The Matrix Equation AmnXnsBst=Cover an Arbitrary Skew Field

数学季刊 ›› 1998, Vol. 13 ›› Issue (3): 95-101.

The Matrix Equation A_mnX_nsB_st=Cover an Arbitrary Skew Field

Department of Basic Sciences,Shandong Finance College,Jinan,250014; Basic Science Department of Anyang University,Anyang,455000

收稿日期:1996-09-26 出版日期:1998-09-30 发布日期:2024-10-28

The Matrix Equation A_mnX_nsB_st=Cover an Arbitrary Skew Field

Department of Basic Sciences,Shandong Finance College,Jinan,250014; Basic Science Department of Anyang University,Anyang,455000

Received:1996-09-26 Online:1998-09-30 Published:2024-10-28

摘要/Abstract

摘要： The matrix equation A_mnX_nsB_st=Cover an arbitrary skew field is considered. A necessary and sufficient condition for the consistency and the expression for general solutions of the above mentioned matrix equation are presented.Moreover,a practical method of solving one is also given.

关键词: skew field, matrix equation, commutative matrix．

Abstract: The matrix equation A_mnX_nsB_st=Cover an arbitrary skew field is considered. A necessary and sufficient condition for the consistency and the expression for general solutions of the above mentioned matrix equation are presented.Moreover,a practical method of solving one is also given.

Key words: skew field, matrix equation, commutative matrix．

中图分类号:

O151

林春艳, 晏曾申. The Matrix Equation A_mnX_nsB_st=Cover an Arbitrary Skew Field[J]. 数学季刊, 1998, 13(3): 95-101.

Lin Chunyan, Yan Zengshen. The Matrix Equation A_mnX_nsB_st=Cover an Arbitrary Skew Field[J]. Chinese Quarterly Journal of Mathematics, 1998, 13(3): 95-101.

[1]	董昌州, 李浩雪. 矩阵方程的最小二乘{P,Q,k+1}-自反解[J]. 数学季刊, 2023, 38(2): 210-220.
[2]	张士君, 王世恒, 王珂. 耦合Lyapunov 矩阵方程的AOR迭代法[J]. 数学季刊, 2021, 36(2): 141-148.
[3]	曹南斌, 张玉平. 矩阵方程组AX=C;XB=D{P;k+1}-反射解的研究[J]. 数学季刊, 2018, 33(1): 32-42.
[4]	尤兴华, 马圣容, 颜世建. 矩阵方程AX+XB=C的显式解[J]. 数学季刊, 2009, 24(4): 516-524.
[5]	秦建国, 宋光艾. 任意除环上一矩阵方程组的一般解与中心和反中心对称解[J]. 数学季刊, 2006, 21(1): 66-70.
[6]	孙建平, 张艳娥, 王熙照 . Fuzzy矩阵方程Ax=b的解及其应用[J]. 数学季刊, 1999, 14(1): 16-21.
[7]	薛有才. 关于四元数矩阵方程AX=B的最小二乘解[J]. 数学季刊, 1997, 12(1): 87-90.
[8]	黄克明 . A Necessary and Sufficient Condition for Solvability of the Matrix Equation AXB+CYD=E Over an Arbitrary Skew Field[J]. 数学季刊, 1996, 11(4): 81-83.

The Matrix Equation A_mnX_nsB_st=Cover an Arbitrary Skew Field

The Matrix Equation A_mnX_nsB_st=Cover an Arbitrary Skew Field

PDF (PC)

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 8

编辑推荐

Metrics

本文评价