| 一类矩阵方程最小二乘问题的LSQR方法 |
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| 引用本文： | 胡善瑞,王明辉,田保光. 一类矩阵方程最小二乘问题的LSQR方法[J]. 枣庄师专学报, 2011, 28(2): 51-56 |
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| 作者姓名： | 胡善瑞 王明辉 田保光 |
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| 作者单位： | 青岛科技大学,数理学院,山东,青岛,266061 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 讨论了对称斜反对称矩阵的结构,应用LSQR方法求解最小二乘问题‖XTAX-B‖=min（A为待求对称斜反对称矩阵）,并给出了相应的算法及数值例子.
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| 关 键 词： | 对称斜反对称矩阵 LSQR方法 最小二乘问题 矩阵拉直 |
The LSQR Method to the Least-square Problem of a Class of Matrix Equation |
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| HU shan-rui,WANG Ming-hui,TIAN Bao-guang. The LSQR Method to the Least-square Problem of a Class of Matrix Equation[J]. Journal of Zaozhuang Teachers' College, 2011, 28(2): 51-56 |
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| Authors: | HU shan-rui WANG Ming-hui TIAN Bao-guang |
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| Affiliation: | HU shan- rui WANG Ming- hui TIAN Bao- guang (College of Mathematical and Physical Sciences, Qingdao University of Science ＆ Technology, Qingdao 266061, China) |
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| Abstract: | The structure of anti - symmetric and skew - symmetric matrix is discussed. The LSQR method is applied to solve the least -square problem II XTAX -B II = min（where A is a anti -symmetric and skew -symmetric matrix） and the corresponding arithmetic together with some numerical examples are given. |
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| Keywords: | anti -symmetric and skew -symmetric matrix the I.SQR method least- square problem matrix straighten |
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