Operations Research Transactions ›› 2019, Vol. 23 ›› Issue (2): 17-30.doi: 10.15960/j.cnki.issn.1007-6093.2019.02.002

Previous Articles     Next Articles

A cubic regularization method for solving nonsmooth equations

MIAO Xiaonan1, GU Jian2,*, XIAO Xiantao1   

  1. 1. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China;
    2. School of Sciences, Dalian Ocean University, Dalian 116024, Liaoning, China
  • Received:2017-03-24 Online:2019-06-15 Published:2019-06-15

Abstract: A cubic regularization method and its convergence for solving a nonsmooth system of equations are studied in this paper. By applying the classical trust region technique, the proposed method is ensured to be globally convergent. When BDregular condition is satisfied and the subproblem is inexactly solved, we analyze the local convergence rate of the nonsmooth cubic regularization method. Finally, the efficiency of our method is verified by numerical results.

Key words: cubic regularization method, nonsmooth equations, local convergence

CLC Number: