The linear complementarity problem (LCP) is one of the most widely studied mathematical programming problems. The theory of LCP can be extended to oriented matroids which are combinatorial abstractions of linear subspaces of Euclidean spaces. This paper briefly surveys the LCP, oriented matroids and algorithms for the LCP on oriented matroids.
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Akihisa TAMURA, "The Linear Complementarity Problem on Oriented Matroids" in IEICE TRANSACTIONS on Information,
vol. E83-D, no. 3, pp. 353-361, March 2000, doi: .
Abstract: The linear complementarity problem (LCP) is one of the most widely studied mathematical programming problems. The theory of LCP can be extended to oriented matroids which are combinatorial abstractions of linear subspaces of Euclidean spaces. This paper briefly surveys the LCP, oriented matroids and algorithms for the LCP on oriented matroids.
URL: https://global.ieice.org/en_transactions/information/10.1587/e83-d_3_353/_p
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@ARTICLE{e83-d_3_353,
author={Akihisa TAMURA, },
journal={IEICE TRANSACTIONS on Information},
title={The Linear Complementarity Problem on Oriented Matroids},
year={2000},
volume={E83-D},
number={3},
pages={353-361},
abstract={The linear complementarity problem (LCP) is one of the most widely studied mathematical programming problems. The theory of LCP can be extended to oriented matroids which are combinatorial abstractions of linear subspaces of Euclidean spaces. This paper briefly surveys the LCP, oriented matroids and algorithms for the LCP on oriented matroids.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - The Linear Complementarity Problem on Oriented Matroids
T2 - IEICE TRANSACTIONS on Information
SP - 353
EP - 361
AU - Akihisa TAMURA
PY - 2000
DO -
JO - IEICE TRANSACTIONS on Information
SN -
VL - E83-D
IS - 3
JA - IEICE TRANSACTIONS on Information
Y1 - March 2000
AB - The linear complementarity problem (LCP) is one of the most widely studied mathematical programming problems. The theory of LCP can be extended to oriented matroids which are combinatorial abstractions of linear subspaces of Euclidean spaces. This paper briefly surveys the LCP, oriented matroids and algorithms for the LCP on oriented matroids.
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