TY - JOUR T1 - On the Convergence of the Factorization Update Algorithm AU - Bai , Zhong-Zhi AU - Wang , De-Ren JO - Journal of Computational Mathematics VL - 3 SP - 236 EP - 249 PY - 1993 DA - 1993/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9323.html KW - AB -

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.