How to project onto an isotone projection cone

DOI10.1016/j.laa.2010.02.008zbMath1190.90242OpenAlexW2042692551MaRDI QIDQ972779

B. E. Eshmatov

Publication date: 21 May 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.02.008

zbMATH Keywords

metric projectionisotone mappingnonlinear complementarityisotone regression

Mathematics Subject Classification ID

Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (16)

Generalized isotone projection cones ⋮ Implicit complementarity problems on isotone projection cones ⋮ A geometrical approach to iterative isotone regression ⋮ Isotonicity of the metric projection by Lorentz cone and variational inequalities ⋮ Closed-Form Expressions for Projectors onto Polyhedral Sets in Hilbert Spaces ⋮ Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces ⋮ Finding solutions of implicit complementarity problems by isotonicity of the metric projection ⋮ Generalized projections onto convex sets ⋮ A duality between the metric projection onto a convex cone and the metric projection onto its dual ⋮ Lattice-like operations and isotone projection sets ⋮ The distance between convex sets with Minkowski sum structure: application to collision detection ⋮ Characterization of the Cone and Applications in Banach Spaces ⋮ A semi-smooth Newton method for a special piecewise linear system with application to positively constrained convex quadratic programming ⋮ Projection onto simplicial cones by a semi-smooth Newton method ⋮ The behavior of Jurík's nearest point approach algorithm on some 3-dimensional problems ⋮ Projection onto simplicial cones by Picard's method

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• Projection methods, isotone projection cones, and the complementarity problem
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• A method of projection onto an acute cone with level control in convex minimization
• Every generating isotone projection cone is latticial and correct
• Inequalities characterizing coisotone cones in Euclidean spaces
• Iterative methods for nonlinear complementarity problems on isotone projection cones
• Dykstra's algorithm with strategies for projecting onto certain polyhedral cones
• Matrix Analysis
• The rate of convergence of dykstra's cyclic projections algorithm: The polyhedral case

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