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三矩阵左半张量积的(T,S,2)-逆的反序律 被引量:2

Reverse order law for the(T,S,2)-inverse of a triple matrix left semi-tensor product
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摘要 以矩阵的秩为工具,研究了三个矩阵左半张量积的(T,S,2)-逆的反序律,给出了三矩阵左半张量积(ABC)(2)T4,S4=(C(2)T3,S3It)(B(2)T2,S2Ip)AT1(2),S1成立的充要条件. By using ranks of matrices,the reverse order law for the(T,S,2)-inverse of a triple matrix left semi-tensor product is studied.A sufficient and necessary condition for(A□B□C)(2)T4,S4=(C(2)T3,S3It)(B(2)T2,S2Ip)A(2)T1,S1 is given.
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2010年第2期11-15,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 上海自然科学基金资助项目(092R1408700)
关键词 矩阵左半张量积 (T S 2)逆 反序律 matrix left semi-tensor product (T S 2)-inverse reverse order law
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参考文献8

  • 1程代展,齐洪胜.矩阵的半张量积[M].北京:科学出版社,2007.
  • 2GOLUB G H, LOAN C F V. An matrix computations[M]. Baltimore MD: The Johns Hopkins University Press, 1983:23-90.
  • 3HARTW IG R E. Block generalized inverses[J].Arch Relational Mech Anal,1976,61:197-251.
  • 4TAO C R,MITRA S K. Generalized inverse of matrices and its applications[M]. New York:John Wiley, 1971:102-147.
  • 5BEN-ISRAEL A, GREVILLE T N E. Generalized inverses: theory and applications[M]. New York: Springer-Verlag, 2003: 55-94.
  • 6刘桂香.三矩阵乘积的(T,S,2)-逆的反序律[J].Journal of Mathematical Research and Exposition,2003,23(4):731-736. 被引量:2
  • 7戴华.矩阵论[M].北京:科学出版社,2002.3-5.
  • 8CHEN YONG-IIN,CHEN Xin. Representation and approximation of the outer inverse A^(2)T,S of a matrix A[J].Linear Algebra Appl, 2000,308 : 85-107.

二级参考文献8

  • 1BEN-INRAEL A, GREVILLE TNE. Generalized Inverse: Theory and Applications [M]. Wiley,NewYork, 1974.
  • 2GOLUB G H, LOAN C F Van. Matrix Copmutations [M]. The Johns Hopkins university Pree Baltimore, 1983.
  • 3RAO C R, MITRA S K. Generalized Inverses of Matrices and Its Applications [M]. Wiley, New York, 1971.
  • 4SUN Wen-yu, WEI Yi-min. Inverse order rule for weighted generalized inverse [J]. SIAM J Matrix Anal Appl , 1998, 19: 772--775.
  • 5TIAN Yong-ge. The Moore-Penrose inverse of a triple matrix product [J]. Math Practice Theory, 1992, 1: 64--70.
  • 6TIAN Hong-jiong. On the reverse order law (AB)^D=B^DA^D[J]. J Math Res Exposition, 1999, 19 (2): 355--358.
  • 7CHEN Yong-lin ,CHEN Xin.Representation and approximation of the outer inverse AT.S^(2) of a matrix A [J].Linear Algebra Appl, 2000, 308: 85--107.
  • 8王国荣,高璟.三矩阵乘积的加权Moore-Penrose逆的反序律[J].上海师范大学学报(自然科学版),2000,29(3):1-11. 被引量:4

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