@Article{JCM-11-236, author = {Bai , Zhong-Zhi and Wang , De-Ren}, title = {On the Convergence of the Factorization Update Algorithm}, journal = {Journal of Computational Mathematics}, year = {1993}, volume = {11}, number = {3}, pages = {236--249}, abstract = {

In this paper, we make a Kantorovich-type analysis for the spares Johnson and Austria's algorithm given in [2], which is called factorization update algorithm. When the mapping is linear, it is shown that a modification of that algorithm leads to global and Q-superlinear convergence. Finally, we point out the modification is also of local and Q-superlinear convergence for nonlinear systems of equations and give its corresponding Kantorovich-type convergence result.    

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9323.html} }