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V. Torczon, “On the Convergence of the Multidirectional Search Algorithm,” SIAM Journal on Optimization, Vol. 1, No. 1, 1991, pp. 123-145. doi:10.1137/0801010

has been cited by the following article:

• TITLE: PRP-Type Direct Search Methods for Unconstrained Optimization

  AUTHORS: Qunfeng Liu, Wanyou Cheng

  KEYWORDS: Direct Search Methods, Descent Conjugate Gradient Methods, Frame-Based Methods, Global Convergence, Data Profile, Performance Profile

  JOURNAL NAME: Applied Mathematics, Vol.2 No.6, June 22, 2011

  ABSTRACT: Three PRP-type direct search methods for unconstrained optimization are presented. The methods adopt three kinds of recently developed descent conjugate gradient methods and the idea of frame-based direct search method. Global convergence is shown for continuously differentiable functions. Data profile and performance profile are adopted to analyze the numerical experiments and the results show that the proposed methods are effective.