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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.

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Non-linearity and non-smoothness in multi-body dynamics: Application to woodpecker toy

TL;DR: In this article, the authors presented a short historical overview of the modeling of multi-body dynamics with unilateral contacts and adapted the Pfeiffer and Glocker contact formulation to discretely defined body shapes.
Book ChapterDOI

Continuity of the Solution Set of Homogeneous Equilibrium Problems and Linear Complementarity Problems

TL;DR: In this article, it was shown that the map S is upper semicontinuous at (M, q) for every q ∈ ℝ n for linear complementarity problems in R 0-matrices.
Journal ArticleDOI

An algorithm to determine boundedness of quadratically constrained convex quadratic programmes

TL;DR: In this paper, the authors present an algorithm which can be used to determine whether or not a convex quadratic objective function is bounded from below over a feasible region defined by convex Quadratic constraints.
Book ChapterDOI

Modeling and optimal control of hybrid rigidbody mechanical systems

TL;DR: A measure differential inclusion (MDI) based modeling approach for rigidbody mechanical systems will be introduced, that can exhibit autonomous or controlled mode transitions, accompanied by discontinuities on velocity and acceleration level.
Journal ArticleDOI

Solvability of implicit complementarity problems

TL;DR: Based upon these notions and the topological degree theory, the feasibility and strictly feasibility of (ICP) in R^n and an infinite-dimensional Hilbert space H are studied and the second open problem (P2) proposed by Isac is partly answered.
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