TY - JOUR
T1 - A Note on the GMRES Method for Linear Discrete Ill-Posed Problems
AU - Kuroiwa , Nao
AU - Nodera , Takashi
JO - Advances in Applied Mathematics and Mechanics
VL - 6
SP - 816
EP - 829
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/10.4208/aamm.09-m09S08
UR - https://global-sci.org/intro/article_detail/aamm/8399.html
KW - Numerical computation, GMRES, iterative method, linear discrete ill-posed problem.
AB - <p style="text-align: justify;">In this paper, we are presenting a proposal for new modified
algorithms for RRGMRES and AGMRES. It is known that RRGMRES and
AGMRES are viable methods for solving linear discrete ill-posed
problems. In this paper we have focused on the residual norm and
have come up with two improvements where successive updates and the
stabilization of decreases for the residual norm improve performance
respectively. Our numerical experiments confirm that our improved
algorithms are effective for linear discrete ill-posed problems.</p>