Simple question about trust-region optimization

[ggyyree]

I am dealing with tomography inverse problem by using trust-region optimization now. I compared my result with other optimization algorithms found that trust-region results are much better. May I ask if the trust-region optimization subproblem contains a regularization already itself please? If it contains regularization itself and how does this related to Tikhonov regularization please?

 

By the way, I am using Matlab fminunc to implement the large scale trust-region Newton algorithm.

 

Thanks a lot and I am looking forward to your reply!