| 一个Powell类型的新算法及其分析 |
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| 引用本文： | 张树中.一个Powell类型的新算法及其分析[J].曲阜师范大学学报,1988(3). |
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| 作者姓名： | 张树中 |
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| 作者单位： | 复旦大学统计运筹系 |
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| 摘 要： | 本文提出了一个不用导数的Powell类型新算法。该算法针对无约束非线性规划问题,它具有二次终结性以及整体收敛性。本文证明了:对于一致凸的目标函数,新算法每经过n~2次一维搜索后是二阶收敛的。
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| 关 键 词： | Powell类型的新算法 二次终结性 整体收敛性 |
A New Powell-Type Algorithm and its Analysis |
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| Zhang Suzhong.A New Powell-Type Algorithm and its Analysis[J].Journal of Qufu Normal University(Natural Science),1988(3). |
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| Authors: | Zhang Suzhong |
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| Affiliation: | Zhang Suzhong |
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| Abstract: | In this paper, a new Powell-type algorithm is porposed without derivative. Being directed at unconstrained nonlinear programming problem, it has quadratic conclusive property and entire convergence. And proof is given : To the objective function of consistent convexity the new algorithm is quadratic convergence through the n~2 line searches at every. |
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| Keywords: | New Powell-Type Algorithm Quadratic conclusive Property Entire Convergence |
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