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A Note on the GMRES Method for Linear Discrete Ill-Posed Problems
Authors:Nao Kuroiwa & Takashi Nodera
Abstract:In this paper, we are presenting a proposal for new modifiedalgorithms for RRGMRES and AGMRES. It is known that RRGMRES andAGMRES are viable methods for solving linear discrete ill-posedproblems. In this paper we have focused on the residual norm andhave come up with two improvements where successive updates and thestabilization of decreases for the residual norm improve performancerespectively. Our numerical experiments confirm that our improvedalgorithms are effective for linear discrete ill-posed problems.
Keywords:Numerical computation   GMRES   iterative method   linear discrete ill-posed problem.
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