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广义(R,S)-对称矩阵

Generalized (R,S)-Symmetric Matrices
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摘要 引进了广义(R,S)-对称矩阵的概念,给出了广义(R,S)-对称矩阵A的精确表达式,据此将方程AX=V化成若干低阶方程来求解.给出了广义(R,S)-对称矩阵A的几类广义逆的表达式. The concept of generalized (R, S)-symmetric matrices is introduced. The precise expression of generalized (R,S)-symmetric matrices is given. Based on this the equation AX=V is reduced to some lower-order equations. The expressions of some kinds of the generalized inverse for the generalized (R,S)-symmetric matrices are given.
出处 《聊城大学学报(自然科学版)》 2007年第4期26-28,53,共4页 Journal of Liaocheng University:Natural Science Edition
基金 山东自然科学基金资助项目(2004ZX13)
关键词 k次单位矩阵 R-对称矩阵 广义(R S)-对称矩阵 广义逆 k degree identity matrix, R-symmetric matrix, generalized (R,S)-symmetric matrix, generalized inverse
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参考文献4

  • 1[1]ANDREW A L.Centrosymmetric matrices[J].SIAM.Review,1998,(40):697~698.
  • 2[2]TRENCH W F.Hermitian,Hermitian R-symmetric and Hermitian R-skew symmetric procrustes problems[J].Linear Algebra Appl.,2004,(387):83~98.
  • 3[3]TRENCH W F.Characterization and properties of matrices with genetalized symmetry or skewsymmetry[J].Linear Algebra Appl.,2004,(377):207~218.
  • 4[4]TRENCH W F.Minimization problems for (R,S)-symmetric and (R,S)-skew symmetric matrices[J].Linear Algebra Appm.,2004,(389):23~31.

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