nonlinear equations system

A Newton-Fixed Point Homotopy Algorithm for Nonlinear Complementarity Problems with Generalized Monotonicity

  • Yun-Chol Jong
    • Categories Complementarity and Variational Inequalities, Generalized Convexity/Monoticity Tags , , ,

    In this paper has been considered probability-one global convergence of NFPH (Newton-Fixed Point Homotopy) algorithm for system of nonlinear equations and has been proposed a probability-one homotopy algorithm to solve a regularized smoothing equation for NCP with generalized monotonicity. Our results provide a theoretical basis to develop a new computational method for nonlinear equation systems … Read more

    A NEW PROBABILISTIC ALGORITHM FOR SOLVING NONLINEAR EQUATIONS SYSTEMS

  • Tran Van Hao
  • Nguyen Huu Thong
    • Categories Nonlinear Optimization, Nonlinear Systems and Least-Squares Tags , ,

    In this paper, we consider a class of optimization problems having the following characteristics: there exists a fixed number k which does not depend on the size n of the problem such that if we randomly change the value of k variables, it has the ability to find a new solution that is better than … Read more