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Inexact rational Krylov subspace methods for approximating the action of functions of matrices

Inexact rational Krylov subspace methods for approximating the action of functions of matrices

This paper concerns the theory and development of inexact rational Krylovsubspace methods for approximating the action of a function of a matrix $f(A)$to a column vector $b$. At each step of the rational Krylov subspace methods, ashifted linear system of equations needs to be solved to enlarge the subspace.For large-scale …