Existence theory and Q-matrix characterization for the generalized linear complementarity problem: Revisited |
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| Authors: | Aniekan Ebiefung |
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| Institution: | Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37403, USA |
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| Abstract: | We provide conditions under which a vertical block matrix is a Q-matrix if one or all representative sub-matrices are Q-matrices and vice versa. It is also shown, by means of counterexamples, that Eq. (3) of A.A. Ebiefung, Existence theory and Q-matrix characterization for the generalized linear complementarity problem, Linear Algebra Appl. 223/224 (1995) 155-169] is incorrect. |
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| Keywords: | Complementarity problems Q-Matrices Existence of solutions Mathematical programming Representative sub-matrices |
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