Journal of Guangdong University of Technology ›› 2010, Vol. 27 ›› Issue (1): 12-15.

• Comprehensive Studies • Previous Articles     Next Articles

Perturbation Bounds for Singular Subspace ofM-P Inverse under Addictive Noise

  

  1. Basic Courses Department, M aom ing Vocational Technica l College, Maom ing 525000, China
  • Online:2010-03-25 Published:2010-03-25

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Abstract: Abstract: Under singu lar va lue decomposition w ith the same b locks and addictive noise, w ith the singu lar decomposition toMoore-Penrose inverse is singular subspace. By b-i separat ing degree, the separating and connecting perturbation bounds o f lef-t right singular subspace are obtained.

Key words: Moo re-Penrose inverse; addictive no ise; singu lar subspace; singu lar decomposit ion

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[ 2] Li Ren-C ang. Re la tive pe rturba tion theory. E igenspace and singu lar subspace variations[ J]. SIAM M atr ir Ana.l App,l 1998, 20: 471-492.

[ 3] 孙继广. 矩阵扰动分析[M ] . 北京: 科学出版社, 1987.

[ 4] 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.
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