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A family of conjugate gradient methods for large scale nonlinear equations

A family of conjugate gradient methods for large scale nonlinear equations

... solution methods for solving the problem. The first one is first-order methods including the trust region method, the Levenberg-Marquardt method and the projection ...second-order methods including the ... See full document

8

A STUDY ON CERTAIN NEW NUMERICAL ALGORITHMS FOR MINIMIZATION OF NON LINEAR FUNCTIONS

A STUDY ON CERTAIN NEW NUMERICAL ALGORITHMS FOR MINIMIZATION OF NON LINEAR FUNCTIONS

... unconstrained nonlinear minimization problems arising in the diversified field of engineering and technology, we have several methods to get ...multi-step nonlinear conjugate gradient ... See full document

12

A trust region spectral method for large scale systems of nonlinear equations

A trust region spectral method for large scale systems of nonlinear equations

... solving large-scale nonlinear equations (see ...spectral gradient, BFGS quasi- Newton, and conjugate gradient methods can solve large-scale ... See full document

12

A double direction conjugate gradient method for solving large-scale system of nonlinear equations

A double direction conjugate gradient method for solving large-scale system of nonlinear equations

... Quasi-Newton methods for solving nonlinear system of ...symmetric nonlinear system of ...of nonlinear equations without computing Jacobian via special structure of the underlying ... See full document

19

Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods

Root finding of a system of nonlinear equations using the combination of newton, conjugate gradient and quadrature methods

... I would also like to thank my beloved family. They will always be there to listen and comfort me when I get stuck with obstacles and challenges. They have always been willing to provide their concern and mentally ... See full document

18

Solving a Large Scale Nonlinear System of Monotone Equations by using a
Projection Technique

Solving a Large Scale Nonlinear System of Monotone Equations by using a Projection Technique

... of large-scale non-linear equations by a new projection ...use conjugate gradient approaches combining with projection techniques for solving ... See full document

7

A new smoothing modified three term conjugate gradient method for \(l {1}\) norm minimization problem

A new smoothing modified three term conjugate gradient method for \(l {1}\) norm minimization problem

... nonsmooth equations-based method [10] and some related methods [11, ...ing gradient method has been given for solving problem (1) based on the new transformed absolute value equations in [14, ... See full document

14

A quasi Newton algorithm for large scale nonlinear equations

A quasi Newton algorithm for large scale nonlinear equations

... for large-scale nonlinear equations is designed by the following steps: (i) a conjugate gradient (CG) algorithm is designed as a sub-algorithm to obtain the initial points of the ... See full document

16

A conjugate gradient algorithm for large scale unconstrained optimization problems and nonlinear equations

A conjugate gradient algorithm for large scale unconstrained optimization problems and nonlinear equations

... From the above figures, we safely arrive at the conclusion that the proposed algorithm is perfect compared to similar optimization methods since the algorithm (1.10) is perfect to a large extent. In Fig. 4 ... See full document

19

An alternative conjugate gradient approach for large-scale symmetric nonlinear equations

An alternative conjugate gradient approach for large-scale symmetric nonlinear equations

... Abstract. Nonlinear conjugate gradient method is a popular approach for solving large-scale unconstrained op- timization problems due to its simplest iterative form and low storage ... See full document

20

A New Descent Nonlinear Conjugate Gradient Method for Unconstrained Optimization

A New Descent Nonlinear Conjugate Gradient Method for Unconstrained Optimization

... In this paper, a new nonlinear conjugate gradient method is proposed for large-scale unconstrained optimiza- tion. The sufficient descent property holds without any line searches. We ... See full document

5

Minimization of Unconstrained Nonpolynomial Large-Scale Optimization Problems Using Conjugate Gradient Method Via Exact Line Search

Minimization of Unconstrained Nonpolynomial Large-Scale Optimization Problems Using Conjugate Gradient Method Via Exact Line Search

... the large-scale case, and two of them have proved to be very successful in different ...quasi-Newton methods, but are probably much more widely ... See full document

5

On the Generalization of Seismic Tomography Algorithms

On the Generalization of Seismic Tomography Algorithms

... Let us now test the newly proposed weighted conjugate gradient algorithm (W-CGRAD) using the Cauchy- Steiner weights. Figure 5 shows the reconstructed picture where the weighted version of the CG algorithm ... See full document

10

Fast Linear Algorithms for Machine Learning

Fast Linear Algorithms for Machine Learning

... Approximate Gradient (AppGrad) scheme and its stochastic variant for finding the top k dimensional canonical ...involves large matrix multiplying a thin matrix of width k and small matrix decomposi- tion of ... See full document

110

ON THE EFFICIENCY OF A FAMILY OF QUADRATURE-BASED METHODS FOR SOLVING NONLINEAR EQUATIONS

ON THE EFFICIENCY OF A FAMILY OF QUADRATURE-BASED METHODS FOR SOLVING NONLINEAR EQUATIONS

... generalized family of two-step quadrature based iterative methods for approximating the solution of nonlinear equations developed in Noor et ...iterative methods at the cost of no ... See full document

11

Three New Hybrid Conjugate Gradient Methods for Optimization

Three New Hybrid Conjugate Gradient Methods for Optimization

... of conjugate gradient methods, one hopes the inexact line search such as the Wolfe conditions, the strong Wolfe conditions or the strong *Wolfe conditions,which are showed respectively as follows: ... See full document

6

A New Halley’s Family of Third-Order Methods For Solving Nonlinear Equations

A New Halley’s Family of Third-Order Methods For Solving Nonlinear Equations

... iterative methods with the improved convergence order, see [12], ...iterative methods [29], [30]. Chun and Ham have sug- gested a family of sixth-order methods by weight func- tion ... See full document

8

Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method

Solving Large Scale Nonlinear Equations by a New ODE Numerical Integration Method

... solving nonlinear equa- ...for large scale systems. For Brown’s equations, an existing article reported that when the dimension of the equation N = 40, the subroutines they used could not give ... See full document

8

On a 4 Point Sixteenth Order King Family of Iterative Methods for Solving Nonlinear Equations

On a 4 Point Sixteenth Order King Family of Iterative Methods for Solving Nonlinear Equations

... We observe that the 16th FGK1 and 16th FGK2 family of IFs require two parameters and an analytic function. Therefore, we develop a simplified one-parameter optimal 4-point sixteenth-order King-type family ... See full document

14

Gradient estimates for the Fisher–KPP equation on Riemannian manifolds

Gradient estimates for the Fisher–KPP equation on Riemannian manifolds

... In this paper, we use the method of gradient estimates to study the Fisher–KPP equation. We get the local gradient estimate (Theorem 1.1). Since the solution u of (1.1) often de- scribes the density, it is ... See full document

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