[PDF] Top 20 A new accelerated conjugate gradient method for large scale unconstrained optimization
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A new accelerated conjugate gradient method for large scale unconstrained optimization
... the new method and the choice of parameter in generated search ...obtained method will be established under appropriate conditions in ...efficient conjugate gradient algorithms for ... See full document
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Modified HS conjugate gradient method for solving generalized absolute value equations
... nonlinear conjugate gradi- ent methods such as Hestenes–Stiefel (HS) method [8], Fletcher–Reeves (FR) method [7], Polak–Ribiere–Polyak (PRP) method [20, 21], Dai–Yuan (DY) method [6], ... See full document
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3. A New Conjugate Gradient for Nonlinear Unconstrained Optimization
... methods, HS is known as Hestenes and Steifel [5], FR is Fletcher and Reeves [8], PR is PolakandRibiere [3], CD is Conjugate Descent [9],BA2 is AL - Bayati, A.Y. and AL-Assady[2], LS is Liu and Storey [12], DY is ... See full document
13
New Homotopy Conjugate Gradient for Unconstrained Optimization using Hestenes- Stiefel and Conjugate Descent
... The results are given in below table is specifically quote the number of functions NOF and the number of iteration NOI .experimental results in below table confirm that the new CG method is superior to ... See full document
6
Modified nonlinear conjugate gradient method with sufficient descent condition for unconstrained optimization
... PRP method, which is generally believed to be the most efficient conjugate gradient methods, and has got meticulous in recent ...the method is that they essentially perform a restart if a bad ... See full document
12
A New Preconditioned Conjugate Gradient Method for Optimization
... The unconstrained optimization test problems used in our experiments are listed in Table I and are primarily found in [14] and ...CUTEr unconstrained problem collection ...200 new examples ... See full document
8
An alternative conjugate gradient approach for large-scale symmetric nonlinear equations
... handling large-scale problems for which the Jacobian is either not available or requires a low amount storage, the best method is CG ...the conjugate gradient methods are among the ... See full document
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Comparative Study of Unconstrained Mechanical Optimization Methods Based on Two variable Rosenbrock Function
... The unconstrained optimization method (UOM) plays an important role in the field of physics, mathematics, statistics, ...the conjugate direction, followed by the negative gradient ... See full document
7
A new smoothing modified three term conjugate gradient method for \(l {1}\) norm minimization problem
... ent method, GPSR method, and other methods proposed in [2, 9, 10, 14], we can see that the smoothing modified three-term conjugate gradient method is simple and needs small ...smoothing ... See full document
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Solving Large Scale Unconstrained Minimization Problems by a New ODE Numerical Integration Method
... for large scale nonlinear equations F X = 0 , a new ODE solving method was ...has gradient structure ...the new method is very suitable for this ...traditional ... See full document
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A DESCENT PRP CONJUGATE GRADIENT METHOD FOR UNCONSTRAINED OPTIMIZATION
... PRP conjugate gradient method has sufficient descent property and ensures that the PRP conjugate gradient method AN1 is globally convergent for general functions under proper ... See full document
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A family of conjugate gradient methods for large scale nonlinear equations
... the conjugate gradient methods in [, ], we propose a new family of conjugate gradient projection methods for solving nonlinear problem ...The new designed method is ... See full document
8
A conjugate gradient algorithm and its application in large scale optimization problems and image restoration
... solve large-scale unconstrained optimization problems, a modified PRP conjugate gradient algorithm is proposed and is found to be interesting because it combines the steepest ... See full document
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A double direction conjugate gradient method for solving large-scale system of nonlinear equations
... CG method for solving unconstrained optimization problems which was modified in 2011 see [15] to solve symmetric nonlinear system of ...CG method for solving symmetric system of nonlinear ... See full document
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A hybrid conjugate gradient method for optimization problems
... solving optimization problems (see [24,26,28-32,34] etc.), where the conjugate gradient(CG) method is a powerful line search method because of its simplicity and its very low memory ... See full document
6
A conjugate gradient algorithm for large scale unconstrained optimization problems and nonlinear equations
... The optimization model is an important mathematic problem since it has been applied to various fields such as economics, engineering, and physics (see ...address large-scale unconstrained ... See full document
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Minimization of Unconstrained Nonpolynomial Large-Scale Optimization Problems Using Conjugate Gradient Method Via Exact Line Search
... There have been various attempts to extend the quasi- Newton updating to the large-scale case, and two of them have proved to be very successful in different contexts. The first idea consists of exploiting ... See full document
5
A New Descent Nonlinear Conjugate Gradient Method for Unconstrained Optimization
... [1] M. Al-Baali, “Descent Property and Global Convergence of the Fletcher-Reeves Method with Inexact Line Search,” IMA Journal of Numerical Analysis, Vol. 5, No. 1, 1985, pp. 121-124. doi:10.1093/imanum/5.1.121 ... See full document
5
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 ... See full document
14
A scaled three term conjugate gradient method for unconstrained optimization
... this method is that both the sufficient and the conjugacy condi- tions are satisfied and we have global convergence for a uniformly convex ...three-term conjugate gradient method, we are ... See full document
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