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分块对角矩阵的加权广义逆 被引量:1

The Weighted Generalized Inverses of a Partitioned Diagonal Martrixs
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摘要 本文用统一的方法给出形如A={U00V}的分块对角矩阵的加权广义逆AM+N,和极小范数广义逆A(1,4N)的分块表达式。 A unified method was introduced to obtain some partitioned expressions of the weighted generalized inverses A+MN,and the minimum norm generalized inverses A(1,4N) for a block diagonal matrix A=(U00V).
作者 刘声 何淦瞳
机构地区 贵州大学理学院
出处 《贵州大学学报(自然科学版)》 2010年第4期19-21,共3页 Journal of Guizhou University:Natural Sciences
关键词 加权广义逆 最小二乘解 分块对角矩阵 weighted generalized inverses Least-squares solution block diagonal Martrix
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参考文献5

  • 1Guorong Wang, Bing Zheng. The weighted generalized inverses of a partitioned matrix [J]. Applied Mathematics and Computation ,2004(155) :221 - 233.
  • 2A Ben - Israel, T N E Greville. Generalized Inverses: Theory and Application [ M ]. New York : Wiley, 1974.
  • 3Y M Wei, H B Wu. Expression for the perturbation of weighted Moore - Penrose inverse [J]. Computational Mathematics and Applications,2000 ( 39 ) : 13 - 18.
  • 4Y M Wei,H B Wu,J Y Wei,Inverse order rule for weighted generalized inverse[ J]. SIAM Journal of Matrix Analysis and Applications, 1998 ( 19 ) :772 - 775.
  • 5J M Miao. Representations for the weight Moore - Penrese inverse of apartitioned matrix [ J ]. Journal of Computational Mathematics, 1989,7(4) :321 -323.

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