A new stepsize rule in He and Zhou's alternating direction method

DOI10.1016/S0893-9659(01)00115-XzbMath0995.49007WikidataQ59297294 ScholiaQ59297294MaRDI QIDQ1609450

Deren Han, Hong Kam Lo

Publication date: 15 August 2002

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

alternating direction methodmonotone linear variational inequality problems

Mathematics Subject Classification ID

Minimax problems in mathematical programming (90C47) Quadratic programming (90C20) Variational inequalities (49J40)

Related Items (10)

An extended alternating direction method for variational inequality problems with linear equality and inequality constraints ⋮ A new decomposition method for variational inequalities with linear constraints ⋮ Two new self-adaptive descent methods without line search for co-coercive structured variational inequality problems ⋮ New decomposition methods for solving variational inequality problems. ⋮ A proximal decomposition algorithm for variational inequality problems. ⋮ A new alternating direction method for solving variational inequalities ⋮ A projection-based prediction-correction method for structured monotone variational inequalities ⋮ A new alternating direction method for co-coercive variational inequality problems ⋮ An alternating direction method for general variational inequalities ⋮ A simple self-adaptive alternating direction method for linear variational inequality problems

Cites Work

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• A projection and contraction method for a class of linear complementarity problems and its application in convex quadratic programming
• A dual algorithm for the solution of nonlinear variational problems via finite element approximation
• Solving a class of linear projection equations
• A new method for a class of linear variational inequalities
• Network economics: a variational inequality approach
• A modified alternating direction method for convex minimization problems
• A class of projection and contraction methods for monotone variational inequalities
• On the basic theorem of complementarity

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