Optimality condition and algorithm with deviation integral for global optimization

DOI10.1016/j.jmaa.2009.04.022zbMath1176.90476OpenAlexW2004009519MaRDI QIDQ1029107

Quan Zheng, Liu Chen, Yi-rong Yao

Publication date: 9 July 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.04.022

zbMATH Keywords

robust analysisglobal optimality conditiondeviation integralintegral global minimizationstochastic implementation

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) Extreme-point and pivoting methods (90C49)

Related Items (4)

The robust constant and its applications in random global search for unconstrained global optimization ⋮ The Robust Constant and Its Applications in Global Optimization ⋮ Finite-dimensional approximation to global minimizers in functional spaces with R-convergence ⋮ Discontinuous penalty approach with deviation integral for global constrained minimization

Cites Work

• Unnamed Item
• A sufficient and necessary condition for global optimization
• Integral global optimization. Theory, implementation and applications
• Integral global minimization: Algorithms, implementations and numerical tests
• Robust analysis and global minimization of a class of discontinuous functions. I
• The Tunneling Algorithm for the Global Minimization of Functions
• Discontinuous Robust Mappings are Approximatable
• Essential supremum and supremum of summable functions
• Robust analysis and global optimization

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