带扰动算子的Landweber迭代在Hanke-Raus准则下的收敛阶分析
Convergence Order Analysis of a Landweber Iteration with Perturbed Operators under the Hanke-Raus Rule
DOI: 10.12677/AAM.2024.131008, PDF,    国家自然科学基金支持
作者: 谷 苒：浙江师范大学数学科学学院，浙江 金华；董超峰：嘉兴学院数据科学学院，浙江 嘉兴
关键词: 非线性反问题；Landweber迭代法；扰动算子；Hanke-Raus准则；Nonlinear Inverse Problem； Landweber Iteration Method； Perturbed Operators； Hanke-Raus Rule
摘要: 本文针对带有扰动算子的非线性反问题提出了一种基于Hanke-Raus启发式停止准则的Landweber迭代法，并在一定的假设条件下分析了此迭代法的收敛阶。
Abstract: In this paper, a Landweber iteration based on the Hanke-Raus rule for nonlinear inverse problems with perturbed operators is proposed, and the convergence order of this method is analyzed under certain reasonable assumptions.
文章引用：谷苒, 董超峰. 带扰动算子的Landweber迭代在Hanke-Raus准则下的收敛阶分析[J]. 应用数学进展, 2024, 13(1): 61-69. https://doi.org/10.12677/AAM.2024.131008

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