| 一类超线性收敛的投影非拟牛顿算法 |
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| 引用本文： | 焦宝聪,熊华.一类超线性收敛的投影非拟牛顿算法[J].首都师范大学学报(自然科学版),2002,23(2):9-14. |
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| 作者姓名： | 焦宝聪 熊华 |
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| 作者单位： | 首都师范大学数学系,北京,100037 |
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| 摘 要： | 本文将梯度投影与非拟牛顿法相结合，给出了一类求解线性约束非线性规划问题的新算法。在一定的条件下，证明了该算法的全局收敛性和超线性收敛性。
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| 关 键 词： | 非线性规划 非拟牛顿法 梯度投影法 超线性收敛性 全局收敛性 |
A Class of Superlinearly Convergent Projection Non-Quasi-Newton Algorithms |
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| Jiao Baocong Xiong Hua.A Class of Superlinearly Convergent Projection Non-Quasi-Newton Algorithms[J].Journal of Capital Normal University(Natural Science Edition),2002,23(2):9-14. |
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| Authors: | Jiao Baocong Xiong Hua |
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| Abstract: | In this paper,we will give a class of new algorithms for nonlinear programming problems with linear constaints by combining the gradient projection with non-quasi-Newton method.Its global convergence and the superlinear convergence are proved under suitable conditions. |
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| Keywords: | nonlinear programming non-quasi-Newton method gradient projection global and superlinearly convergence |
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