Rigorous Global Search: Continuous Problems by R Baker Kearfott

Rigorous Global Search: Continuous Problems by R Baker Kearfott

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Summary

Completion of such an algorithm with a list of solutions constitutes a rigorous mathematical proof that all of the solutions within the original search region are within the output list. The monograph is appropriate as an introduction to research and technology in the area, as a desk reference, or as a graduate-level course reference.

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Rigorous Global Search: Continuous Problems by R Baker Kearfott

This work grew out of several years of research, graduate seminars and talks on the subject. It was motivated by a desire to make the technology accessible to those who most needed it or could most use it. It is meant to be a self-contained introduction, a reference for the techniques, and a guide to the literature for the underlying theory. It contains pointers to fertile areas for future research. It also serves as introductory documentation for a Fortran 90 software package for nonlinear systems and global optimization. The subject of the monograph is deterministic, automatically verified or r- orous methods. In such methods, directed rounding and computational fix- point theory are combined with exhaustive search (branch and bound) te- niques. Completion of such an algorithm with a list of solutions constitutes a rigorous mathematical proof that all of the solutions within the original search region are within the output list. The monograph is appropriate as an introduction to research and technology in the area, as a desk reference, or as a graduate-level course reference. Kno- edge of calculus, linear algebra, and elementary numerical analysis is assumed.
SKU Unavailable
ISBN 13 9781441947628
ISBN 10 1441947620
Title Rigorous Global Search: Continuous Problems
Author R Baker Kearfott
Series Nonconvex Optimization And Its Applications
Condition Unavailable
Binding Type Paperback
Publisher Springer-Verlag New York Inc.
Year published 2010-12-03
Number of pages 264
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable