Necessary and sufficient conditions for the existence of complementary solutions and characterizations of the matrix classes Q and Q0.

Necessary and sufficient conditions for the existence of complementary solutions and characterizations of the matrix classes Q and Q0.

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Article ID: iaor1993308
Country: Netherlands
Volume: 51
Issue: 2
Start Page Number: 247
End Page Number: 255
Publication Date: Sep 1991
Journal: Mathematical Programming (Series A)
Authors:
Keywords: programming: mathematical
Abstract:

The paper simplifies a result by Mangasarian on the existence of solutions to the linear complementarity problem. The simplified condition gives a new geometric interpretation of the result. When used to characterize the matrix classes Q and Q0, the present condition suggests a finitely checkable sufficient condition for P and P0.

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