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Article
Inexact algorithm for continuous complementarity problems on measure spaces
In this paper, we discuss a type of complementarity problem posed over a measure space. We give some conditions under which there exists a solution for the problem and work toward a new inexact algorithm for i...
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Article
A globally convergent Newton method for convex SC1 minimization problems
This paper presents a globally convergent and locally superlinearly convergent method for solving a convex minimization problem whose objective function has a semismooth but nondifferentiable gradient. Applica...
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Article
Solution differentiability and continuation of Newton's method for variational inequality problems over polyhedral sets
In this paper, we derive some further differentiability properties of solutions to a parametric variational inequality problem defined over a polyhedral set. We discuss how these results can be used to establi...
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Article
More results on the convergence of iterative methods for the symmetric linear complementarity problem
In an earlier paper, the author has given some necessary and sufficient conditions for the convergence of iterative methods for solving the linear complementarity problem. These conditions may be viewed as glo...
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Article
Necessary and sufficient conditions for the convergence of iterative methods for the linear complementarity problem
Necessary and sufficient conditions are established for the convergence of various iterative methods for solving the linear complementarity problem. The fundamental tool used is the classical notion of matrix ...
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Article
On the convergence of a basic iterative method for the implicit complementarity problem
In Part 1 of this study (Ref. 1), we have defined the implicit complementarity problem and investigated its existence and uniqueness of solution. In the present paper, we establish a convergence theory for a c...