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The Dai-Liao nonlinear conjugate gradient method with optimal parameter choices
Minimizing two different upper bounds of the matrix w hich generates search directions of the nonlinear
conjugate gradient method proposed by Dai and Liao, two modified conjugate gradient methods are pro-posed. Under ...
A modified scaled conjugate gradient method with global convergence for nonconvex functions
Following Andrei’s approach, a modified scaled memoryless BFGS preconditioned conjugate gradient method is proposed based on the modified secant equation suggested by Li and Fukushima. It is shown that the method is globally ...
A descent family of Dai-Liao conjugate gradient methods
Based on an eigenvalue study, a descent class of Dai–Liao conjugate gradient methods is proposed. An interesting feature of the proposed class is its inclusion of the efficient nonlinear conjugate gradient methods proposed ...
Two modified three-term conjugate gradient methods with sufficient descent property
Based on the insight gained from the three-term conjugate gradient methods suggested by Zhang et al. (Optim Methods Softw 22:697–711,2007) two nonlinear conjugate gradient methods are proposed, making modifications on the ...
Two hybrid nonlinear conjugate gradient methods based on a modified secant equation
In order to take advantage of the attractive features of the Hestenes–Stiefel
and Dai–Yuan conjugate gradient (CG) methods, we suggest two
hybridizations of these methods based on Andrei’s approach of ...