It is well known that the gradient-projection algorithm GPA is very useful in solving constrained convex minimization problems. In this paper, we combine a general iterative method with the gradient-projection algorithm to propose a hybrid gradient-projection algorithm and prove that the sequence generated by the hybrid gradient-projection algorithm converges in norm to a minimizer of constrain...

A gradient method for solving an optimal control problem described by a parabolic equation is considered. The gradient projection method is applied to solve the problem. The convergence of the projection algorithm is investigated.

We propose an edge-preserving filtering method with a novel use of the L0 gradient. Our method, termed as the L0 gradient projection, is formulated as the minimization of a quadratic data-fidelity to an input image subject to the constraint that theL0 gradient, the number of non-zero gradients, of the output image is less than a user-given parameter α. This strategy is much more intuitive than ...