| An Inexact Halley＇s Method |
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| 引用本文： | 闫桂峰,田祥.An Inexact Halley＇s Method[J].北京理工大学学报(英文版),2005,14(3):340-343. |
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| 作者姓名： | 闫桂峰 田祥 |
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| 作者单位： | [1]School of Science, Beijing Institute of Technology, Beijing 100081, China |
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| 基金项目： | Sponsored by the Basic Research Foundation of Beijing Institute of Technology （200307A21）. |
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| 摘 要： | An inexact Halley＇s method-Halley-PCG（preconditioned conjugate gradient） method is proposed for solving the systems of linear equations for improved Halley method either by Cholesky factorization exactly or by preconditioned conjugate gradient method approximately. The convergence result is given and the efficiency of the method compared to the improved Halley＇s method is shown.
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| 关 键 词： | Halley方法 预处理变化梯度 不精确性 优化处理 |
| 文章编号： | 1004-0579（2005）03-0340-04 |
| 收稿时间： | 2004-02-16 |
An Inexact Halley's Method |
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| YAN Gui-feng,TIAN Xiang.An Inexact Halley''s Method[J].Journal of Beijing Institute of Technology,2005,14(3):340-343. |
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| Authors: | YAN Gui-feng TIAN Xiang |
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| Affiliation: | School of Science, Beijing Institute of Technology, Beijing 100081, China |
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| Abstract: | An inexact Halley's method-Halley-PCG(preconditioned conjugate gradient) method is proposed for solving the systems of linear equations for improved Halley method either by Cholesky factorization exactly or by preconditioned conjugate gradient method approximately. The convergence result is given and the efficiency of the method compared to the improved Halley's method is shown. |
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| Keywords: | unconstrained optimization problems improved Halley's method preconditioned conjugate gradient method |
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