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- W2000264616 abstract "A real square matrix M is said to be a Q-matrix if the linear complementarity problem (q, M) has a solution for every vector q. There is, as yet, no characterization of Q-matrices which makes it easy to determine whether or not a given matrix is Q. Ideas from topology, in particular degreetheory, have previously been used to obtain sufficient conditions for when a matrix is Q. In this paper we will apply some other ideas from topology to give a homological characterization of Q-matrices. Continuing to borrow from topology, we define the nerve of a matrix which, along with our characterization, leads to an algorithm for checking whether or not a matrix is Q. This algorithm has smaller bounds on its worst-case time complexity than previous methods." @default.
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- W2000264616 date "1998-05-01" @default.
- W2000264616 modified "2023-09-26" @default.
- W2000264616 title "A Homological Characterization ofQ-Matrices" @default.
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- W2000264616 doi "https://doi.org/10.1287/moor.23.2.463" @default.
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