Pivoting in Linear Complementarity: Two Polynomial-Time Cases

We study the behavior of simple principal pivoting methods for the P-matrix linear complementarity problem (P-LCP). We solve an open problem of Morris by showing that Murty’s least-index pivot rule (under any fixed index order) leads to a quadratic number of iterations on Morris’s highly cyclic P-LC...

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Veröffentlicht in:	Discrete & computational geometry 2009-09, Vol.42 (2), p.187-205
Hauptverfasser:	Foniok, Jan, Fukuda, Komei, Gärtner, Bernd, Lüthi, Hans-Jakob
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Combinatorics Computational Mathematics and Numerical Analysis Geometry Mathematics Mathematics and Statistics Polynomials Theorems
Online-Zugang:	Volltext
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