| 伪Newton—B族的导出及其性质 |
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| 引用本文： | 赵云彬,段虞荣.伪Newton—B族的导出及其性质[J].应用数学与计算数学学报,1996,10(1):82-91. |
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| 作者姓名： | 赵云彬 段虞荣 |
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| 作者单位： | 中科院应用数学研究所，重庆大学 北京，100080，重庆，630049 |
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| 摘 要： | 本文对无约束优化问题提出了一类新的近似牛顿法（伪牛顿-B族）,此方法同样具有二次终止性,产生的矩阵序列保持正定对称传递性。并证明了算法的全局收敛性和超级性收敛性。
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| 关 键 词： | 伪Newton-B族 全局收敛性 超线性收敛性 |
Derivation and Property of Pesudo-Newton-N Class |
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| Zhao Yunbin.Derivation and Property of Pesudo-Newton-N Class[J].Communication on Applied Mathematics and Computation,1996,10(1):82-91. |
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| Authors: | Zhao Yunbin |
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| Abstract: | In this paper, a new Newton-like method (pesudo-Newton-B class) is presented for unconstrained optimization, this method possesses the property of finite convergence for quadratic function and the sequence of matrix updated by the method maitain sysmmetric and positive definite. The global convergence and superlinear convergence are proved. |
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| Keywords: | pesudo-newton-B class global convergence superlinear convergence |
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