| 关于不用导数的极小化算法的二阶收敛性 |
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| 引用本文： | 林福荣. 关于不用导数的极小化算法的二阶收敛性[J]. 曲阜师范大学学报, 1988, 0(3) |
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| 作者姓名： | 林福荣 |
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| 作者单位： | 复旦大学统计运筹系 |
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| 摘 要： | 本文对Toint和Callier(见[1],[2])的关于不用导数的共轭方向法的算法模型所得的某种超线性收敛性扩充为二阶收敛性,并研究了一维搜索的精度对收敛速率的影响.
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| 关 键 词： | Toint和Callier算法 共轭方向法 二阶收敛性 一维搜索的精度 收敛速率 |
On Quadratic Convergence of Methods for Function Minimization Without Calculating Derivatives |
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| Lin Furong. On Quadratic Convergence of Methods for Function Minimization Without Calculating Derivatives[J]. Journal of Qufu Normal University(Natural Science), 1988, 0(3) |
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| Authors: | Lin Furong |
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| Abstract: | Toint and Calliers' result, i.e.superlinear convergence of conjugate methods without calculating derivatives, is extended to quadratic convergence in this paher. Besides, for the purpose of convergence rate,the demand on the precision of the non-exact line search is studied. |
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| Keywords: | Toint and Callier Algorithm Conjugate Direction Method Quadratic Convergence The Precision of the Exact Line Search Convergence Rate |
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