A Regularized Explicit Exchange Method for Semi-Infinite Programs with an Infinite Number of Conic Constraints

DOI10.1137/110839631zbMath1262.90177OpenAlexW2127304839MaRDI QIDQ4899022

Masao Fukushima, Takayuki Okuno, Shunsuke Hayashi

Publication date: 4 January 2013

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/160944

zbMATH Keywords

semi-infinite programmingconic constraintsexchange method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Semi-infinite programming (90C34)

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Computation algorithm for convex semi-infinite program with second-order cones: special analyses for affine and quadratic case ⋮ Primal-dual path following method for nonlinear semi-infinite programs with semi-definite constraints ⋮ A discretization algorithm for nonsmooth convex semi-infinite programming problems based on bundle methods ⋮ An interior point sequential quadratic programming-type method for log-determinant semi-infinite programs ⋮ Local reduction based SQP-type method for semi-infinite programs with an infinite number of second-order cone constraints ⋮ Simplex-type algorithm for second-order cone programmes via semi-infinite programming reformulation ⋮ An exchange method with refined subproblems for convex semi-infinite programming problems

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