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

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

While preconditioning is a long-standing concept to accelerate iterative methods for linear systems, generalizations to matrix functions are still in their infancy.We go a further step in this direction, introducing polynomial preconditioning for Krylov subspace methods that approximate the action of the matrix square root and inverse square root on …