Conjugate Gradient methods
Three New Hybrid Conjugate Gradient Methods for Optimization
... nonlinear conjugate gradient methods are presented, which produce sufficient descent search direction at every ...proposed methods converge glo- bally for general nonconvex ...hybrid ...
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Three modified Polak Ribière Polyak conjugate gradient methods with sufficient descent property
... The PRP method is generally regarded to be one of the most efficient conjugate gradient methods and has been studied by many researchers [, , ]. Polak and Ribière [] proved that the PRP method with ...
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A family of conjugate gradient methods for large scale nonlinear equations
... projection methods in [, ] and the conjugate gradient methods in [, ], we propose a new family of conjugate gradient projection methods for solving nonlinear ...
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Conjugate Gradient Methods for Computing Weighted Analytic Center for Linear Matrix Inequalities Using Exact and Quadratic Interpolation Line Searches
... four conjugate gradient methods The methods considered are the classical methods by Hestenes-Stiefel (HS), Fletcher and Reeves (FR), Polak and Ribiere (PR) discussed in [14] and a ...
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Dai Kou type conjugate gradient methods with a line search only using gradient
... type conjugate gradient methods are developed to solve the optimality condition of an unconstrained optimization, they only utilize gradient information and have broader application ...
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Modified Fletcher Reeves and Dai Yuan Conjugate Gradient Methods for Solving Optimal Control Problem of Monodomain Model
... In this paper, we present the numerical solution for the optimal control problem of monodomain model with Rogers- modified FitzHugh-Nagumo ion kinetic. The monodomain model, which is a well-known mathematical model for ...
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Numerical Experiments with the Lagrange Multiplier and Conjugate Gradient Methods (ILMCGM)
... In the iterative steps 2 through 6 above, denotes the descent direction at ℎ step of the algorithm, , is the step length of the descent sequence and denotes the gradient of at . Steps 3, 4 and 5 of the algorithm ...
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Approximate Riemannian Conjugate Gradient Learning for Fixed-Form Variational Bayes
... Newton methods and the less efficient conjugate gradient methods better suited for medium- to large-scale ...search methods employed by the ...the gradient-based ...
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A DESCENT PRP CONJUGATE GRADIENT METHOD FOR UNCONSTRAINED OPTIMIZATION
... The PRP method generally performs better than the other conjugate gradient methods in practice. However, it is not generally a descent method when Armijo-type line search is used, thus [10] and [4] ...
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An alternative conjugate gradient approach for large-scale symmetric nonlinear equations
... the conjugate gradient methods are among the popular used methods for unconstrained optimization ...of conjugate gradient methods for large-scale symmetric nonlinear ...
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A nonmonotone hybrid conjugate gradient method for unconstrained optimization
... hybrid conjugate gradient methods were presented in [–] after the first hy- brid conjugate algorithm was proposed by Touati-Ahmed and Storey ...hybrid conjugate gradient method ...
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3. A New Conjugate Gradient for Nonlinear Unconstrained Optimization
... The conjugate gradient method is a very useful technique for solving minimization problems and has wide applications in many ...new conjugate gradient methods by) for nonlinear ...
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Global convergence of a modified conjugate gradient method
... corresponding methods are generally called PRP, LS, and HZ conjugate gradient ...these methods are equivalent in the case that an exact line search is ...
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A Conjugate Gradient Method for Unconstrained Optimization Problems
... In this section, we report some results of the numerical experiments. It is well known that there exist many new conjugate gradient methods see 1, 13–16, 18, 19, 29, 30 which have good properties and ...
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A scaled three term conjugate gradient method for unconstrained optimization
... Conjugate gradient methods play an important role in many fields of application due to their simplicity, low memory requirements, and global convergence ...three-term conjugate gradient ...
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A hybrid conjugate gradient method for optimization problems
... where k is a scalar which determines the differ- ent conjugate gradient methods [4,5,8,9,12,13,15,16,18, 20,21,25,33] etc., and g k is the gradient of f x ( ) at the point x k . The ...
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Optimal control based on nonlinear conjugate gradient method in cardiac electrophysiology
... nonlinear conjugate gradient ...optimization methods are proved to be superior to the classical methods in terms of optimization ...nonlinear conjugate gradient method is ...
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A new accelerated conjugate gradient method for large scale unconstrained optimization
... that conjugate gradient methods combining with BFGS updat- ing technique represent an interesting computational innovation which produce efficient conjugate gradient ...new methods ...
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A New Conjugancy Coefficient of Conjugate Gradient Method
... nonlinear conjugate gradient method is a very useful technique for solving large scale minimization problems and has wide applications in many ...The Conjugate Gradient method is one of the ...
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A modified three term PRP conjugate gradient algorithm for optimization models
... PRP method is very efficient as regards numerical performance, but it fails as regards the global convergence for the general functions under Wolfe line search technique and this is a still open problem; many scholars want ...
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