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Two modified hybrid conjugate gradient methods based on a hybrid secant equation

Babaie Kafaki, S ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.3846/13926292.2013.756832
  3. Publisher: 2013
  4. Abstract:
  5. Taking advantage of the attractive features of Hestenes-Stiefel and Dai-Yuan conjugate gradient methods, we suggest two globally convergent hybridizations of these methods following Andrei's approach of hybridizing the conjugate gradient parameters convexly and Powell's approach of nonnegative restriction of the conjugate gradient parameters. In our methods, the hybridization parameter is obtained based on a recently proposed hybrid secant equation. Numerical results demonstrating the efficiency of the proposed methods are reported
  6. Keywords:
  7. Conjugate gradient method ; Qlobal convergence ; Large-scale optimization ; Secant equation ; Unconstrained optimization
  8. Source: Mathematical Modelling and Analysis ; Volume 18, Issue 1 , 2013 , Pages 32-52 ; 13926292 (ISSN)
  9. URL: http://www.tandfonline.com/doi/abs/10.3846/13926292.2013.756832