王金林, 张帆. 一类矩阵方程的迭代解法[J]. 南昌航空大学学报(自然科学版), 2008, 22(1): 40-42.
引用本文: 王金林, 张帆. 一类矩阵方程的迭代解法[J]. 南昌航空大学学报(自然科学版), 2008, 22(1): 40-42.
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WANG Jin-lin, ZHANG Fan. Iterative solution to a class of matrix equation[J]. Journal of nanchang hangkong university(Natural science edition), 2008, 22(1): 40-42.
Citation: WANG Jin-lin, ZHANG Fan. Iterative solution to a class of matrix equation[J]. Journal of nanchang hangkong university(Natural science edition), 2008, 22(1): 40-42.
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一类矩阵方程的迭代解法

Iterative solution to a class of matrix equation

    摘要
  • 摘要: 利用Kronecker积、矩阵拉直运算以及线性方程组的迭代解法,给出了解矩阵方程A1X1B1+A2X2B2+…+AnXnBn=D的一种新的迭代方法,并给出了它的几种特殊形式.

     

    Abstract: Based on Kronecker product,the vector vec of matrix and the iteration method of linear equations,a new iteration to solve the matrix equation A1X1B1+A2X2B2+…+AnXnBn=D is constructed in this paper.Furthermore several particular forms of the form of iteration method is given.

     

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