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References in periodicals archive ?
Nonlinear conjugate gradient methods. In Wiley Encyclopedia of Operations Research and Management Science.
Modified Conjugate Gradient Method for Linear Interval Systems.
Polyak, "The conjugate gradient method in extreme problems, USSR Comput," USSR Computational Mathematics and Mathematical Physics, vol.
The conjugate gradient method is also used to realize hyperbolic formula fitting.
[14] proposed a new derivative-free preconditioned conjugate gradient method to solve large-scale square and undetermined nonlinear equations.
Huang, "A note about WYL's conjugate gradient method and its applications," Applied Mathematics and Computation, vol.
In Section 3, we propose a new modified three-parameter conjugate gradient method and establish global convergence results for relative algorithm under modified Wolfe-Powell line search.
Nonlinear conjugate gradient methods are widely studied and comprise a class of unconstrained optimization algorithms which are characterized by low memory requirements and strong global convergence properties (see the survey [15] and later references [3, 14]).
Generally inexact line search is used in order to get the global convergence of conjugate gradient method, such as Wolfe line search or strong Wolfe line search; the Wolfe line search is given as
In particular, here the approach is combined with the conjugate gradient method. This is possible because the resulting preconditioner is symmetric and positive definite (SPD), as can be seen from (2.2) and the observations that L = [U.sup.T] while D has strictly positive diagonal entries.
The goal was to improve the convergence of parallelized conjugate gradient method after preconditioning by pseudo-cliques balancing.