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加W权Drazin逆(AB)_(d,w)的表示及应用(英文)

The representation of the W-weighted Drazin inverse (AB)_(d,w) and its applications
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摘要 讨论了Kronecker积A B的加W权Drazin逆(A B)d,w的表示式,并建立投影算子的Kronecker积之间的关系。最后,运用上面的结果和Cramer法则,得到了一类约束线性方程的加权Drazin逆解x∈R(((A B)(W1 W2))k1)。 The representation of the W-weighted Drazin inverse (A B)d,w of the Kronecker product A B of two matrices A and B is given. The relation between the Kronecker product of the projectors is established. Using the a-bove results and the Cramer rule, the unique W-weighted Drazin inverse solution x ∈ R(((A B)(W1 W2))k1) of a special kind of restricted linear equations is found.
作者 王国荣 顾超
出处 《上海师范大学学报(自然科学版)》 2004年第2期1-6,共6页 Journal of Shanghai Normal University(Natural Sciences)
基金 Supported by the National Natural Science Fcience Foundation of China,the Science and Technology Foundation of Shanghai Higher Education Project(00JC14057) the Special Funds for Major Specialities of Shangahi Education Committee.
关键词 KRONECKER积 DRAZIN逆 指标 投影算子 CRAMER法则 Kronecker product W-weighted Drazin inverse index projector Cramer rule
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参考文献7

  • 1M MARCUS,H MINC.A survery of matrix theory and matrix inequalities[M].Allyn Bacon,Boston,1964. 被引量:1
  • 2CLINE R E,GREVILLE T N E.A Drazin inverse for rectangular matrices[J].Linear Algebra Appl,1980,29:53-62. 被引量:1
  • 3ROBINSON S M.A short proof of Cramer's rule[J].Math Mag,1970,43:94-95. 被引量:1
  • 4WANG G R.A Cramer rule for finding the solution of a class of singular equations[J].Linear Algbra Appl,1989,116:27-34. 被引量:1
  • 5WEI Y.A characterization for the W-weighted Drazin inverse and a Cramer rule for the W-weighted Drazin inverse solution [J].Applied Mathematics and Computation,2002,125:303-310. 被引量:1
  • 6WANG G R.The representations of the generalized inverse (A(×)B)(2)T.S and some applications[J].Journal Shanghai Normal Univ (Natural Sciences),1995,24(2):1-7. 被引量:1
  • 7WANG G R.Weighted Moore-Penrose,Drazin and group inverse of the kronecker product A(×)B and some applications [J].Linear Algebra Appl,1997,250:39-50. 被引量:1

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