期刊文献+

一类二元矩阵方程组解的讨论

Discussion on Solution of a Class of Binary Matrix Equations
下载PDF
导出
摘要 研究一类系数矩阵相互交错的二元复矩阵方程组,给出其有解的充要条件和适当定义的最优近似解,并给出一个应用背景的实例. This paper studies a class of binary complex matrix equations, the coefficient matrix of which is mutually alternative. It also gives the necessary and sufficient condition under which its solution exists and proper defined optimal approximate solution. Finally, it gives an instance under the applied background.
作者 李桂荣
机构地区 德州学院数学系
出处 《德州学院学报》 2008年第2期18-21,共4页 Journal of Dezhou University
关键词 最优近似解 相容 范数 最小二乘解 optimal approximate solution consistence norm least squares solution
  • 相关文献

参考文献5

二级参考文献12

  • 1Mitra S K. The matrix equation AX = C,XB = D [J]. Linear Algebra Appl. , 1984,59:171-181.
  • 2Mitra S K. A pair of simultaneous linear matrix equations A1XB1 = C1 ,AzXBz =- C2 and a matrix programming problem[J]. Linear Algebra Appl. , 1990,131 : 107- 123.
  • 3Tian Y. The minimal rank of the matrix expression A - BX - YC [J]. Missouri. J. Math. Sci. , 2002,14: 40-48.
  • 4Tian Y. Ranks of solutions of the matrix equation AXB = C [J]. Linear and Multilinear Algebra,2003, 51:111- 125.
  • 5Tian Y. Upper and lower bounds for ranks of matrix expressions using generalized inverses[J]. Linear Algebra Appl. , 2002,355 : 187-214.
  • 6Tian Y. The maximal and minimal ranks of some expressions of generalized inverses of matrices[J]. Southeast Asian Bull. Math. , 2002,25 : 745 - 755.
  • 7Tian Y,Cheng S. The maximal and minimal ranks of A - BXC with applications[J]. New York J. Math. ,2003,9:345-362.
  • 8Uhlig F. On the matrix equation AX = B with applications to the generators of controllability matrix[J]. Linear Algebra Appl. , 1987,85 : 203-209.
  • 9Navarra A,Odell P L,Young D M. A representation of the general common solution to the matrix equations A1XB1 = C1 and A2XB2 = C2 with applications[J]. Computers Math. Appl. , 2001,41 (7-8) : 929-935.
  • 10Wang Q. The general solution to a system of real quaternion matrix equations[J]. Computers Math. Appl. ,2005,49(5-6) :665-675.

共引文献69

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部