@Article{NMTMA-3-449,
author = {Hong-Kui Pang and Xiao-Qing Jin},
title = {Some Properties of the Optimal Preconditioner and the Generalized Superoptimal Preconditioner},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2010},
volume = {3},
number = {4},
pages = {449--460},
abstract = {<p style="text-align: justify;">The optimal preconditioner and the superoptimal preconditioner were
proposed in 1988 and 1992 respectively. They have been studied
widely since then. Recently, Chen and Jin [6] extend
the superoptimal preconditioner to a more general case by using the
Moore-Penrose inverse. In this paper, we further study some useful
properties of the optimal and the generalized superoptimal
preconditioners. Several existing results are extended and new
properties are developed.</p>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.2010.m9013},
url = {http://global-sci.org/intro/article_detail/nmtma/6008.html}
}