| A UNIFIED APPROACH TO THE METHOD OF GRADIENT PROJECTION WITH ARBITRARY INITIAL POINT |
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| 作者姓名： | 赖炎连 韦增欣 |
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| 作者单位： | Institute of Applied Mathematics Academia Sinica，Beijing 100080，China，Department of Mathematics，Guangxi University，Nanning 530004，China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China |
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| 摘 要： | In this paper,we present a family of gradient projection method with arbitrary initialpoint.The formula of search direction in the method is unitary.The convergent conditions ofthe method are given.When the initial point is feasible,the family of the method contains severalknown algorithms.When the initial point is infeasible,the method is exactly that given in6].Finally,we give a new method which has global convergence property.
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A UNIFIED APPROACH TO THE METHOD OF GRADIENT PROJECTION WITH ARBITRARY INITIAL POINT |
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| Lai Yanlian.A UNIFIED APPROACH TO THE METHOD OF GRADIENT PROJECTION WITH ARBITRARY INITIAL POINT[J].Journal of Systems Science and Complexity,1991(3). |
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| Authors: | Lai Yanlian |
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| Abstract: | In this paper,we present a family of gradient projection method with arbitrary initial
point.The formula of search direction in the method is unitary.The convergent conditions of
the method are given.When the initial point is feasible,the family of the method contains several
known algorithms.When the initial point is infeasible,the method is exactly that given in
6].Finally,we give a new method which has global convergence property. |
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| Keywords: | Gradient projection method arbitrary initial point penalty function unified approach family of method with parameters global convergence special case of algorithm |
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