| HR分解的精化扰动界（英文） |
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| 引用本文： | 赖降周,卢琳璋.HR分解的精化扰动界（英文）[J].数学研究,2012(3):263-270. |
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| 作者姓名： | 赖降周 卢琳璋 |
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| 作者单位： | 福州大学数学与计算机科学学院;贵州师范大学数学与计算机科学学院;厦门大学数学科学学院 |
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| 基金项目： | supported by NSFC(10961010/A01 1705,11101087);theScientific Research Fund of Fujian Provincial Education Department(JA11034);the Scientific Research Starting Foundation of Fuzhou University(022427) |
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| 摘 要： | 给出了HR分解的分量型和范数型的一阶扰动界.对于范数型,新的精化扰动界至少优于已有结果,特别的,新的关于R因子的扰动界远远优于已有的扰动界.
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| 关 键 词： | 条件估值 HR分解 扰动分析 |
Refined Perturbation Bounds for the HR Decomposition |
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| Lai Jiangzhou,Lu Linzhang.Refined Perturbation Bounds for the HR Decomposition[J].Journal of Mathematical Study,2012(3):263-270. |
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| Authors: | Lai Jiangzhou Lu Linzhang |
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| Institution: | 1.School of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108; 2.School of Mathematics and Computer Science,Guizhou Normal University,Guiyang,Guizhou 550001 and School of Mathematical Sciences,Xiamen University,Xiamen Fujian 361005) |
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| Abstract: | In the paper first-order componentwise and normwise perturbation bounds for the HR decomposition are presented.The new normwise bounds are at least as good as previously known results.In particular,for the R factor,the normwise bound can be significantly tighter than the previous result. |
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| Keywords: | condition estimation HR decomposition perturbation analysis |
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