Semi-iterative Methods for the Drazin Inverse Solution of Linear Equations in Banach Spaces
نویسندگان
چکیده
We study semi-iterative methods for an approximate solution of a linear equation x = Tx+c with a bounded linear operator T acting on a Banach space X, considering separately the cases when λ = 1 is an isolated and accumulation spectral point for T . We give necessary and sufficient conditions for the convergence of a semi-iterative method, utilizing the generalized Drazin inverse introduced by the second author. AMS subject classification: primary 47A50, 47A10, secondary 47A35, 65J10
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