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求解二维Fredholm积分方程的参数化信赖域方法

Solving two-dimensional Fredholm integral equation of parameterized trust region methods
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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。 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.
作者 闵涛 武苗
出处 《计算机工程与应用》 CSCD 北大核心 2010年第14期31-33,共3页 Computer Engineering and Applications
关键词 参数化 正则化 信赖域 积分方程 parameterized regularization trust region integral equation
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  • 1Aster R,Borehers B,Thurber C.Parameter estimation and inverse problems[M].[S.l.]:Academic Press,2004.
  • 2Gredzevich O,Wolkowicz H.Regularization using a parameterized trust region subproblem[J].Mathematical Programming,2009,116(1/2).
  • 3Calvetti D,Morigi S,Reiehel L,et al.Tikhonov regularization and the L-curve for large discrete ill-posed problems[J].Journal of Computational and Applied Mathematics,2000,123:423-426.
  • 4李功胜,张瑞,潘月君,卞秋菊.解第一类Fredholm积分方程的优化正则化策略[J].山东理工大学学报(自然科学版),2003,17(1):72-75. 被引量:5
  • 5Rendl F,Wolkowicz H.A semidefinite framework for trust region subproblems with applications to large scale minimization[J].Math Programming,1997,77 (2):273-299.
  • 6Golub G H,von Matt U.Generalized cross-validation for large-scale problems[J]Journal of Computational and Graphical Statistics,1997,6(1):1-34.
  • 7Stern R,Wolkewiez H.Indefinite trust region subproblems and nonsymmetric eigenvalue perturbatious[J].SIAM J Optim,1995,5(2):.

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