期刊文献+

非线性最小二乘问题的修正拟牛顿法

A Modified Quasi-Newton Method for Nonlinear Least Squares Problems
在线阅读 下载PDF
导出
摘要 给出了求解非线性最小二乘的修正拟牛顿方法。该方法结合了非单调搜索技术和结构化拟牛顿法的思想,提出了一种新的求解非线性最小二乘的修正拟牛顿法,并证明了该方法的全局收敛性。 A modified quasi - Newton method for nonlinear least squares problems is proposed. By using non - monotone line search technique and structured quasi - Newton method, we establish a modified quasi - Newton method for nonlinear least squares problems, and the global convergence of the algorithm is proved.
作者 吴淦洲
出处 《广东石油化工学院学报》 2011年第6期64-66,共3页 Journal of Guangdong University of Petrochemical Technology
关键词 非线性最小二乘问题 非单调搜索 修正拟牛顿法 nonlinear least squares problems non- monotone line search modified quasi- Newton method
  • 相关文献

参考文献4

  • 1Dennis J E Jr.A convergence theory for the structured BFGS secant method with an application to nonlinear least squares[].Techni-cal Report -Department of Mathematical SciencesRice University.1987
  • 2Kenneth Levenberg.A method for the solution of certain non-linear problems in least squares[].Quarterly of Applied Mathematics.1944
  • 3Marquardt DW.An algorithm for least-squares estimation of nonlinear parameters[].SIAM Journal on Applied Mathematics.1963
  • 4M. Ulbrich.Semismooth Newton methods for operator equations in function spaces[].SIAM Journal on Optimization.2003

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部