A quadratically
convergent long-step interior-point method for nonlinear
monotone variational inequality problems
Jie Sun and Gongyun Zhao
This paper offers an analysis for a standard long-step primal-dual
interior point method for general monotone variational inequality problems.
The method has polynomial-time complexity and its $q$-order of
convegence is two. The results are proved under mild assumptions.
In particular, new conditions on the invariance of column rank and
range space of certain matrices are employed, rather than more restrictive
assumptions like nondegeneracy.
Technical Report, April, 1996.
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