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Amaya, J. (1985) On the Convergence of Curvilinear Search Algorithms in Unconstrained Optimization. Operations Research Letters, 4, 31-34.
http://dx.doi.org/10.1016/0167-6377(85)90048-3

has been cited by the following article:

• TITLE: Global Convergence of Curve Search Methods for Unconstrained Optimization

  AUTHORS: Zhiwei Xu, Yongning Tang, Zhen-Jun Shi

  KEYWORDS: Unconstrained Optimization, Curve Search Method, Global Convergence, Convergence Rate

  JOURNAL NAME: Applied Mathematics, Vol.7 No.7, April 28, 2016

  ABSTRACT: In this paper we propose a new family of curve search methods for unconstrained optimization problems, which are based on searching a new iterate along a curve through the current iterate at each iteration, while line search methods are based on finding a new iterate on a line starting from the current iterate at each iteration. The global convergence and linear convergence rate of these curve search methods are investigated under some mild conditions. Numerical results show that some curve search methods are stable and effective in solving some large scale minimization problems.