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  • 1
    Electronic Resource
    Electronic Resource
    Classes of functions and feasibility conditions in nonlinear complementarity problems (1974)
    Springer
    Mathematical programming 6 (1974), S. 327-338 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Given a mappingF from real Euclideann-space into itself, we investigate the connection between various known classes of functions and the nonlinear complementarity problem: Find anx * such thatFx * ⩾ 0 andx * ⩾ 0 are orthogonal. In particular, we study the extent to which the existence of au ⩾ 0 withFu ⩾ 0 (feasible point) implies the existence of a solution to the nonlinear complementarity problem, and extend, to nonlinear mappings, known results in the linear complementarity problem on P-matrices, diagonally dominant matrices with non-negative diagonal elements, matrices with off-diagonal non-positive entries, and positive semidefinite matrices.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01580248
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