Rigorous Global Search: Continuous Problems

Name: Rigorous Global Search: Continuous Problems
Brand: Springer-Verlag New York Inc.
SKU: 9781441947628
Price: 893.61 RON
Availability: InStock

Autor: R. Baker Kearfott

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Editura: Springer-Verlag New York Inc.

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This work grew out of several years of research, graduate seminars and talks on the subject. It was...

Informații despre carte

Autor

R. Baker Kearfott

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

264

EAN

9781441947628

ISBN

1441947620

Enbook ID

02706605

Editura

Springer-Verlag New York Inc.

Greutate

438

Dimensiuni

155 x 235 x 16

Descriere completă

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.

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