G. L. Yuan and Z. X. Wei, “The superlinear convergence analysis of a nonmonotone BFGS algorithm on convex objective functions,” Acta Mathematica Sinica, English Series, Vol. 24, No. 1, pp. 35-42, 2008.

has been cited by the following article:

• TITLE: A Nonmonotone Line Search Method for Regression Analysis

  AUTHORS: Gonglin Yuan, Zengxin Wei

  KEYWORDS: regression analysis, fitting method, optimization, nonmonotone, global convergence

  JOURNAL NAME: Journal of Service Science and Management, Vol.2 No.1, March 21, 2009

  ABSTRACT: In this paper, we propose a nonmonotone line search combining with the search direction (G. L. Yuan and Z. X.Wei, New Line Search Methods for Unconstrained Optimization, Journal of the Korean Statistical Society, 38(2009), pp. 29-39.) for regression problems. The global convergence of the given method will be established under suitable conditions. Numerical results show that the presented algorithm is more competitive than the normal methods.