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RICE CONDITION NUMBERS OF CERTAIN CHARACTERISTIC SUBSPACES

RICE CONDITION NUMBERS OF CERTAIN CHARACTERISTIC SUBSPACES
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摘要 This paper proposes the Rice condition numbers for invariant subspace, singular subspaces 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. 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.
基金 This project is supported by the NNSF of China.
关键词 INVARIANT subspace SINGULAR subspaces deflating subspaces orthogonal projection operator RICE condition number. invariant subspace, singular subspaces, deflating subspaces, orthogonal projection operator, Rice condition number.
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