The semilocal convergence of a generalization of Brent's and Brown's methods |
| |
| Authors: | Zhijian Huang |
| |
| Institution: | (1) Department of Statistics and Operations Research, Fudan University, 200433 Shanghai, P.R. China;(2) Present address: Department of Mathematics, University of Bergamo, Piazza Rosate 2, 24100 Bergamo, Italy |
| |
| Abstract: | In this paper, we discuss the semilocal convergence of Martínez's generalization of Brent's and Brown's methods. Through a careful investigation of the algorithm structure, we convert Martínez's generalized method into an approximate Newton method with a special error term. Based on such equivalent variation, we prove the semilocal convergence theorem of Martínez's generalized method. This is a complementary result to the convergence theory of Martínez's generalized method. |
| |
| Keywords: | Brent's method Brown's method Martí nez's generalized method approximate Newton method semilocal convergence theorem |
| 本文献已被 SpringerLink 等数据库收录！ |
|
