Krylov Subspace Restarting for Matrix Laplace Transforms

Polynomial preconditioning for the action of the matrix square root and inverse square root

“…A. FROMMER, G. RAMIREZ-HIDALGO, M. SCHWEITZER, AND M. TSOLAKIS possible if f is a Stieltjes transform [2], a Cauchy-type function as defined in [29], or a Laplace transform [30]. In all these cases, f is given as an integral, and sufficiently precise numerical quadrature has to be employed in order to evaluate f and the corresponding functions occurring after more than one restart.…”