Original paper
Spectral method and its application to the conjugate gradient method
Abstract
A new method used to prove the global convergence of the nonlinear conjugate gradient methods, the spectral method, is presented in this paper, and it is applied to a new conjugate gradient algorithm with sufficiently descent property. By analyzing the descent property, several concrete forms of this algorithm are suggested. Under standard Wolfe line searches, the global convergence of the new algorithm is proven for nonconvex functions....
Paper Details
Title
Spectral method and its application to the conjugate gradient method
Published Date
Aug 1, 2014
Volume
240
Pages
339 - 347
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