موضوع مستند نشده

Global analysis (Mathematics)

موضوع مستند نشده

Mathematics.

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

by Ulrich Kulisch, Rolf Hammer, Matthias Hocks, Dietmar Ratz.

مستند نام اشخاص تاييد نشده

Dietmar Ratz

مستند نام اشخاص تاييد نشده

Matthias Hocks

مستند نام اشخاص تاييد نشده

Rolf Hammer

مستند نام اشخاص تاييد نشده

Ulrich Kulisch

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y