论文信息 - On continuity of the Moore-Penrose and Drazin generalized inverses

On continuity of the Moore-Penrose and Drazin generalized inverses

Abstract Let A be an m × n matrix. It is shown that if a matrix Â comes close to satisfying the definition of the Moore-Penrose generalized inverse of A , A † , then ┆ Â – A † ┆ is small. Norm estimates are given which make precise what is close. The Drazin generalized inverse is also considered.

Stephen L. Campbell

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