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Newton method

Quasi-Newton Method: A New Direction

Quasi-Newton Method: A New Direction

... Section 2 used the probabilistic perspective to gain novel insight into classical methods. It showed that quasi-Newton methods can be interpreted as Gaussian regressors using algebraic structure to weaken prior ...

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An Improved Method of Newton Method, Genetic Algorithm and Cooperative Coevolutionary Algorithm for Optimization of Metabolic Pathway Production

An Improved Method of Newton Method, Genetic Algorithm and Cooperative Coevolutionary Algorithm for Optimization of Metabolic Pathway Production

... improved method that combined Newton method, GA and CCA was ...The method was proposed to improve the metabolic pathway production and simultaneously reduce the total chemical concentrations ...

5

A renormalized Newton method for liquid crystal director modeling

A renormalized Newton method for liquid crystal director modeling

... Numerical aspects of the Truncated Newton step H (n)p = −G(n) (4.19) for the model Har- monic Mapping Problem (5.1), discretized as in (5.3). Here n is the crude initial guess for the upward “escape” solution ...

8

A new approach for solving nonlinear system of equations using Newton method and HAM

A new approach for solving nonlinear system of equations using Newton method and HAM

... The organization of the paper is as follows. In Section 2 a concise descrip- tion of the Newton Method, the Homotopy Method are presented. In Section 3 the fundamental of HAM and proposed approach is ...

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A Regularized Newton Method with Correction for Unconstrained Convex Optimization

A Regularized Newton Method with Correction for Unconstrained Convex Optimization

... regularized Newton method (M-RNM) with correction for minimizing a convex function whose Hessian matrices may be ...the method posses globally ...

9

A Modified Regularized Newton Method for Unconstrained Convex Optimization

A Modified Regularized Newton Method for Unconstrained Convex Optimization

... regularized Newton method (M-RNM) for minimizing a convex function whose Hessian matrices may be ...the method posses local quadratic convergence under a local error bound ...

5

A renormalized Newton method for liquid crystal director modeling

A renormalized Newton method for liquid crystal director modeling

... (“Renormalized Newton Method”), which is a variation of Newton’s method that takes greater advantage of the special structure of such problems and which we prove retains the local quadratic ...

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An efficient improvement of the Newton method for solving nonconvex optimization problems

An efficient improvement of the Newton method for solving nonconvex optimization problems

... Abstract Newton method is one of the most famous numerical methods among the line search methods to minimize ...the Newton method to solve uncon- strained optimization problems is ...proposed ...

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Solution of optimal control problems by a pointwise projected newton method

Solution of optimal control problems by a pointwise projected newton method

... This method utilizes again the simple projection but has the drawback that it does not always produce a descent in the objective ...projected Newton method which alleviated this ...

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Solving Nonlinear Least Squares Problem Using Gauss-Newton Method

Solving Nonlinear Least Squares Problem Using Gauss-Newton Method

... fit in the least-squares sense minimizes the SSE which is the difference between the observed value and the fitted value provided by the model used [4]. The SSE is used instead of the offset absolute values because the ...

5

An extension of the quasi-Newton method for minimizing locally Lipschitz functions

An extension of the quasi-Newton method for minimizing locally Lipschitz functions

... Algorithm 1 is a generalization of the quasi-Newton method for minimizing the locally Lipschitz continuous function. In Section 5, we describe a line search algorithm how to find a step length along the ...

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Trust Region Newton Method for Large-Scale Logistic Regression

Trust Region Newton Method for Large-Scale Logistic Regression

... Therefore, for large logistic regression, iterative methods are more suitable than direct methods, which require the whole Hessian matrix. Among iterative methods, currently conjugate gradients are the most used ones in ...

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Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 2 
Root finding using Newton Method and Creation of Newton Fractals

Enhancing Computational Thinking with Spreadsheet and Fractal Geometry: Part 2 Root finding using Newton Method and Creation of Newton Fractals

... One can ‘grade’ the color according to number of iteration taken to converge. So a dark red point indicates fast convergence to root corresponding to Red and light red indicate large number of iteration to converge. This ...

7

An Interval Matrix Based Generalized Newton Method for Linear Complementarity Problems

An Interval Matrix Based Generalized Newton Method for Linear Complementarity Problems

... generalized Newton method for solving the linear complementarity problem with the regular interval matrix based on the nonlinear penalized ...this method is ...generalized Newton method ...

7

Prediction of Flow Duration Curves for Ungauged Basins with Quasi Newton Method

Prediction of Flow Duration Curves for Ungauged Basins with Quasi Newton Method

... Prediction of flow-duration-curves (FDC) is an important task for water resources planning, management and hydraulic energy production. Classification of the basins as carstic and non-carstic may be used to estimate ...

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A Modified Finite Newton Method for Fast Solution of Large Scale Linear SVMs

A Modified Finite Newton Method for Fast Solution of Large Scale Linear SVMs

... ton method, was given by Mangasarian ...this method into a powerfully fast technique for solving large scale data mining problems (with a large number of examples and/or a large number of ...finite ...

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Algorithms for Portfolio Management based on the Newton Method

Algorithms for Portfolio Management based on the Newton Method

... We experimentally study on-line investment algorithms first proposed by Agarwal and Hazan and extended by Hazan et al. which achieve almost the same wealth as the best constant-rebalanced portfolio determined in ...

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A Singular Values Based Newton Method for Linear Complementarity Problems

A Singular Values Based Newton Method for Linear Complementarity Problems

... equation. Newton method is used to solve penalized equation, and then the solution of the linear complementarity problems is ...proposed method is globally and superlinearly convergent when the ...

6

A smoothing inexact Newton method for variational inequalities with nonlinear constraints

A smoothing inexact Newton method for variational inequalities with nonlinear constraints

... smoothing Newton method, we propose a new inexact Newton method for solving VI(, F) with nonlinear constraints, which ex- tends the scope of ...

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A stochastic quasi Newton method for molecular simulations

A stochastic quasi Newton method for molecular simulations

... (S-QN) method applies an automated scaling for different length/time scales in the system, by including curvature or correlation information in the space- dependent mobility, while maintaining thermodynamic ...

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