与改进的正则化稳定因子相结合，提出新的快速正则化反演方法。
Combined with a stable regularizing filter, a new fast regularizing inversion is put forward further.
本文在讨论反演基本问题的基础上，用共轭梯度法实现了核磁共振的一维正则化反演。
After discussing the basic inversion problem, this paper achieve the 1d SNMR Tikhonov regularization inverse by conjugate gradient method.
实际观测数据计算表明，回归M-估计和常规正则化反演方法结合，能提高弛豫谱估计精度和孔隙率计算效果。
The results of real data calculation show that combining RME with ordinary regularization inversion can improve the precision of relaxation spectra and the effect of calculated porosity.
在理想状态下，假定火源为线火源，采用离散正则化方法对矿井隐蔽线火源进行反演。
Under the perfect condition, supposes fire as line fire, applying discrete regularization method into the inversion of coal mine concealed fi.
本文提出了求解复杂结构弹塑性物性辨识问题的正则化最小二乘迭代反演算法。
The regularized least square iterative algorithm has been presented for the estimation of material parameters of complicated structures.
本文在求解波动方程反问题的GR（梯度正则化法）方法基础上提出一种一维波动问题的分层反演方法。
The author puts forward the layer-by-layer inversion method for one-dimensional wave problem, which is based on the gradient regularization(GR)method for wave equation inversion.
合理选择小正则化参数或者缩小反演范围能改善反演质量。
Choosing a small regularization parameter or shortening the inversion range properly can help improve the inversion quality.
第二章主要介绍反演问题的正则化方法和最优化方法。
In Chapter 2, we concentrate on the regularization methods and optimization methods for inverse problems.
第二章主要介绍反演问题的正则化方法和最优化方法。
In Chapter 2, we concentrate on the regularization methods and optimization methods for inverse problems.
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