Methods and Applications of Interval Analysis
Title | Methods and Applications of Interval Analysis PDF eBook |
Author | Ramon E. Moore |
Publisher | SIAM |
Pages | 136 |
Release | 1979-01-01 |
Genre | Mathematics |
ISBN | 0898711614 |
Mathematics of Computing -- Numerical Analysis.
Introduction to Interval Analysis
Title | Introduction to Interval Analysis PDF eBook |
Author | Ramon E. Moore |
Publisher | SIAM |
Pages | 223 |
Release | 2009-01-01 |
Genre | Mathematics |
ISBN | 089871771X |
An update on the author's previous books, this introduction to interval analysis provides an introduction to INTLAB, a high-quality, comprehensive MATLAB toolbox for interval computations, making this the first interval analysis book that does with INTLAB what general numerical analysis texts do with MATLAB.
Interval Methods for Systems of Equations
Title | Interval Methods for Systems of Equations PDF eBook |
Author | A. Neumaier |
Publisher | Cambridge University Press |
Pages | 275 |
Release | 1990 |
Genre | Mathematics |
ISBN | 052133196X |
Mathematics of Computing -- Numerical Analysis.
Applied Interval Analysis
Title | Applied Interval Analysis PDF eBook |
Author | Luc Jaulin |
Publisher | Springer Science & Business Media |
Pages | 382 |
Release | 2012-12-06 |
Genre | Computers |
ISBN | 1447102495 |
At the core of many engineering problems is the solution of sets of equa tions and inequalities, and the optimization of cost functions. Unfortunately, except in special cases, such as when a set of equations is linear in its un knowns or when a convex cost function has to be minimized under convex constraints, the results obtained by conventional numerical methods are only local and cannot be guaranteed. This means, for example, that the actual global minimum of a cost function may not be reached, or that some global minimizers of this cost function may escape detection. By contrast, interval analysis makes it possible to obtain guaranteed approximations of the set of all the actual solutions of the problem being considered. This, together with the lack of books presenting interval techniques in such a way that they could become part of any engineering numerical tool kit, motivated the writing of this book. The adventure started in 1991 with the preparation by Luc Jaulin of his PhD thesis, under Eric Walter's supervision. It continued with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. More than two years ago, when we presented our book project to Springer, we naively thought that redaction would be a simple matter, given what had already been achieved . . .
Global Optimization Using Interval Analysis
Title | Global Optimization Using Interval Analysis PDF eBook |
Author | Eldon Hansen |
Publisher | CRC Press |
Pages | 528 |
Release | 2003-12-19 |
Genre | Mathematics |
ISBN | 9780203026922 |
Employing a closed set-theoretic foundation for interval computations, Global Optimization Using Interval Analysis simplifies algorithm construction and increases generality of interval arithmetic. This Second Edition contains an up-to-date discussion of interval methods for solving systems of nonlinear equations and global optimization problems. It expands and improves various aspects of its forerunner and features significant new discussions, such as those on the use of consistency methods to enhance algorithm performance. Provided algorithms are guaranteed to find and bound all solutions to these problems despite bounded errors in data, in approximations, and from use of rounded arithmetic.
Methods And Applications Of Interval Analysis
Title | Methods And Applications Of Interval Analysis PDF eBook |
Author | R.E. Moore |
Publisher | |
Pages | 0 |
Release | |
Genre | |
ISBN |
Introduction to Interval Analysis
Title | Introduction to Interval Analysis PDF eBook |
Author | Ramon E. Moore |
Publisher | SIAM |
Pages | 222 |
Release | 2009-04-16 |
Genre | Mathematics |
ISBN | 0898716691 |
An introduction to interval analysis for scientists and engineers interested in scientific computation, especially using INTLAB/MATLAB®.