TY - JOUR
T1 - Upper Bounds of the Spectral Radii of Some Iterative Matrices
AU - Hu , Jia-Gan
JO - Journal of Computational Mathematics
VL - 2
SP - 118
EP - 127
PY - 1990
DA - 1990/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9425.html
KW - 
AB - <p style="text-align: justify;">In this paper, the concept of optimally scaled matrix and the estimate of $\|M^{-1}N\|_{\infty}$ in our previous paper are used to find the upper bounds of the spectral radii of the iterative matrices SOR, SSOR, AOR and SAOR. The sharpness of the upper bounds of the spectral radii of SOR and AOR is established. The proofs are very intuitive and may be considered as the geometrical interpretations of our theorems.</p>