A harmonic restarted Arnoldi algorithm for calculating eigenvalues and determining multiplicity
RB Morgan, M Zeng - Linear algebra and its applications, 2006 - Elsevier
RB Morgan, M Zeng
Linear algebra and its applications, 2006•ElsevierA restarted Arnoldi algorithm is given that computes eigenvalues and eigenvectors. It is
related to implicitly restarted Arnoldi, but has a simpler restarting approach. Harmonic and
regular Rayleigh–Ritz versions are possible. For multiple eigenvalues, an approach is
proposed that first computes eigenvalues with the new harmonic restarted Arnoldi algorithm,
then uses random restarts to determine multiplicity. This avoids the need for a block method
or for relying on roundoff error to produce the multiple copies.
related to implicitly restarted Arnoldi, but has a simpler restarting approach. Harmonic and
regular Rayleigh–Ritz versions are possible. For multiple eigenvalues, an approach is
proposed that first computes eigenvalues with the new harmonic restarted Arnoldi algorithm,
then uses random restarts to determine multiplicity. This avoids the need for a block method
or for relying on roundoff error to produce the multiple copies.
A restarted Arnoldi algorithm is given that computes eigenvalues and eigenvectors. It is related to implicitly restarted Arnoldi, but has a simpler restarting approach. Harmonic and regular Rayleigh–Ritz versions are possible. For multiple eigenvalues, an approach is proposed that first computes eigenvalues with the new harmonic restarted Arnoldi algorithm, then uses random restarts to determine multiplicity. This avoids the need for a block method or for relying on roundoff error to produce the multiple copies.
Elsevier
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