Homotopy method for solving variational inequalities

DOI10.1023/A:1021729301331zbMath0922.90134MaRDI QIDQ1281974

Yong Li, Zhenghua Lin

Publication date: 4 October 1999

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

homotopy methodsfinite-dimensional variational inequalitiesglobally convergent methods

Mathematics Subject Classification ID

Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (11)

A differentiable path-following algorithm for computing perfect stationary points ⋮ Homotopy method for solving ball-constrained variational inequalities ⋮ A smoothing homotopy method for variational inequality problems on polyhedral convex sets ⋮ A noninterior path following algorithm for solving a class of multiobjective programming problems ⋮ Strong convergence on the aggregate constraint-shifting homotopy method for solving general nonconvex programming ⋮ Homotopy method for solving variational inequalities with bounded box constraints ⋮ Homotopy methods for solving variational inequalities in unbounded sets ⋮ Condition for global convergence of a homotopy method for variational inequality problems on unbounded sets ⋮ A smoothing homotopy method for solving variational inequalities ⋮ A globally convergent non-interior point homotopy method for solving variational inequalities ⋮ Globally convergent method for designing twice spline contractual function

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