Semi-Iterative Methods for The Drazin Inverse Solution of Linear Equations
N. Castro González, J. J. Koliha · Numerical Functional Analysis and Optimization · 1999
We study semi-iterative methods for an approximate solution of a linear equation x = Tx+cwith 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.