TY - JOUR
T1 - Restarted Full Orthogonalization Method with Deflation for Shifted Linear Systems
AU - Jun-Feng Yin & Guo-Jian Yin
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 399
EP - 412
PY - 2014
DA - 2014/07
SN - 7
DO - http://doi.org/10.4208/nmtma.2014.y13010
UR - https://global-sci.org/intro/article_detail/nmtma/5881.html
KW - Shifted linear systems, full orthogonalization method, restarted Arnoldi process,
deflation, collinear.
AB - <p style="text-align: justify;">In this paper, we study shifted restated full orthogonalization
method with deflation for simultaneously solving a number of shifted systems
of linear equations.
Theoretical analysis shows that
with the deflation technique,
the new residual of shifted restarted FOM is still collinear with each other.
Hence, the new approach can solve
the shifted systems simultaneously based on the same Krylov subspace.
Numerical experiments show that
the deflation technique can significantly improve the convergence performance of shifted restarted FOM.</p>