| SOLVING SYMMETRIC MONOTONE LINEAR VARIATIONAL INEQUALITIES BY SOME MODIFIED LEVITIN-POLYAK PROJECTION METHODS |
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| 作者姓名： | GAOYI |
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| 作者单位： | DepartmentofMathematics,NanjingUniversity,Nanking210093 |
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| 摘 要： | Some modified Levitin-Polyak projection methods are proposed in this paper for solving monotone linear variational inequality x∈Ω，（x′-x)^T(Hx c)≤0，for any x′∈Ω.It is pointed out that there are similar methods for solving a general linear variational inequality.
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| 关 键 词： | 对称单调线性 变量不等性 投影法 半定矩阵 凸集 |
| 收稿时间： | 17 March 1997 |
Solving symmetric monotone linear variational inequalities by some modified Levitin-Polyak projection methods |
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| GAOYI.SOLVING SYMMETRIC MONOTONE LINEAR VARIATIONAL INEQUALITIES BY SOME MODIFIED LEVITIN-POLYAK PROJECTION METHODS[J].Applied Mathematics A Journal of Chinese Universities,1998,13(2):150-158. |
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| Authors: | Gao Yi |
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| Institution: | (1) Department of Mathematics, Nanjing University, 210093 Nanjing |
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| Abstract: | Some modified Levitin-Polyak projection methods are proposed in this paper for solving monotone linear variational inequality
x ε Ω,(x-x)T(hx+c+ c)≤0, ∀x ε Ω. It is pointed out that there are similar methods for solving a general linear variational inequality.
This research is supported by the National Natural Science Foundation of China (19671041) and the Natural Science Foundation
of Jiangsu Province. |
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| Keywords: | Variational inequality projection mathod self-adaptive method |
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