The Drazin index i(M) of the anti-triangular block matrix is bounded by expressions involving i(A) and i(BC), with equality cases and closed-form Drazin inverses characterized under block constraints.
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On the Drazin Index of an Anti-Triangular Block Matrix
The Drazin index i(M) of the anti-triangular block matrix is bounded by expressions involving i(A) and i(BC), with equality cases and closed-form Drazin inverses characterized under block constraints.