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

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