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Titlebook: Rigorous Global Search: Continuous Problems; R. Baker Kearfott Book 1996 Springer Science+Business Media Dordrecht 1996 FORTRAN.computatio

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書目名稱Rigorous Global Search: Continuous Problems
編輯R. Baker Kearfott
視頻videohttp://file.papertrans.cn/831/830393/830393.mp4
叢書名稱Nonconvex Optimization and Its Applications
圖書封面Titlebook: Rigorous Global Search: Continuous Problems;  R. Baker Kearfott Book 1996 Springer Science+Business Media Dordrecht 1996 FORTRAN.computatio
描述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.
出版日期Book 1996
關(guān)鍵詞FORTRAN; computational geometry; computer; design; geometry; linear algebra; operations research; optimizat
版次1
doihttps://doi.org/10.1007/978-1-4757-2495-0
isbn_softcover978-1-4419-4762-8
isbn_ebook978-1-4757-2495-0Series ISSN 1571-568X
issn_series 1571-568X
copyrightSpringer Science+Business Media Dordrecht 1996
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Non-Differentiable Problems,d for global optimization. In Chapters 1 and 2, it was shown how to compute and use such interval extensions and interval Newton methods when the functions were given by smooth expressions, without conditional branches. In fact, however, many practical problems, in particular those containing expres
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1571-568X logy 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 docume
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Software Environments,ran 90 modules built upon this library are described here. Although some information here is specific, underlying principles and philosophy are emphasized, and the packages are readily available, free of cost, to readers.
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