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ABSTRACT In this article, by slightly modifying the search direction of the nonmonotone Hestenes–Stiefel method, a variant Hestenes–Stiefel conjugate gradient method is proposed that satisfies the sufficient descent condition independent… Click to show full abstract
ABSTRACT In this article, by slightly modifying the search direction of the nonmonotone Hestenes–Stiefel method, a variant Hestenes–Stiefel conjugate gradient method is proposed that satisfies the sufficient descent condition independent of any line search. This algorithm also possesses information about the gradient value and the function value. We establish the global convergence of our methods without the assumption that the steplength is bounded away from zero. Numerical results illustrate that our method can efficiently solve the test problems, and therefore is promising.
Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2017
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