Article citationsMore>>

Brown, P.N. and Walker, H.F. (1997) GMRES on (Nearly) Singular Systems. SIAM Journal on Matrix Analysis and Applications, 18, 37-51.
https://doi.org/10.1137/S0895479894262339

has been cited by the following article:

• TITLE: A QMR-Type Algorithm for Drazin-Inverse Solution of Singular Nonsymmetric Linear Systems

  AUTHORS: Alireza Ataei

  KEYWORDS: Singular Linear Systems, DGMRES Method, Quasi-Minimal Residual Methods, Drazin-Inverse Solution, Krylov Subspace Methods

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.6 No.4, November 29, 2016

  ABSTRACT: In this paper, we propose DQMR algorithm for the Drazin-inverse solution of consistent or inconsistent linear systems of the form Ax=b where is asingular and in general non-hermitian matrix that has an arbitrary index. DQMR algorithm for singular systems is analogous to QMR algorithm for non-singular systems. We compare this algorithm with DGMRES by numerical experiments.