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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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Book ChapterDOI

Complementarity Problems. Origins and Definitions

TL;DR: The Complementarity Theory has become a fruitful new domain in applied mathematics as discussed by the authors, with its applications in optimization, economics, engineering, mechanics, elasticity, and game theory.
Book ChapterDOI

Nonsmooth Computational Mechanics

TL;DR: In this Chapter nonsmooth computational mechanics algorithms are proposed and studied based on the quasidifferentiable and codifferentiable optimization algorithms, discussed thoroughly in Chapter 6.
Proceedings ArticleDOI

Solving the linear complementarity problem for Stieltjes matrix with interval data

TL;DR: An efficient algorithm to solve the linear complementarity problem of Stieltjes matrix with interval data has monotonicity property and cost estate of the algorithm is equivalent to twice calculating of the ordinary without interval data.
Journal Article

A direct orthogonal sparse static methodology for a finite continuation hybrid LP solver

TL;DR: A direct sparse orthogonalization methodology based on Givens rotations and a static sparsity data structure is proposed for both phases, with a Linpack-like downdating without resorting to hyperbolic rotations.
Posted Content

Stability of the linear complementarity problem properties under interval uncertainty

TL;DR: In this article, the robust properties of interval matrices are investigated for the linear complementarity problem with uncertain data modeled by intervals, representing the range of possible values of the data.
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