Title of article
Some new restart vectors for explicitly restarted Arnoldi method
Author/Authors
Abadi, Z Department of Mathematical Science - Yazd University, Yazd , Shahzadeh Fazeli, S. A Department of Computer Science - Yazd University, Yazd , Karbassi, S. M Department of Mathematical Science - Yazd University, Yazd
Pages
15
From page
91
To page
105
Abstract
The explicitly restarted Arnoldi method (ERAM) can be
used to nd some eigenvalues of large and sparse matri-
ces. However, it has been shown that even this method
may fail to converge. In this paper, we present two new
methods to accelerate the convergence of ERAM algo-
rithm. In these methods, we apply two strategies for
the updated initial vector in each restart cycles. The
implementation of the methods have been tested by nu-
merical examples. The results show that we can obtain
a good acceleration of the convergence compared to orig-
inal ERAM.
Keywords
Large eigenvalue problems , Krylov subspace , Arnoldi method , Explicitly restarted , Restarting vector
Journal title
Astroparticle Physics
Serial Year
2019
Record number
2469355
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