On co-positive,semi-monotoneQ-matrices |
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| Authors: | G. S. R. Murthy T. Parthasarathy G. Ravindran |
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| Affiliation: | (1) Indian Statistical Institute, 143 Nungampakkam, High Road, 600034 Madras, India;(2) Indian Statistical Institute, 110 016 New Delhi, India;(3) Indian Statistical Institute, 8th Mile, Mysore Road, 560 059 Bangalore, India |
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| Abstract: | In this paper we consider not necessarily symmetric co-positive as well as semi-monotoneQ-matrices and give a set of sufficient conditions for such matrices to beR0-matrices. We give several examples to show the sharpness of our results. Construction of these examples is based on the following elementary proposition: IfA is a square matrix of ordern whose first two rows are identical and bothA11 andA22 areQ-matrices whereAii stands for the principal submatrix ofA obtained by deleting rowi and columni fromA, thenA is aQ-matrix.Dedicated to our colleague and friend B. Ramachandran on his sixtieth birthday.Corresponding author. |
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| Keywords: | Linear complementarity problem Co-positive Semi-monotone Q-matrix R0-matrix |
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