Results 31 to 40 of about 137 (132)
New error bounds for linear complementarity problems of Σ-SDD matrices and SB-matrices
A new error bound for the linear complementarity problem (LCP) of Σ-SDD matrices is given, which depends only on the entries of the involved matrices. Numerical examples are given to show that the new bound is better than that provided by García-Esnaola ...
Hou Zhiwu, Jing Xia, Gao Lei
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Iterative methods for nonlinear quasi complementarity problems
In this paper, we consider and study an iterative algorithm for finding the approximate solution of the nonlinear quasi complementarity problem of finding u ϵ k(u) such that where m is a point‐to‐point mapping, T is a (nonlinear) continuous mapping from a real Hilbert space H into itself and k*(u) is the polar cone of the convex cone k(u) in H. We also
Muhammad Aslam Noor
wiley +1 more source
Some new error bounds for the linear complementarity problems are obtained when the involved matrices are weakly chained diagonally dominant B-matrices. Numerical examples are given to show the effectiveness of the proposed bounds.
Sun Deshu, Wang Feng
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Joint location and pricing within a user-optimized environment
In the design of service facilities, whenever the behaviour of customers is impacted by queueing or congestion, the resulting equilibrium cannot be ignored by a firm that strives to maximize revenue within a competitive environment.
Teodora Dan +2 more
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We consider a new subgradient extragradient iterative algorithm with inertial extrapolation for approximating a common solution of variational inequality problems and fixed point problems of a multivalued demicontractive mapping in a real Hilbert space ...
Jolaoso Lateef Olakunle +3 more
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Continuity and maximal quasimonotonicity of normal cone operators
In this paper, we study some properties of the adjusted normal cone operator of quasiconvex functions. In particular, we introduce a new notion of maximal quasimotonicity for set-valued maps different from similar ones recently appeared in literature ...
BIANCHI, Monica +2 more
core +1 more source
A new smoothing method for solving nonlinear complementarity problems
In this paper, a new improved smoothing Newton algorithm for the nonlinear complementarity problem was proposed. This method has two-fold advantages. First, compared with the classical smoothing Newton method, our proposed method needn’t nonsingular of ...
Zhu Jianguang, Hao Binbin
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On the nonlinear implicit complementarity problem
International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 783-789, 1993.
A. H. Siddiqi, Q. H. Ansari
wiley +1 more source
A globally convergent algorithm for MPCC
We propose a penalty formulation based on the new regularization scheme for mathematical programs with complementarity constraints (MPCCs). We present an active set method which solves a sequence of penalty-regularized problems.
Abdeslam Kadrani +2 more
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The almost semimonotone matrices
A (strictly) semimonotone matrix A ∈ ℝn×n is such that for every nonzero vector x ∈ ℝn with nonnegative entries, there is an index k such that xk > 0 and (Ax)k is nonnegative (positive).
Wendler Megan
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