Journal of Guangdong University of Technology ›› 2011, Vol. 28 ›› Issue (1): 58-61.

• Comprehensive Studies • Previous Articles     Next Articles

Perturbation Bounds for Singular Space of Extended Matrix-under Multiplicative Perturbation

  

  1. Basic Courses Department,Maoming Vocational and Technical College,Maoming,Guangdong  525000,China
  • Online:2011-12-25 Published:2011-12-25

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Abstract: When Matrix  A and A~Matrix  have the same partition singular decomposition and multiplicative perturbations,the Extended Matrix Rk(A) with mother Matrix A and the Extended Matrix R~k(A~) with mother Matrix A~,the seperation between the left singular space and the right singular space is obtained by using double seperation degree.Furthermore,the perturbation bounds for the singular space of the Extended Matrix Rk(A) and its perturbation matrix R~k(A~) are studied under Frobenius norm.

Key words:
singular space; Frobenius norm; extended matrix; multiplicative perturbation

［1］ 王震，蘭小林，蒋耀林.行（列）对称矩阵的满秩分解及其解法［J］.高等学校计算数学学报，2005，S1：295-303.

［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，2000,45(14)：1560-1562.

［3］ 陈小山.矩阵特征空间和奇异空间相对扰动界［J］.华南师范大学学报,2005(1): 6-10.

［4］ 孙继广.矩阵扰动分析［M］.北京:科学出版社,1987.

［5］ Li R C.Relative perturbation theory(Ⅱ),Eigenspace and singular subspace variations,SIAM［J］.Matrir Anal Appl,1999(20):471-492.

［6］ Davis C,Kahan W.The rotation of eigenvectors by a perturbation(Ⅲ),SIAM［J］.Numer.Anal,1970(7):1-46.
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