Journal of Guangdong University of Technology ›› 2010, Vol. 27 ›› Issue (3): 19-21.

• Comprehensive Studies • Previous Articles     Next Articles

Perturbation Bounds for Positive Semi-definite Factors of Extended Matrix

  

  1. Basic Courses Department,Maoming Vocational and Technical College,Maoming 525000,China
  • Online:2010-09-25 Published:2010-09-25

Abstract: Abstract:The positive semi-definite factors of the extended matrix R (A),whose mother matrix is A,and its perburtation matrix R (A)are H and H respectively.By means of singular value decomposition,the perturbation bounds for positive semi-definite factors of extended matrix R (A)are deduced under Frobenius norm.

Key words: postive semi-definite factor;extended matrix;Frobenius norm;singu lar decomposition;perturbation
bound

[1]邹红星,王殿军,戴琼海,等.延拓矩阵的奇异值分解[J].电子学报,2001(3):289-292.

[2]邹红星,王殿军,戴琼海,等.延拓矩阵的奇异值分解[J].科学通报,2000(7):1560-1562.

[3]蔺小林,王震,蒋耀林.酉延拓矩阵的奇异值分解及其广义逆[J].纯粹数学与应用数学,2008,24(1):49-53.

[4]孙继广.矩阵扰动分析[M].北京:科学出版社,2001.

[5]Li R-C.Relative perturbation theory:I.Eigenvalue and singular value variations[J].Natrix Anal Appl,1998(19):956-982.
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