利用F-B函数,建立了边界满足法锥条件时非凸非线性优化问题的同伦方程,给出了同伦路径的存在性、有界性和收敛性的证明。用预估校正法跟踪同伦路径,数值算例验证了同伦算法的可行性和有效性
With F-B function,a homotopy formula is established for the non-convex nonlinear optimization under normal cone condition.We prove the existence,boundence and convergence of the homotopy path.The path is tracked by the predictor-corrector algorithm and the numerical example shows that it is feasible and effective.