Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  consider two applications of degree theory to linear complementarity problems. In the first application,  study the stability of an LCP at a solution point. Specifically  prove the stability of an LCP corresponding to a P0-matrix at an isolated solution. Using a recent degree formula due to Stewart 1991,  strengthen a stability result of Gowda and Pang 1992. In the second application,  use the same degree formula of Stewart to describe the number of solutions of LCPM, q when M is a negative almost N-matrix. This analysis leads to a Lipschitzian characterization of the solution map I¦: q â¦ SOLM, q corresponding to a nondegenerate negative matrix.
['M. Seetharama Gowda']
I am writing a research paper on a idea Applications of Degree Theory to Linear Complementarity Problems
[{"from": "human", "value": "I am writing a research paper on a idea Applications of Degree Theory to Linear Complementarity Problems"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: ,  consider two applications of degree theory to linear complementarity problems. In the first application,  study the stability of an LCP at a solution point. Specifically  prove the stability of an LCP corresponding to a P0-matrix at an isolated solution. Using a recent degree formula due to Stewart 1991,  strengthen a stability result of Gowda and Pang 1992. In the second application,  use the same degree formula of Stewart to describe the number of solutions of LCPM, q when M is a negative almost N-matrix. This analysis leads to a Lipschitzian characterization of the solution map I\u00a6: q \u00e2\u0086\u00a6 SOLM, q corresponding to a nondegenerate negative matrix."}]