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Completely- matrices |
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| Authors: | Richard W Cottle |
| Institution: | 1. Stanford University, Stanford, CA, USA |
| Abstract: | A matrix is a real square matrixM such that for everyq the linear complementarity problem: Findw andz satisfyingw = q + Mz, w ≥ 0, z ≥ 0, w T z = 0, has a solution. We characterize the class of completely- matrices, defined here as the class of -matrices all of whose nonempty principal submatrices are also -matrices. |
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