Continuity properties of the Drazin pseudoinverse |
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Authors: | Stephen L Campbell Carl D Meyer |
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Institution: | Department of Mathematics, North Carolina State University Raleigh, North Carolina 27607, USA |
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Abstract: | Let BD denote that Drazin inverse of the n×n complex matrix B. Define the core-rank of B as rank (Bi(B)) where i(B) is the index of B. Let j = 1,2,…, and Aj and A be square matrices such that Ai converges to A with respect to some norm. The main result of this paper is that AjD converges to AD if and only if there exist a j0 such that core-rank Aj=core-rankA for j ? j0. |
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