RICE CONDITION NUMBERS OF CERTAIN CHARACTERISTIC SUBSPACES |
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| Authors: | Sheng Hanfang Liu Xinguo |
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| Affiliation: | Department of Mathematics, Ocean University of Qingdao, Qingdao 266071;Department of Mathematics, Ocean University of Qingdao, Qingdao 266071 |
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| 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. |
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| Keywords: | invariant subspace singular subspaces deflating subspaces orthogonal projection operator Rice condition number. |
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