计算机工程与应用 ›› 2010, Vol. 46 ›› Issue (14): 31-33.DOI: 10.3778/j.issn.1002-8331.2010.14.009

• 研究、探讨 • 上一篇    下一篇

求解二维Fredholm积分方程的参数化信赖域方法

闵 涛,武 苗   

  1. 西安理工大学 理学院,西安 710054
  • 收稿日期:2008-11-06 修回日期:2009-02-13 出版日期:2010-05-11 发布日期:2010-05-11
  • 通讯作者: 闵 涛

Solving two-dimensional Fredholm integral equation of parameterized trust region methods

MIN Tao,WU Miao   

  1. School of Sciences,Xi’an University of Technology,Xi’an 710054,China
  • Received:2008-11-06 Revised:2009-02-13 Online:2010-05-11 Published:2010-05-11
  • Contact: MIN Tao

摘要: 给出了求解二维第一类Fredholm积分方程信赖域方法。通过引入正则化参数将离散后的Fredholm积分方程转化带参数的最优化问题,借助于KKT条件将二次信赖域子问题参数化,并进行分析求解,最后给出了数值模拟。

关键词: 参数化, 则化, 赖域, 分方程

Abstract: A general approach based on parameterized trust region subproblem algorithms is proposed to solve two-dimensional Fredholm integral equation.Through the introduction of regularization parameters,the discreted integral equation is described as the problems of parameterized optimization.Based on the condition of KKT,the regularization problem can be expressed as parameterized problem,and the numerical simulation is given.

Key words: parameterized, egularization, rust region, ntegral equation

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