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Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature

Efficient and Stable Arnoldi Restarts for Matrix Functions Based on Quadrature

When using the Arnoldi method for approximating $f(A){\mathbf b}$, the action of a matrix function on a vector, the maximum number of iterations that can be performed is often limited by the storage requirements of the full Arnoldi basis. As a remedy, different restarting algorithms have been proposed in the …