Abstract
In this paper, we expand on an idea for using Krylov subspace information for the matrix A and the vector b. This subspace can be used for the approximate solution of a linear system f (A)x = b, where f is some analytic function. We will make suggestions on how to use this for the case where f is the matrix sign function.
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van der Vorst, H.A. (2000). Solution of f(A)x = b with Projection Methods for the Matrix A . In: Frommer, A., Lippert, T., Medeke, B., Schilling, K. (eds) Numerical Challenges in Lattice Quantum Chromodynamics. Lecture Notes in Computational Science and Engineering, vol 15. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58333-9_2
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DOI: https://doi.org/10.1007/978-3-642-58333-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67732-1
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