Rolf Hammer, Matthias Hocks, Ulrich Kulisch, Dietmar Ratz

C++ Toolbox for Verified Computing I (eBook, PDF)

Basic Numerical Problems Theory, Algorithms, and Programs

• Format: PDF

Produktbeschreibung

This book 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 (SSCM Vol. 21). The sources of the programs in this book are freely available via anonymous ftp.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 382
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642796517
• Artikelnr.: 53097829

Inhaltsangabe

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.