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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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Journal ArticleDOI

Linear complementarity problem: A novel approach to design finite-impulse response wavefield extrapolation filters

TL;DR: In this article, the problem of complex valued finite impulse response (FIR) wavefield extrapolation filter design was considered as a linear complementarity problem (LCP), which is not an optimization technique because there is no objective function to optimize; however, quadratic programming, one of the applications of LCP, can be used to find an optimal solution.
Dissertation

Nonnegative matrix and tensor factorizations, least squares problems, and applications

TL;DR: An accelerated block principal pivoting method is proposed to solve the NLS problems, thereby significantly speeding up the NMF and NTF computation and proposing mixed-norm regularization to promote group-level sparsity.
Journal ArticleDOI

Parallel and Serial Successive Overrelaxation for Multicommodity Spatial Price Equilibrium Problems

TL;DR: The SOR approach is shown empirically to converge for nonsymmetric problems and a parallel implementation based on the same neglect is shown to exhibit encouraging average speedup over the single processor case.
Journal ArticleDOI

Counting unique-sink orientations

TL;DR: This work summarizes old and shows new lower and upper bounds on the sizes of some classes of USOs that are of interest in connection with the linear complementarity problem and provides a characterization of K-matrices in terms of their corresponding USOs.
Journal ArticleDOI

Dynamics of spatial structure-varying rigid multibody systems

TL;DR: In this paper, the contact forces occurring at active constraints are taken into account in the equations of motion as Lagrange multipliers, and the kinematic conditions of all active constraints were formulated on the acceleration level.
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