Convergence of Krylov methods for sums of two operators |
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| Authors: | Olavi Nevanlinna |
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| Institution: | (1) Institute of Mathematics, Helsinki University of Technology, FIN-02150 Espoo, Finland |
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| Abstract: | We discuss the convergence of Krylov subspace methods for equationsx =Tx +f whereT is a sum of two operators,T =B +K, whereB is bounded andK is nuclear. Bounds are given for inf  Q
k
(B+K) and for inf p
k
(B+K), where the infimum is over all polynomials of degreek, such thatQ
k
is monic andp
k
is normalized:p
k
(1) = 1. |
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| Keywords: | Krylov methods GMRES trace class |
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