An auxiliary function method for constrained systems of nonlinear equations

Wu Z., Bai F., MƏMMƏDOV M.

20th International Conference EURO Mini Conference: Continuous Optimization and Knowledge-Based Technologies, EurOPT 2008, Neringa, Lithuania, 20 - 23 May 2008, pp.259-265, (Full Text) identifier

  • Nəşrin Növü: Conference Paper / Full Text
  • Çap olunduğu şəhər: Neringa
  • Ölkə: Lithuania
  • Səhifə sayı: pp.259-265
  • Açar sözlər: Approximate solution, Auxiliary function method, Constrained systems of nonlinear equations
  • Açıq Arxiv Kolleksiyası: Konfrans Materialı
  • Adres: Bəli

Qısa məlumat

In this paper, we propose an auxiliary function method to solve constrained systems of nonlinear equations. By introducing an auxiliary function, an unconstrained (box-constrained) optimization problem is constructed for a given constrained system of nonlinear equations. It is shown that any local minimizer of the constructed unconstrained optimization problem is an approximate solution to the given constrained system when parameters are appropriately chosen, and the precision for approximation can be preset. It is also shown that any accumulation point of the local minimizers of the constructed unconstrained optimization problems with a sequence of parameters tending to zero is a solution to the given constrained system of nonlinear equations.