书目名称 | Introduction to Global Optimization Exploiting Space-Filling Curves |
编辑 | Yaroslav D. Sergeyev,Roman G. Strongin,Daniela Ler |
视频video | |
概述 | Presents new efficient methods for solving an important practical problem in the field of space-filling curves.Starting point for developing new methods.Contains a code for implementing space-filling |
丛书名称 | SpringerBriefs in Optimization |
图书封面 |  |
描述 | .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, indu |
出版日期 | Book 2013 |
关键词 | Lipschitz and Holder conditions; Space-filling curves; acceleration; geometric algorithms; global optimi |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-8042-6 |
isbn_softcover | 978-1-4614-8041-9 |
isbn_ebook | 978-1-4614-8042-6Series ISSN 2190-8354 Series E-ISSN 2191-575X |
issn_series | 2190-8354 |
copyright | Yaroslav D. Sergeyev, Roman G. Strongin, Daniela Lera 2013 |