Year: 1993
Author: Zhong-Zhi Bai, De-Ren Wang
Journal of Computational Mathematics, Vol. 11 (1993), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/1993-JCM-9323
Journal of Computational Mathematics, Vol. 11 (1993), Iss. 3 : pp. 236–249
Published online: 1993-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14