A algorithm is gived by using positive basis, which are relevant to nonlinear constrained programming. The new algorithm does not need linear programming problem to be soved in every iterative step and it is easy to implement. The global convergence is also proved.
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姚有林. 基于正基算法的收敛性研究[J]. 科学技术与工程, 2007, (10): 2195-21962216. YAO You-lin. Research for Convergence of Algorithm Based on Positive Basis[J]. Science Technology and Engineering,2007,(10):2195-21962216.