A note on the GMRES method for linear discrete ill-posed problems

Nao Kuroiwa, Takashi Nodera

研究成果: Article査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)816-829
ページ数14
ジャーナルAdvances in Applied Mathematics and Mechanics
1
6
DOI
出版ステータスPublished - 2009 12 1

ASJC Scopus subject areas

  • 機械工学
  • 応用数学

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