Image Reconstruction Using a Modified Three-Term Conjugate Gradient Method

In a recent attempt to solve the image reconstruction problem, Jiang et al. [۱] introduced a new family of hybrid three-term conjugate gradient techniques which turned out to be theoretically effective and numerically efficient. Here, according to their study, we suggest a new three-term conjugate gradient algorithm as a modified version of the Polak–Ribière–Polyak method. Numerical experiments on a set of CUTEr test functions and also, on some image reconstruction problems are done. They show that the proposed method performs promisingly in the computational viewpoint.

Keywords:

Nonlinear programming , unconstrained optimization , image reconstruction , conjugate gradient method