Spectral gradient method for impulse noise removal

In this paper, we propose a new spectral gradient method for removing impulse noise in the second phase of the two-phase method. An attractive property of the proposed method is that the search direction satisfies the sufficient descent property at each iteration, which is independent of any line search. Under Armijo-type line search, the global convergence of the proposed method is simplify established for general smooth functions. The preliminary numerical experiments are given to indicate the efficiency of the proposed method for impulse noise removal.