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A NEW GRADIENT PROJECTION METHOD AND ITS CONVERGENCE

A NEW GRADIENT PROJECTION METHOD AND ITS CONVERGENCE
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摘要 In this paper, by using a new projection, we construct a variant of Zhang’s algorithm and prove its convergence. Specially, the variant of Zhang’s algorithm has quadratic termination and superlinear convergence rale under certain conditions. Zhang’s algorithm hasn’t these properties. In this paper, by using a new projection, we construct a variant of Zhang's algorithm and prove its convergence. Specially, the variant of Zhang's algorithm has quadratic termination and superlinear convergence rale under certain conditions. Zhang's algorithm hasn't these properties.
作者 时贞军
基金 The subject is supported by Natural Science Foundation of China and Natural Science Foundation of Shandong Province.
关键词 linear CONSTRAINED optimization problem GRADIENT PROJECTION method GLOBALCONVERGENCE SUPERLINEAR CONVERGENCE rale. linear constrained optimization problem,gradient projection method,globalconvergence,superlinear convergence rale.
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