Crank‐Nicolson‐Galerkin finite element scheme for nonlocal coupled parabolic problem using the Newton's method
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4641
Abstract: In this article, a finite element scheme based on the Newton's method is proposed to approximate the solution of a nonlocal coupled system of parabolic problem. The Crank-Nicolson method is used for time discretization. Well-posedness… read more here.
Keywords: element scheme; finite element; newton method; element ... See more keywords
An integrating genetic algorithm and modified Newton method for tracking control and vibration suppression
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DOI: 10.1007/s10462-019-09759-8
Abstract: With the trend toward taller and more flexible building structures, a mass-damper shaking table system has been considered as means for vibration suppression to external excitation and disturbances in recent years. However, there are few… read more here.
Keywords: modified newton; newton method; genetic algorithm; vibration suppression ... See more keywords
A nonmonotone Jacobian smoothing inexact Newton method for NCP
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DOI: 10.1007/s10589-016-9881-6
Abstract: In this paper we propose Jacobian smoothing inexact Newton method for nonlinear complementarity problems (NCP) with derivative-free nonmonotone line search. This nonmonotone line search technique ensures globalization and is a combination of Grippo-Lampariello-Lucidi (GLL) and… read more here.
Keywords: inexact newton; jacobian smoothing; smoothing inexact; method ... See more keywords
Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations
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DOI: 10.1007/s10589-020-00230-x
Abstract: In the case of singular (and possibly even nonisolated) solutions of nonlinear equations, while superlinear convergence of the Newton method cannot be guaranteed, local linear convergence from large domains of starting points still holds under… read more here.
Keywords: convergence; newton method; nonlinear equations; solutions nonlinear ... See more keywords
On the Superlinear Convergence of Newton’s Method on Riemannian Manifolds
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DOI: 10.1007/s10957-017-1107-2
Abstract: In this paper, we study Newton’s method for finding a singularity of a differentiable vector field defined on a Riemannian manifold. Under the assumption of invertibility of the covariant derivative of the vector field at… read more here.
Keywords: convergence newton; superlinear convergence; method; method riemannian ... See more keywords
On the Local and Superlinear Convergence of a Secant Modified Linear-Programming-Newton Method
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DOI: 10.1007/s10957-018-1407-1
Abstract: We present a superlinearly convergent method to solve a constrained system of nonlinear equations. The proposed procedure is an adaptation of the linear-programming-Newton method replacing the first-order information with a secant update. Thus, under mild… read more here.
Keywords: local superlinear; method; linear programming; newton method ... See more keywords
Convergence of Quasi-Newton Method for Fully Complex-Valued Neural Networks
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DOI: 10.1007/s11063-017-9621-7
Abstract: In this paper, based on Wirtinger calculus, we introduce a quasi-Newton method for training complex-valued neural networks with analytic activation functions. Using the duality between Wirtinger calculus and multivariate real calculus, we prove a convergence… read more here.
Keywords: valued neural; method; quasi newton; newton method ... See more keywords
On semilocal convergence analysis for two-step Newton method under generalized Lipschitz conditions in Banach spaces
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DOI: 10.1007/s11075-021-01199-2
Abstract: In the present paper, we consider the semilocal convergence problems of the two-step Newton method for solving nonlinear operator equation in Banach spaces. Under the assumption that the first derivative of the operator satisfies a… read more here.
Keywords: analysis; two step; step newton; newton method ... See more keywords
Non-interior-point smoothing Newton method for CP revisited and its application to support vector machines
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DOI: 10.1007/s12190-019-01305-7
Abstract: Non-interior-point smoothing Newton method (SNM) for optimization have been widely studied for over three decades. SNM is a popular approach for solving small- and medium-scale complementarity problem (CP) and many optimization problems. The main purpose… read more here.
Keywords: interior point; smoothing newton; method; newton method ... See more keywords
Unifying semilocal and local convergence of Newton's method on Banach space with a convergence structure
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DOI: 10.1016/j.apnum.2017.01.008
Abstract: Abstract We present a semilocal and local convergence analysis of Newton's method on a Banach space with a convergence structure to locate zeros of operators. P. Meyer introduced the concept of a Banach space with… read more here.
Keywords: space convergence; banach space; newton method; convergence ... See more keywords
A chain smoothing Newton method for heat and mass transfer control with discrete variability DAE models
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DOI: 10.1016/j.icheatmasstransfer.2020.105056
Abstract: Abstract A multiple shooting based approach to an optimal control problem for highly nonlinear differential-algebraic systems (DAEs, differential-algebraic equations) is considered. The necessary optimality conditions being a consequence of the theory of variational inequalities are… read more here.
Keywords: mass transfer; smoothing newton; newton method; heat ... See more keywords