Dependent and Independent Constraints for a Multiple Objective Iterative Algorithm

Constrained iterative algorithms have been applied primarily to single objective applications,1 where by objective we mean that distribution that is to be reconstructed from partial information or synthesized with desired characteristics. In a recent work by the authors,2 Fienup's error-reduction algorithm was extended to multiple objectives, as shown in Fig. 1, and was applied to a specific synthesis problem with two objectives. In this paper, we illustrate an important characteristic of multiple objective iterative algorithms, dependent constraints.