CONVERGENCE OF NEWTON'S METHOD FOR SYSTEMS OF EQUATIONS WITH CONSTANT RANK DERIVATIVES

• 来源期刊: 计算数学（英文版）
• 关键词: Newton's method Overdetermined system Lipschitz condition with L average,Convergence Rank
• 年，卷（期）: 2007,（6）
• 页码范围: 705-718
• 页数: 14页
• 语种: 英文

摘要

The convergence properties of Newton's method for systems of equations with constant rank derivatives are studied under the hypothesis that the derivatives satisfy some weak Lipschitz conditions. The unified convergence results, which include Kantorovich type theorems and Smale's point estimate theorems as special cases, are obtained.