Optimization methods & software · 1999 · 40 citations · 12 references
Mathematical ProgrammingLipschitz ProgrammingConvex-along-rays FunctionsEngineeringContinuous OptimizationLipschitz Programming ProblemConvex OptimizationInverse ProblemsLipschitz ProgrammingabstractLinear ProgrammingFunctional AnalysisComputational GeometryApproximation TheoryQuadratic Programming
Abstract We propose a general scheme of reduction of a Lipschitz programming problem to a problem of minimizing increasing convex-along-rays function. It is based on the positively homogeneous extension of degree p of the objective function and projective transformation of onto the unit simplex. The application of cutting angle method to Lipschitz programming is considered. Keywords: Lipschitz programmingabstract convexitycutting angle method
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