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＜E-Book＞
Rigorous Global Search: Continuous Problems / by R. Baker Kearfott
(Nonconvex Optimization and Its Applications ; 13)

Edition	1st ed. 1996.
Publisher	(New York, NY : Springer US : Imprint: Springer)
Year	1996
Language	English
Size	XVI, 264 p : online resource
Authors	*Kearfott, R. Baker author SpringerLink (Online service)
Subjects	LCSH:Mathematical optimization LCSH:Numerical analysis LCSH:Operations research LCSH:Software engineering FREE:Optimization FREE:Numerical Analysis FREE:Operations Research and Decision Theory FREE:Software Engineering
Notes	1 Preliminaries -- 2 Software Environments -- 3 On Preconditioning -- 4 Verified Solution of Nonlinear Systems -- 5 Optimization -- 6 Non-Differentiable Problems -- 7 Use of Intermediate Quantities in THE Expression Values -- References 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 HTTP:URL=https://doi.org/10.1007/978-1-4757-2495-0

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