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A note on the superlinear convergence of GMRES. (English) Zbl 0873.65054
In this short paper it is shown how the rate of convergence of the generalized minimal residual (GMRES) method for solving a linear operator equation \((\lambda I + K) u = f\) in a Hilbert space is related to the degree of compactness of \(K\) measured by the products of its singular value.
Reviewer: K.Georgiev (Sofia)

MSC:
65J10 Numerical solutions to equations with linear operators (do not use 65Fxx)
47A50 Equations and inequalities involving linear operators, with vector unknowns
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