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A Jacobi-Davidson-type projection method for nonlinear eigenvalue problems
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A Framework for Approximating Eigenpairs in Electronic Structure Computations
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Multilevel preconditioned iterative eigensolvers for Maxwell eigenvalue problems
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In this paper we propose a new method for the iterative computation of a few of the extremal eigenvalues of a symmetric matrix and their associated eigenvectors. The method is based on an old and almost unknown method of Jacobi. Jacobi's approach, combined with Davidson's method, leads to a new method that has improved convergence properties and that may be used for general matrices. We also propose a variant of the new method that may be useful for the computation of nonextremal eigenvalues as well.