Year: 2009
Author: Nao Kuroiwa, Takashi Nodera
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 6 : pp. 816–829
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.09-m09S08
Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 6 : pp. 816–829
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Numerical computation GMRES iterative method linear discrete ill-posed problem.
Author Details
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A double optimal descent algorithm for iteratively solving ill-posed linear inverse problems
Liu, Chein-Shan
Inverse Problems in Science and Engineering, Vol. 23 (2015), Iss. 1 P.38
https://doi.org/10.1080/17415977.2014.880905 [Citations: 6]