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求解非线性不适定的混合Newton-Tikhonov迭代法

康传刚 贺国强

康传刚, 贺国强. 求解非线性不适定的混合Newton-Tikhonov迭代法[J]. 应用数学和力学, 2009, 30(6): 690-700. doi: 10.3879/j.issn.1000-0887.2009.06.008
引用本文: 康传刚, 贺国强. 求解非线性不适定的混合Newton-Tikhonov迭代法[J]. 应用数学和力学, 2009, 30(6): 690-700. doi: 10.3879/j.issn.1000-0887.2009.06.008
KANG Chuan-gang, HE Guo-qiang. A Mixed Newton-Tikhonov Method for Nonlinear Ⅲ-Posed Problems[J]. Applied Mathematics and Mechanics, 2009, 30(6): 690-700. doi: 10.3879/j.issn.1000-0887.2009.06.008
Citation: KANG Chuan-gang, HE Guo-qiang. A Mixed Newton-Tikhonov Method for Nonlinear Ⅲ-Posed Problems[J]. Applied Mathematics and Mechanics, 2009, 30(6): 690-700. doi: 10.3879/j.issn.1000-0887.2009.06.008

求解非线性不适定的混合Newton-Tikhonov迭代法

doi: 10.3879/j.issn.1000-0887.2009.06.008
基金项目: 上海市重点学科资助项目(S30104);上海市教委重点学科建设资助项目(J50101)
详细信息
    作者简介:

    康传刚(1978- ),男,山东人,博士(E-mail:ckang78@sohu.com);贺国强(1946- ),男,上海人,教授(联系人.E-mail:gqhe@staff.shu.edu.cn).

  • 中图分类号: O241

A Mixed Newton-Tikhonov Method for Nonlinear Ⅲ-Posed Problems

  • 摘要: 鉴于Newton型方法在实际计算中计算量可能非常大,因此提出了一种一步Newton结合若干步简化Newton的混合Newton-Tikhonov方法,并且在一定条件下证明了该方法的收敛性和稳定性.数值试验表明,在减少计算量方面该方法相对于经典的Newton方法有明显的改善.
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出版历程
  • 收稿日期:  2008-10-14
  • 修回日期:  2009-05-14
  • 刊出日期:  2009-06-15

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