Titlebook: Complementarity and Fixed Point Problems; M. L. Balinski,R. W. Cottle Book 1978Latest edition Springer-Verlag Berlin Heidelberg 1978 algor

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farewell

On the parametric nonlinear complementarity problem,cient and necessary conditions for the monotonicity of such a continuation are given. The notions of strong and uniform monotonicity, originated in the linear theory, are discussed, and the theorems of the lincar theory are generalized.

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Improving the convergence of fixed-point algorithms,ngulation introduced in an earlier paper, we obtain results suggesting that orthogonal projections of regular triangulations of .. may be preferable to the standard triangulations of an .-simplex. Two special features of the restart method are that the starting point can be controlled and that the c

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On the homotopic approach to systems of equations with separable mappings,continuous and . is an .-dimensional polyhedron. This paper deals with the case where the mapping . is separable, and gives two kinds of piecewise linear homotopies with some separable structure. Comparisons in this paper confirm that the separable homotopies will bring about much increase of comput

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,Robust implementation of Lemke’s method for the linear complementarity problem,od for recovering from loss of feasibility or singularity of the basis. This recovery method is valid for both positive semi-definite . matrices and those with positive principal minors. It also allows a user to start from an advanced basis for such problems.

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Ronelle Hewetson,Petrea Cornwellst complementary” pivots—i.e., retaining ....=0; .=1,2,…,.) on the system: .Mainly we are considering . such that when . admits non-negative (feasible) solutions to ., the sequence of AC-pivots from (2) which retains (2)-feasibility yields a solution to (1) (i.e., terminates in ..=0, rather than in

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