Topics in Lipschitz global optimisation

DOI10.1017/S0004972700030641zbMath0934.90079MaRDI QIDQ4346952

Baoping Zhang

Publication date: 25 April 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Lipschitz constantmultidimensional bisection algorithmLipschitz global optimisation algorithmsPiyavskii-Shubert algorithmpure localisation search

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical optimization and variational techniques (65K10) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30)

Cites Work

• Extended univariate algorithms for \(n\)-dimensional global optimization
• Pure adaptive search in global optimization
• The bisection method in higher dimensions
• Globally convergent methods for n-dimensional multiextremal optimization
• An algorithm for finding the global maximum of a multimodal, multivariate function
• An algorithm for finding the absolute extremum of a function
• A Sequential Method Seeking the Global Maximum of a Function

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