Numerical Challenges in Lattice Quantum Chromodynamics

Volume 15 of the series Lecture Notes in Computational Science and Engineering pp 18-28

Solution of f(A)x = b with Projection Methods for the Matrix A

  • Henk A. van der VorstAffiliated withDepartment of Mathematics, Utrecht Universtity

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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.