id: 02232796
dt: j
an: 02232796
au: Zhang, Linjie; Nodera, Takashi
ti: A new adaptive restart for GMRES($m$) method.
so: ANZIAM J. 46C, Proc. 2004, C409-C425, electronic only (2005).
py: 2005
pu: Australian Mathematical Society; Cambridge University Press, Cambridge
la: EN
cc: 
ut: adaptive restart; GMRES; Krylov subspace methods; harmonic Ritz values;
    numerical experiments
ci: 
li: http://anziamj.austms.org.au/V46/CTAC2004/Zhan/
ab: Summary: GMRES($m$) is a Krylov subspace method for solving nonsymmetric
    systems of linear equations. The difficulty of this method lies in
    choosing the appropriate restart cycle $m$. We propose a new strategy
    for the adaptive restart for GMRES($m$) which is based on using the
    difference of the Ritz and harmonic Ritz values. We also report on
    numerical experiments which show that this new approach is both
    effective and robust.
rv: