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A New Method with Sufficient Descent Property for Unconstrained Optimization

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  • Weiyi Qian
  • Haijuan Cui

Abstract

Recently, sufficient descent property plays an important role in the global convergence analysis of some iterative methods. In this paper, we propose a new iterative method for solving unconstrained optimization problems. This method provides a sufficient descent direction for objective function. Moreover, the global convergence of the proposed method is established under some appropriate conditions. We also report some numerical results and compare the performance of the proposed method with some existing methods. Numerical results indicate that the presented method is efficient.

Suggested Citation

  • Weiyi Qian & Haijuan Cui, 2014. "A New Method with Sufficient Descent Property for Unconstrained Optimization," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, February.
  • Handle: RePEc:hin:jnlaaa:940120
    DOI: 10.1155/2014/940120
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    Cited by:

    1. Siti Farhana Husin & Mustafa Mamat & Mohd Asrul Hery Ibrahim & Mohd Rivaie, 2020. "An Efficient Three-Term Iterative Method for Estimating Linear Approximation Models in Regression Analysis," Mathematics, MDPI, vol. 8(6), pages 1-12, June.

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