Through the classic Lemke complementarity algorithm shaft containing the convex equality constrained quadratic programming problem of the analysis, we found by the linear complementarity problem (lcp) may be degraded. Algorithm by Lemke (lcp) of the iterative process of questions, through the six propositions that contain equality constraints of convex quadratic programming problem corresponding to (lcp) questions the reasons for degradation of the classic Lemke algorithm iterative process amendments put forward an improved Lemke algorithm can effectively containing english convex equality constrained quadratic programming problem of the optimal solution.

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