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| A CLASS OF FACTORIZATION UPDATE ALGORITHM FOR SOLVING SYSTEMS OF SPARSE NONLINEAR EQUATIONS | |
| 引用本文： | 白中治,王德人. A CLASS OF FACTORIZATION UPDATE ALGORITHM FOR SOLVING SYSTEMS OF SPARSE NONLINEAR EQUATIONS[J]. 应用数学学报(英文版), 1996, 12(2): 188-200. DOI: 10.1007/BF02007738 |
| 作者姓名： | 白中治 王德人 |
| 摘 要： | ＡＣＬＡＳＳＯＦＦＡＣＴＯＲＩＺＡＴＩＯＮＵＰＤＡＴＥＡＬＧＯＲＩＴＨＭＦＯＲＳＯＬＶＩＮＧＳＹＳＴＥＭＳＯＦＳＰＡＲＳＥＮＯＮＬＩＮＥＡＲＥＱＵＡＴＩＯＮＳＢＡＩＺＨＯＮＧＺＨＩ（ＩｎｓｔｉｔｕｔｅｏｆＣｏｍｐｕｔａｔｉｏｎａｌＭａｔｈｅｍａｔｉｃ... |
| 收稿时间： | 1992-07-08 |
A class of factorization update algorithm for solving systems of sparse nonlinear equations |
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| Zhongzhi Bai,Deren Wang. A class of factorization update algorithm for solving systems of sparse nonlinear equations[J]. Acta Mathematicae Applicatae Sinica, 1996, 12(2): 188-200. DOI: 10.1007/BF02007738 | |
| Authors: | Zhongzhi Bai Deren Wang |
| Affiliation: | (1) Institute of Computational Mathematics and Scientific/Engineering Computing, Chinese Academy of Sciences, 100080 Beijing, China;(2) Shanghai University of Science & Technology, 201800 Shanghai, China |
| Abstract: | In this paper, we establish a class of sparse update algorithm based on matrix triangular factorizations for solving a system of sparse equations. The local Q-superlinear convergence of the algorithm is proved without introducing an m-step refactorization. We compare the numerical results of the new algorithm with those of the known algorithms, The comparison implies that the new algorithm is satisfactory. |
| Keywords: | Quasi-Newton methods matrix factorization sparse update algorithm Qsuperlinear convergence |
| 本文献已被 SpringerLink 等数据库收录！ | |