TY - JOUR
T1 - Iterative Methods with Preconditioners for Indefinite Systems
AU - Ren , Wei-Qing
AU - Zhao , Jin-Xi
JO - Journal of Computational Mathematics
VL - 1
SP - 89
EP - 96
PY - 1999
DA - 1999/02
SN - 17
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9084.html
KW - Generalized condition number, Indefinite systems, Factorization method.
AB - <p style="text-align: justify;">For the sparse linear equations $Kx=b$, where $K$ arising from optimization and discretization of some PDEs is symmetric and indefinite, it is shown that the $L&nbsp;\overline{L}^T $ factorization can be used to provide an &quot;exact&quot; preconditioner for SYMMLQ and UZAWA algorithms. &quot;Inexact&quot; preconditioner derived from approximate factorization is used in the numerical experiments.</p>