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Convergence of the DFP Algorithm Without Exact Line Search

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  • D. Pu

    (Tongji University)

Abstract

In this paper, we consider the DFP algorithm without exact line search. We strengthen the conditions on the line search and prove that, under the new line search conditions, the DFP algorithm is globally convergent, Q-superlinearly convergent, and n-step quadratically convergent.

Suggested Citation

  • D. Pu, 2002. "Convergence of the DFP Algorithm Without Exact Line Search," Journal of Optimization Theory and Applications, Springer, vol. 112(1), pages 187-211, January.
    • Handle: RePEc:spr:joptap:v:112:y:2002:i:1:d:10.1023_a:1013004914923
    DOI: 10.1023/A:1013004914923
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    Cited by:

    1. Fatemeh Dargahi & Saman Babaie-Kafaki & Zohre Aminifard, 2024. "Eigenvalue Analyses on the Memoryless Davidon–Fletcher–Powell Method Based on a Spectral Secant Equation," Journal of Optimization Theory and Applications, Springer, vol. 200(1), pages 394-403, January.
    2. Najib Ullah & Abdullah Shah & Jamilu Sabi’u & Xiangmin Jiao & Aliyu Muhammed Awwal & Nuttapol Pakkaranang & Said Karim Shah & Bancha Panyanak, 2023. "A One-Parameter Memoryless DFP Algorithm for Solving System of Monotone Nonlinear Equations with Application in Image Processing," Mathematics, MDPI, vol. 11(5), pages 1-26, March.

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