A globally convergent derivative-free method for solving large-scale nonlinear monotone equations

✍ Scribed by Qin-Rong Yan; Xiao-Zhen Peng; Dong-Hui Li

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 294 KB
• Volume: 234
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2010.01.001

✦ Synopsis

In this paper, we propose two derivative-free iterative methods for solving nonlinear monotone equations, which combines two modified HS methods with the projection method in Solodov and Svaiter (1998) . The proposed methods can be applied to solve nonsmooth equations. They are suitable to large-scale equations due to their lower storage requirement. Under mild conditions, we show that the proposed methods are globally convergent. The reported numerical results show that the methods are efficient.