| 一种新的求解无约束优化问题的非精确线性搜索方法 |
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| 引用本文： | 吕长青. 一种新的求解无约束优化问题的非精确线性搜索方法[J]. 高师理科学刊, 2009, 29(1). DOI: 10.3969/j.issn.1007-9831.2009.01.004 |
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| 作者姓名： | 吕长青 |
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| 作者单位： | 枣庄学院,数学与信息科学系,山东,枣庄,277160 |
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| 摘 要： | 提出了一种新的求解无约束优化问题的非精确线性搜索方法,该方法与Armijo线性搜索类似,并且是Armijo线性搜索的推广.其特点是每次迭代可以使目标函数下降量更大,从而可以减少迭代次数.在较弱的条件下,证明了Zoutendijk条件.
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| 关 键 词： | 无约束优化 Armijo线性搜索法 Zoutendijk条件 |
A new inexact line search method for unconstrained optimization problems |
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| Lü Chang-qing. A new inexact line search method for unconstrained optimization problems[J]. Journal of Science of Teachers＇College and University, 2009, 29(1). DOI: 10.3969/j.issn.1007-9831.2009.01.004 |
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| Authors: | Lü Chang-qing |
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| Affiliation: | Department of Mathematics and Information Science;Zaozhuang University;Zaozhuang 277160;China |
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| Abstract: | Proposed a new inexact line search method for the unconstrained optimization problems.The new method is similar to the Armijo line search rule and contains it as a special case.At each iteration,the objective function can reduce more than usual methods and theiteration times can be reduced.Under mild conditions,the Zoutendijk condition is proved. |
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| Keywords: | unconstrained optimization Armijo line search rule Zoutendijk condition |
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