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

doi:10.3778/j.issn.1002-8331.2010.14.009

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (14): 31-33.DOI: 10.3778/j.issn.1002-8331.2010.14.009

• 研究、探讨 • Previous Articles Next Articles

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

MIN Tao，WU Miao

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

求解二维Fredholm积分方程的参数化信赖域方法

闵涛，武苗

西安理工大学理学院，西安 710054

通讯作者: 闵涛

Abstract

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

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

CLC Number:

O241.8

MIN Tao，WU Miao. Solving two-dimensional Fredholm integral equation of parameterized trust region methods[J]. Computer Engineering and Applications, 2010, 46(14): 31-33.

闵涛，武苗. 求解二维Fredholm积分方程的参数化信赖域方法[J]. 计算机工程与应用, 2010, 46(14): 31-33.

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

求解二维Fredholm积分方程的参数化信赖域方法

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