Results 21 to 30 of about 12,439,104 (289)

Performance investigation of quasi-Newton-based parallel nonlinear FEM for large-deformation elastic-plastic analysis over 100 thousand degrees of freedom

open access: yesMechanical Engineering Journal, 2021
Quasi-Newton-based nonlinear finite element methods were extensively studied in the 1970s and 1980s. However, they have almost disappeared due to their poorer convergence performance than the Newton-Raphson method.
Yasunori YUSA   +2 more
doaj   +1 more source

Decentralized Quasi-Newton Methods [PDF]

open access: yesIEEE Transactions on Signal Processing, 2017
We introduce the decentralized Broyden-Fletcher-Goldfarb-Shanno (D-BFGS) method as a variation of the BFGS quasi-Newton method for solving decentralized optimization problems. The D-BFGS method is of interest in problems that are not well conditioned, making first order decentralized methods ineffective, and in which second order information is not ...
Mark Eisen   +2 more
openaire   +3 more sources

Partial Pearson-two (PP2) of quasi newton method for unconstrained optimization

open access: yesTikrit Journal of Pure Science, 2023
In this paper, we developing new quasi-Newton method for solving unconstrained optimization problems .The nonlinear Quasi-newton methods is widely used in unconstrained optimization[1]. However,.
Basheer M. Salih   +2 more
doaj   +1 more source

Faster Stochastic Quasi-Newton Methods [PDF]

open access: yesIEEE Transactions on Neural Networks and Learning Systems, 2022
Stochastic optimization methods have become a class of popular optimization tools in machine learning. Especially, stochastic gradient descent (SGD) has been widely used for machine learning problems such as training neural networks due to low per-iteration computational complexity.
Qingsong Zhang   +3 more
openaire   +3 more sources

THE NEW RANK ONE CLASS FOR UNCONSTRAINED PROBLEMS SOLVING

open access: yesScience Journal of University of Zakho, 2023
One of the most well-known methods for unconstrained problems is the quasi-Newton approach, iterative solutions. The great precision and quick convergence of the quasi-Newton methods are well recognized. In this work, the new algorithm for the symmetric
Ahmed Mustafa
doaj   +1 more source

Matrix Transformations and Quasi-Newton Methods [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
We first recall some properties of infinite tridiagonal matrices considered as matrix transformations in sequence spaces of the formssξ,sξ∘,sξ(c), orlp(ξ). Then, we give some results on the finite section method for approximating a solution of an infinite linear system.
Boubakeur Benahmed   +2 more
openaire   +4 more sources

Correlation and realization of quasi-Newton methods of absolute optimization [PDF]

open access: yesКомпьютерные исследования и моделирование, 2016
Newton and quasi-Newton methods of absolute optimization based on Cholesky factorization with adaptive step and finite difference approximation of the first and the second derivatives.
Anastasiya Borisovna Sviridenko   +1 more
doaj   +1 more source

On the Convergence Rate of Quasi-Newton Methods on Strongly Convex Functions with Lipschitz Gradient

open access: yesMathematics, 2023
The main results of the study of the convergence rate of quasi-Newton minimization methods were obtained under the assumption that the method operates in the region of the extremum of the function, where there is a stable quadratic representation of the ...
Vladimir Krutikov   +3 more
doaj   +1 more source

Accelerating Symmetric Rank-1 Quasi-Newton Method with Nesterov’s Gradient for Training Neural Networks

open access: yesAlgorithms, 2021
Gradient-based methods are popularly used in training neural networks and can be broadly categorized into first and second order methods. Second order methods have shown to have better convergence compared to first order methods, especially in solving ...
S. Indrapriyadarsini   +4 more
doaj   +1 more source

The Symmetric Rank-One Quasi-Newton Method is a Space Dilation Subgradient Algorithm [PDF]

open access: yes, 1986
The Symmetric Rank-One Quasi-Newton Method is a Space Dilation Subgradient ...
Todd, M.
core   +4 more sources

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