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The paper establishes the convergence of the steepest descent method for least-squares solutions of operator equations in Hubert spaces for any (nondensely defined, unbounded) closed linear operator with closed range. This is done by using a graph topology, an explicit graph topology adjoint, and existing theory of steepest descent for bounded linear operators.doi:10.1090/s0002-9939-1983-0699408-9 fatcat:6ibk3lxdobh2rnvisgiwp5gxgy