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D. F. Shanno, “On the Convergence of a New Conjugate Gradient Algorithm,” SIAM Journal on Numerical Analysis, Vol. 15, No. 6, 1978, pp. 1247-1257. doi:10.1137/0715085

has been cited by the following article:

• TITLE: On the Global Convergence of the PERRY-SHANNO Method for Nonconvex Unconstrained Optimization Problems

  AUTHORS: Linghua Huang, Qingjun Wu, Gonglin Yuan

  KEYWORDS: Unconstrained Optimization, Nonconvex Optimization, Global Convergence

  JOURNAL NAME: Applied Mathematics, Vol.2 No.3, March 24, 2011

  ABSTRACT: In this paper, we prove the global convergence of the Perry-Shanno’s memoryless quasi-Newton (PSMQN) method with a new inexact line search when applied to nonconvex unconstrained minimization problems. Preliminary numerical results show that the PSMQN with the particularly line search conditions are very promising.