关于用于正则化非线性不适定方程组的最速下降 -Kaczmarz 方法
数值分析
2008-08-03 v3
摘要
我们研究了结合松弛 (loping) Kaczmarz 策略的改进最速下降法，以求得非线性不适定算子方程组的稳定解。我们证明了所提出的方法是一种收敛的正则化方法。针对与光声断层扫描相关的线性问题以及与半导体器件测试相关的非线性问题，给出了数值测试。
引用
@article{arxiv.0801.3088,
title = {On Steepest-Descent-Kaczmarz Methods for Regularizing Systems of Nonlinear Ill-posed Equations},
author = {A. De Cezaro and M. Haltmeier and A. Leitao and O. Scherzer},
journal= {arXiv preprint arXiv:0801.3088},
year = {2008}
}
备注
22 pages (8 figures). For this version we have corrected some typos and also have corrected Equation (25) in the proof of Theorem 3.3