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《Acta Mathematicae Applicatae Sinica》 1990-02
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A PERTURBED SUCCESSIVE QUADRATIC PROGRAMMING ALGORITHM AND ITS CONVERGENCE

Li Zong-yuan;Gong Jin-shuang Beijing University of Science and Technology Beijing College of Management of Petroleum  
In this paper, a successive quadratic programming algorithm for solving a nonlinear pro-gramming is introduced. Its specialty is that in each iteration of the algorithm, the constraintsof the quadratic programming not only are the linear approximations of the original constraints,but also have a perturbation vector. Under certain conditions its locally R-linear rate of con-vergence is proved. In the final part of the paper, the conditions of its superlinear conver-gence is discussed.
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