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Abstract
The topological degree theory is applied to study the problem of existence of solutions to the semi-definite complementarity problem (SDCP). A notion of an exceptional family of matrices is introduced, and assertions of a non-strict alternative type are obtained. Namely, for a continuous mapping, there exists at least one of the following two items: either a solution to the SDCP, or an exceptional family of matrices. Hence, if there is no exceptional family, then at least one solution exists
*This work was financially supported by the Russian Foundation of Basic Research (RFBR), Grant No. 96-15-98624, No. 00-01-00404
*This work was financially supported by the Russian Foundation of Basic Research (RFBR), Grant No. 96-15-98624, No. 00-01-00404
Notes
*This work was financially supported by the Russian Foundation of Basic Research (RFBR), Grant No. 96-15-98624, No. 00-01-00404