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A Note on the GMRES Method for Linear Discrete Ill-Posed Problems |
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| Authors: | Nao Kuroiwa & Takashi Nodera |
| 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. |
| Keywords: | Numerical computation GMRES iterative method linear discrete ill-posed problem |
| 点击此处可从《advances in applied mathematics and mechanics.》浏览原始摘要信息 | |
