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两组四元数线性矩阵方程组的解 被引量:2

General solutions to two pairs of quaternion matrix equations
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摘要 研究了两组线性四元数矩阵方程组有解的等价条件和解的表达式。 The purpose was to diseuss the general solution to the systems of quaternion matrix equations Xl A1= Cl, X2A2 = C2, A3 X1 Bl + A4 X2 B2 = Cb and A1 X1 = C1, X2 A2 = C2, A3 XL B1+ A4 X2 B2 = Ct, . Then the necessary and suffcient conditions for the existence and the expressions of the general solution to the systems mentioned above were obtained.
出处 《山东大学学报(理学版)》 CAS CSCD 北大核心 2008年第12期40-47,共8页 Journal of Shandong University(Natural Science)
基金 广西自然科学基金资助项目(06400161 0832084) 广西民族大学重大科研项目资助项目
关键词 线性方程组 等价条件 解的表达式 the system of matrix equations necessary and sufficient conditions expression of general solution
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参考文献4

  • 1WANG Q W, CHANG Haixia, LIN Chunyan. P-(skew) sysmmetric common solutions to a pair of quaternion matrix equations[J]. Appl Math Comput, 2008, 195:721-732. 被引量:1
  • 2WANG Q w. A system of matrix equations and a linear matrix equation over arbitray regular rings with identity[J]. Linear Algebra Appl, 2004, 384: 43-54. 被引量:1
  • 3MARSAGLIA G G, STYAN P H. Equalities and inequatilies for ranks of matrices[J]. Linear and Multihnear Algebra, 1974(2) :269- 292. 被引量:1
  • 4俞绍文.四元数体上矩阵代数[D].上海:上海大学,2005. 被引量:1

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