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Global Convergence Of A Special Case Of The Dai–Yuan Family Without Line Search

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  • HUI ZHU

    (Department of Mathematics, Tongji University, China)

  • XIONGDA CHEN

    ()
    (Department of Mathematics, Tongji University, China)

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    Abstract

    Conjugate gradient methods are efficient to minimize differentiable objective functions in large dimension spaces. Recently, Dai and Yuan introduced a tree-parameter family of nonlinear conjugate gradient methods and show their convergence. However, line search strategies usually bring computational burden. To overcome this problem, in this paper, we study the global convergence of a special case of three-parameter family(the CD-DY family) in which the line search procedures are replaced by fixed formulae of stepsize.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal Asia-Pacific Journal of Operational Research.

    Volume (Year): 25 (2008)
    Issue (Month): 03 ()
    Pages: 411-420

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    Handle: RePEc:wsi:apjorx:v:25:y:2008:i:03:p:411-420

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    Related research

    Keywords: Unconstrained optimization; conjugate gradient methods; global convergence;

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