中文摘要：

针对线性逆问题，把原问题的算子方程转化为带有Tikhonov正则项的无约束优化问题，提出一个求解线性逆问题的新谱共轭梯度法，并证明算法的全局收敛性.数值结果表明，新算法是有效的.

英文摘要：

In this study?a n e w spectral conjugate gradient m e t h o d is presented to solve linear inversep r o b l e m s?w h i c h are transferred into the linear unconstrained optimization with T i k h o n o vregularization.T h e global convergence of the proposed s c h e m e is analyzed.T h e n e w algorithmis c o m p a r e d with L a n d w e b e r,T S V D a n d T V m e t h o d s,a n d numerical results illustrate the efficiencyof this m e t h o d.