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RICE CONDITION NUMBERS OF CERTAIN CHARACTERISTIC SUBSPACES
作者姓名:生汉芳  刘新国
作者单位:Department of Mathematics, Ocean University of Qingdao, Qingdao 266071   
基金项目:This project is supported by the NNSF of China.
摘    要:This paper proposes the Rice condition numbers for invariant subspace, singular sub-spaces of a matrix and deflating subspaces of a regular matrix pair. The first-order perturbation estimations for these subspaces are derived by applying perturbation expansions of orthogonal projection operators.


RICE CONDITION NUMBERS OF CERTAIN CHARACTERISTIC SUBSPACES
Sheng Hanfang,Liu Xinguo.RICE CONDITION NUMBERS OF CERTAIN CHARACTERISTIC SUBSPACES[J].Numerical Mathematics A Journal of Chinese Universities English Series,2002,11(1):94-105.
Authors:Sheng Hanfang  Liu Xinguo
Affiliation:Department of Mathematics, Ocean University of Qingdao, Qingdao 266071
Abstract:This paper proposes the Rice condition numbers for invariant subspace, singular sub-spaces of a matrix and deflating subspaces of a regular matrix pair. The first-order perturbation estimations for these subspaces are derived by applying perturbation expansions of orthogonal projection operators.
Keywords:invariant subspace  singular subspaces  deflating subspaces  orthogonal projection operator  Rice condition number  
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