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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

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同被引文献18

  • 1刘晓冀,王志坚,刘三阳.四元数矩阵的加权广义逆[J].数学的实践与认识,2004,34(10):128-131. 被引量:3
  • 2QingWenWANG.A System of Four Matrix Equations over von Neumann Regular Rings and Its Applications[J].Acta Mathematica Sinica,English Series,2005,21(2):323-334. 被引量:9
  • 3贺治华,张旭峰,黎湘,庄钊文.一种GTD模型参数估计的新方法[J].电子学报,2005,33(9):1679-1682. 被引量:23
  • 4赵建立,李莹,张丽梅.四元数矩阵的OR分解及等式约束最小二乘问题[J].山东大学学报(理学版),2007,42(6):65-68. 被引量:1
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