Iterative Algorithms in Inverse Problems

Solving random inverse heat conduction problems using PSO and genetic algorithms

The main purpose of this paper is to solve an inverse random differential equation problem using evolutionary algorithms. Particle Swarm Algorithm and Genetic Algorithm are two algorithms that are used in this paper. In this paper, we solve the inverse problem by solving the inverse random differential equation using Crank-Nicholson's method. Then, using the particle swarm optimization algorith...

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems

Iterative Methods for Equilibrium Problems, Variational Inequalities and Fixed Points

Common Zero Points of Two Finite Families of Maximal Monotone Operators via Proximal Point Algorithms

In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monot...

Iterative Choices of Regularization Parameters in Linear Inverse Problems

We investigate possibilities of choosing reasonable regularization parameters for the output least squares formulation of linear inverse problems. Based on the Morozov and damped Morozov discrepancy principles, we propose two iterative methods, a quasi-Newton method and a two-parameter model function method, for finding some reasonable regularization parameters in an efficient manner. These dis...