A continuous deformation algorithm for variational inequality problems on polytopes

DOI10.1007/BF01582567zbMath0819.65102OpenAlexW2028415812MaRDI QIDQ1330896

Yang Dai, Yoshitsugu Yamamoto

Publication date: 10 August 1994

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01582567

zbMATH Keywords

variational inequalitynumerical examplespolytopecontinuous deformation algorithmvariable dimension algorithm

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Decomposition methods (49M27)

Cites Work

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• The computation of fixed points and applications
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• A new subdivision for computing fixed points with a homotopy algorithm
• A Simplicial Algorithm for the Nonlinear Stationary Point Problem on an Unbounded Polyhedron
• A restart algorithm for computing fixed points without an extra dimension
• Homotopies for computation of fixed points
• A new simplicial variable dimension algorithm to find equilibria on the product space of unit simplices
• Variable dimension algorithms: Basic theory, interpretations and extensions of some existing methods
• Homotopies for computation of fixed points on unbounded regions
• Conjugate Directions without Linear Searches

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