病态总体最小二乘的混合正则化算法

病态问题在大地测量数据处理中广泛存在，单一的Tikhonov正则化算法会造成求解过度平滑，而TV正则化可以更有效地抵抗噪声。本文将Tikhonov正则化和TV正则化两种方法有效结合，推导了具体求解公式并给出相应迭代算法。计算表明，本文提出的方法在处理病态总体最小二乘问题上稳定性更高。

A Hybrid Regularization Algorithm to Ill-Posed Total Least Squares

Single Tikhonov regularization tends to over-smooth solutions. TV regularization effectively resists noise. Therefore, in this paper, we regularize the ill-posed problem by incorporating both Tikhonov and TV regularization, and give the iterative algorithm. Two numerical experiments are carried out to demonstrate the efficiency and performance of the hybrid regularization method.