# Linear complementarity, linear and nonlinear programming

About: The article was published on 1988-01-01 and is currently open access. It has received 993 citation(s) till now. The article focuses on the topic(s): Mixed complementarity problem & Complementarity theory.

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##### Citations

1,571 citations

1,002 citations

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850 citations

### Cites methods from "Linear complementarity, linear and ..."

...Hence a quick way to specify an LTI system described by the state-update equation x(t+1) = Ax(t)+Bu(t) is to use sys = LTISystem(’A’, A, ’B’, B) Such a syntax conveniently allows to specify autonomous systems as well....

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722 citations

### Cites methods from "Linear complementarity, linear and ..."

...When Mx is not full rank, the weights can be estimated using quadratic programming optimization [27]....

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657 citations

### Cites methods from "Linear complementarity, linear and ..."

...Then without the nonnegativity constraint, the SOR method can be compactly written [47]: i+1 = (1 !) i + !D 1(A0 1y L0 i L i+1);...

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...A detailed discussion of +SOR is given in [47,40], so we only summarize the algorithm here....

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