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  • Semi-monotone  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 68 (1995), S. 187-203 
    ISSN: 1436-4646
    Keywords: Linear complementarity problem ; Co-positive ; Semi-monotone ; Q-matrix ; R 0-matrix
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: 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 beR 0-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 bothA 11 andA 22 areQ-matrices whereA ii stands for the principal submatrix ofA obtained by deleting rowi and columni fromA, thenA is aQ-matrix.
    Type of Medium: Electronic Resource
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