Title: Using Krylov approximations to the matrix exponential operator in Davidson's method
Authors: Meerbergen, Karl ×
Sadkane, M #
Issue Date: Nov-1999
Publisher: North-Holland
Series Title: Applied Numerical Mathematics vol:31 issue:3 pages:331-351
Abstract: This paper presents a new look at Davidson's method for the calculation of the rightmost eigenvalue(s). The combination of time-stepping by the Krylov exponential propagator and the Davidson method leads to a method that builds a Krylov space of the matrix exponential. The method is well-suited when only a matrix-vector multiplication by A is possible. The paper presents some convergence results and numerical examples, including a comparison with the Jacobi-Davidson method. (C) 1999 Elsevier Science B.V. and IMACS. All rights reserved.
ISSN: 0168-9274
Publication status: published
KU Leuven publication type: IT
Appears in Collections:NUMA, Numerical Analysis and Applied Mathematics Section
× corresponding author
# (joint) last author

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