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J. B. Jian, D. L. Han and Q. J. Xu, “A New Sequential Systems of Linear Equations Algorithm of Feasible Descent for Inequality Constrained Optimization,” Acta Mathematica Sinica, English Series, Vol. 26, No. 12, 2010, pp. 2399-2420. doi:10.1007/s10114-010-7432-0

has been cited by the following article:

• TITLE: A Variable Metric Algorithm with Broyden Rank One Modifications for Nonlinear Equality Constraints Optimization

  AUTHORS: Chunyan Hu, Zhibin Zhu

  KEYWORDS: Equality Constrained Optimization; Variable Metric Algorithm; Broyden Rank One Modification;Superlinear Convergence

  JOURNAL NAME: Open Journal of Optimization, Vol.2 No.1, March 29, 2013

  ABSTRACT: In this paper, a variable metric algorithm is proposed with Broyden rank one modifications for the equality constrained optimization. This method is viewed expansion in constrained optimization as the quasi-Newton method to unconstrained optimization. The theoretical analysis shows that local convergence can be induced under some suitable conditions. In the end, it is established an equivalent condition of superlinear convergence.