| 基于QR分解的线性方程组Ax=b解的结构 |
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| 引用本文： | 周玉兴,涂火年,区丽云.基于QR分解的线性方程组Ax=b解的结构[J].海南大学学报(自然科学版),2013(4):289-291,294. |
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| 作者姓名： | 周玉兴 涂火年 区丽云 |
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| 作者单位： | [1]广西师范学院师园学院,广西南宁530226 [2]广西财经学院信息与统计学院,广西南宁530003 |
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| 基金项目： | 国家自然科学基金项目（11161004）;广西自然基金项目（2011GXNSFA018139） |
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| 摘 要： | 基于QR分解，运用列正交矩阵的定义和最小二乘广义逆的定义，得到线性方程组Ax=b解的几个性质．
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| 关 键 词： | 列正交 QR分解 最小二乘 |
Structure of Solutions of Linear Equations Ax = b Based on QR Decomposition |
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| ZHOU Yu-xing,TU Huo-nian,OU Li-yun.Structure of Solutions of Linear Equations Ax = b Based on QR Decomposition[J].Natural Science Journal of Hainan University,2013(4):289-291,294. |
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| Authors: | ZHOU Yu-xing TU Huo-nian OU Li-yun |
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| Institution: | 1 ( 1. College of Shiyuan, Guangxi Teachers Education University, Nanning 530226, China; 2. College of Information ＆ Statistics, Guangxi University of Finance and Economics, Nanning 530003, China) |
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| Abstract: | Based on QR decomposition, the definition of olumn orthogonal matrix and least-squares generalized inverse were used, and several properties of linear equations A_x = b solutions were obtained. |
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| Keywords: | column orthonormal QR decomposition least squares |
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