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Volume 11, Issue 3
On the Convergence of the Factorization Update Algorithm

Zhong-Zhi Bai & De-Ren Wang

J. Comp. Math., 11 (1993), pp. 236-249.

Published online: 1993-11

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  • 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.    

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@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} }
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.    

Bai , Zhong-Zhi and Wang , De-Ren. (1993). On the Convergence of the Factorization Update Algorithm. Journal of Computational Mathematics. 11 (3). 236-249. doi:
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