[PDF][PDF] Homogeneous algorithms for monotone complementarity problems over symmetric cones

吉瀬章子, ヨシセアキコ - 2008 - tsukuba.repo.nii.ac.jp
Abstract In [24], the author proposed a homogeneous model for standard monotone
nonlinear complementarity problems over symmetric cones and show that the following
properties hold:(a) There is a path that is bounded and has a trivial starting point without any
regularity assumption concerning the existence of feasible or strictly feasible solutions.(b)
Any accumulation point of the path is a solution of the homogeneous model.(c) If the original
problem is solvable, then every accumulation point of the path gives us a finite solution.(d) If …
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