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Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization. The authors look at a family of derivative-free numerical algorithms applying space-filling curves to reduce the dimensionality of the global optimization problem; along with a number of unconventional ideas, such as adaptive strategies for estimating Lipschitz constant, balancing global and local information to accelerate the search. Convergence conditions of the described algorithms are studied in depth and theoretical considerations are illustrated through numerical examples. This work also contains a code for implementing space-filling curves that can be used for constructing new global optimization algorithms. Basic ideas from this text can be applied to a number of problems including problems with multiextremal and partially defined constraints and non-redundant parallel computations can be organized. Professors, students, researchers, engineers, and other professionals in the fields of pure mathematics, nonlinear sciences studying fractals, operations research, management science, industrial and applied mathematics, computer science, engineering, economics, and the environmental sciences will find this title useful .
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Subjects
Mathematical optimization, Nonconvex programming, Algorithms, Operations research, Algebraic Geometry, Numerical analysis, Manifolds and Cell Complexes (incl. Diff.Topology), Mathematics, Geometry, algebraic, Computer software, Cell aggregation, Management Science Operations Research, Mathematical SoftwareEdition | Availability |
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Introduction to Global Optimization Exploiting Space-Filling Curves
Aug 06, 2013, Springer
paperback
1461480418 9781461480419
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Introduction to Global Optimization Exploiting Space-Filling Curves
2013, Springer London, Limited
in English
1461480426 9781461480426
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Introduction to Global Optimization Exploiting Space-Filling Curves
Jul 31, 2013, Springer
paperback
1461480434 9781461480433
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Book Details
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Source title: Introduction to Global Optimization Exploiting Space-Filling Curves (SpringerBriefs in Optimization)
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- Created April 29, 2020
- 4 revisions
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September 21, 2024 | Edited by MARC Bot | import existing book |
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