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Linear complementarity, linear and nonlinear programming
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The article was published on 1988-01-01 and is currently open access. It has received 1012 citations till now. The article focuses on the topics: Mixed complementarity problem & Complementarity theory.read more
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Journal ArticleDOI
Interior-point algorithms for monotone affine variational inequalities
M. Cao,Michael C. Ferris +1 more
TL;DR: In this paper, interior-point algorithms for affinne variational inequality were developed that exploit the particular structure of the problem, rather than direictly reducing the problem to a standard linear complemntarity problem.
Book ChapterDOI
A Non Overlapping Domain Decomposition Method for the Obstacle Problem
Samia Riaz,Daniel Loghin +1 more
TL;DR: A non-overlapping domain decomposition method for the obstacle problem that reduces the computational cost as the variational inequality is solved in a smaller region through coupling of the two subdomain solutions.
Book ChapterDOI
A Unified Framework for a Class of Mathematical Programming Problems
Dipti Dubey,S. K. Neogy +1 more
TL;DR: In this paper, the authors study various mathematical programming problems in a common framework known as linear complementarity problem and discuss matrix theoretic properties of some recent matrix classes encountered in linear completeness literature and its processability using Lemke's algorithm.
Book ChapterDOI
Interval Relaxation Method for Linear Complementarity Problem
TL;DR: This paper established an interval relaxation method for complementarity problems, which M is assumed to be an H-matrix with a positive main diagonal and the convergence of these algorithms are proved.
Optimization of Dynamic Aperture with Constraints on Linear Chromaticity
TL;DR: In this paper, a numerical technique to optimize dynamic aperture with constraints on linear chromaticity of optical functions is presented, where the variable range of tuning knobs is taken into account in order to make the technique applicable to practical use.