Volume 1, Issue 6
A Note on the GMRES Method for Linear Discrete Ill-Posed Problems

Nao Kuroiwa and Takashi Nodera

10.4208/aamm.09-m09S08

Adv. Appl. Math. Mech., 1 (2009), pp. 816-829.

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  • 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.

  • History

Published online: 2009-01

  • AMS Subject Headings

65F10

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