Some Properties of GMRES in Hilbert Spaces

Maria Grazia Gasparo, Alessandra Papini, Aldo Pasquali · Numerical Functional Analysis and Optimization · 2008

Our purpose in this work is to explore the properties of GMRES in Hilbert spaces. We extend to the infinite dimensional context some main results that are known to hold in the finite dimensional case. A key assumption for these extensions is that the involved linear operator is an algebraic operator.

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