| 一类线性矩阵方程的三对角极小范数最小二乘解 |
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| 引用本文： | 顾友付,曾晓辉.一类线性矩阵方程的三对角极小范数最小二乘解[J].苏州市职业大学学报,2012,23(1):56-60. |
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| 作者姓名： | 顾友付 曾晓辉 |
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| 作者单位： | 江西应用工程职业学院基础部,江西萍乡,337042 |
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| 摘 要： | 根据三对角矩阵的几何特征，利用矩阵的Kronecker积和Moore—Penrose广义逆，给出一类线性矩阵方程的三对角极小范数最小二乘解的表达式．此外，还给出求解该问题的算法和算例．
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| 关 键 词： | 三对角矩阵 Kroneeker积 Moore—Penrose广义逆 极小范数解 最小二乘解 |
Least Squares Tridiagonal Solutions of A Series of Linear Matrix Equations with the Least Norm |
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| GU You-fu,ZENG Xiao-hui.Least Squares Tridiagonal Solutions of A Series of Linear Matrix Equations with the Least Norm[J].Journal of Suzhou Vocational University,2012,23(1):56-60. |
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| Authors: | GU You-fu ZENG Xiao-hui |
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| Institution: | (Department of Basic Education,Jiangxi Vocational College of Applied Engineering,Pingxiang 337042,China) |
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| Abstract: | According to the geometrical characteristics of the Tridiagonal matrix,we derive the expressions of the least squares tridiagonal solutions of a series of linear matrix equations with the least norm by using Moore-Penrose generalized inverse and the Kronecker product of matrices.In addition,a numerical example is used to show the feasibility of the numerical method. |
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| Keywords: | tridiagonal matrix the kronecker product Moore-Penrose generalized inverse least norm solution least squares solution |
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