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Mathematics Research Report MRR95-068

Error Estimates For Krylov Subspace Approximations Of Matrix Exponentials

D. E. Stewart and T. S. Leyk

Abstract: The paper develops a better upper estimate of the error for the Krylov subspace approximations to the exponential of a large matrix than that given by Gallopoulos and Saad [``Efficient solution of parabolic equation by Krylov approximation methods'', SIAM J. Sci. Stat. Comput. 13, 1992, 1236-1264]. This approach is based on Chebyshev series approximation.


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