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计算数学  1981 

THE GRADIENT PROJECTION DESCENT ALGORITHMS
梯度投影下降算法

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Abstract:

This paper considers the optimization problems with equality constraints. A newidea for constructing algorithms of the gradient projection type is presented. By meansof this idea, the gradient projection restoration, gradient projection Newton and con-jugate gradient projection restoration algorithms are constructed. For these algor-ithms, we also give the theorems of global convergence and the rates of termination con-vergence.

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