Abstract
This paper is concerned with the existence and boundedness of the solutions to the linear complementarity problemw=Mz+q,w≥0,z≥0,w T z=0, for eachq∈ℝn. It has been previously established that, ifM is copositive plus, then the solution set is nonempty and bounded for eachq∈ℝn iffM is aQ-matrix. This result is shown to be valid also forL 2-matrices,P 0-matrices, nonnegative matrices, andZ-matrices.
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Danao, R.A. Q-matrices and boundedness of solutions to linear complementarity problems. J Optim Theory Appl 83, 321–332 (1994). https://doi.org/10.1007/BF02190060
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DOI: https://doi.org/10.1007/BF02190060