@Article{NMTMA-3-449, author = {}, 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 = {

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.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2010.m9013}, url = {http://global-sci.org/intro/article_detail/nmtma/6008.html} }