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New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems
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DOI：10.1016/j.amc.2005.11.150.png)
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摘要
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We propose new conjugate gradient formulas for computing the search directions for unconstrained optimization problems. The new formulas turn out to be the conjugate descent formula if exact line searches are made. Some formulas possess the sufficient descent property without any line searches. General convergence results for the proposed formulas with the weak Wolfe-Powell conditions are studied. We prove that some of the formulas with the steplength technique which ensures the Zoutendijk condition to be held are globally convergent. In addition, the global convergence results for some other formulas with the standard Armijo line search are also given, Preliminary numerical results show that the proposed methods are very promising. (c) 2005 Elsevier Inc. All rights reserved.
Keyword:
unconstrained optimization
new conjugate gradient formulas
large-scale
Wolfe-Powell conditions
Armijo line search
global convergence
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
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