In this work, a new iterative method is proposed for obtaining the approximate solution of a class of Hammerstein type Integral Equations System. The main structure of this method is based on the Richardson iterative method for solving an algebraic linear system of equations. Some conditions for existence and unique solution of this type equations are imposed. Convergence analysis and error bou...

Abstract In this work, we analyze a strategy for solving symmetric algebraic Riccati equation based on the use of efficient high-order iterative scheme. This scheme is more than Newton’s method. Then, propose two two-stage predictor–corrector schemes using an with good accessibility as predictor iteration and corrector iteration. The constructed turn out to be competitive compared commonly used...

In structural reliability analysis, Hasofer-Lind and Rackwitz-Fiessler (HL-RF) method is a widely used approximation for evaluating the index. However, by increasing nonlinearity or complexity in limit state function of structure, HL-RF may get trouble convergence. This paper represents an iterative algorithm that tries to minimize Lagrange function, associated with problem. each iteration this...

This paper discusses algorithms for solving Markov decision processes (MDPs) that have monotone optimal policies. We propose a two-stage alternating convex optimization scheme that can accelerate the search for an optimal policy by exploiting the monotone property. The first stage is a linear program formulated in terms of the joint state-action probabilities. The second stage is a regularized ...