Results 31 to 40 of about 645,761 (266)

Global dynamics of the real secant method [PDF]

open access: yes, 2019
We investigate the root finding algorithm given by the secant method applied to a real polynomial p as a discrete dynamical system defined on R2. We study the shape and distribution of the basins of attraction associated to the roots of p, and we also ...
Jarque i Ribera, Xavier, Garijo, Antoni
core   +3 more sources

Performance Evaluation of RNN with Hyperbolic Secant in Gate Structure through Application of Parkinson’s Disease Detection

open access: yesApplied Sciences, 2021
This paper studies a novel recurrent neural network (RNN) with hyperbolic secant (sech) in the gate for a specific medical application task of Parkinson’s disease (PD) detection.
Tomohiro Fujita   +4 more
doaj   +1 more source

An Enhanced Matrix-Free Secant Method via Predictor-Corrector Modified Line Search Strategies for Solving Systems of Nonlinear Equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2013
Diagonal updating scheme is among the cheapest Newton-like methods for solving system of nonlinear equations. Nevertheless, the method has some shortcomings.
M. Y. Waziri, Z. A. Majid
doaj   +1 more source

Suction Bucket Pile–Soil–Structure Interactions of Offshore Wind Turbine Jacket Foundations Using Coupled Dynamic Analysis

open access: yesJournal of Marine Science and Engineering, 2020
This paper presents a procedure for the coupled dynamic analysis of offshore wind turbine–jacket foundation-suction bucket piles and compares the American Petroleum Institute (API) standard method and Jeanjean’s methods used to model the piles. Nonlinear
Pasin Plodpradit   +4 more
doaj   +1 more source

Analysing the efficiency of some modifications of the secant method [PDF]

open access: yes, 2012
Some modifications of the secant method for solving nonlinear equations are revisited and the local order of convergence is found in a direct symbolic computation.
Grau, A.   +8 more
core   +1 more source

Extended Convergence of a Two-Step-Secant-Type Method Under a Restricted Convergence Domain [PDF]

open access: yesKragujevac Journal of Mathematics, 2020
We present a local as well as a semi-local convergence analysis of a two-step secant-type method for solving nonlinear equations involving Banach space valued operators. By using weakened Lipschitz and center Lipschitz conditions in combination with a more precise domain containing the iterates, we obtain tighter Lipschitz constants than in earlier ...
IOANNIS K. ARGYROS, GEORGE SANTHOSH
openaire   +1 more source

Accumulative Approach in Multistep Diagonal Gradient-Type Method for Large-Scale Unconstrained Optimization

open access: yesJournal of Applied Mathematics, 2012
This paper focuses on developing diagonal gradient-type methods that employ accumulative approach in multistep diagonal updating to determine a better Hessian approximation in each step.
Mahboubeh Farid   +2 more
doaj   +1 more source

Convergence and dynamics of improved Chebyshev-Secant-type methods for non differentiable operators

open access: yesNumerical Algorithms, 2020
[EN] In this paper, the convergence and dynamics of improved Chebyshev-Secant-type iterative methods are studied for solving nonlinear equations in Banach space settings. Their semilocal convergence is established using recurrence relations under weaker continuity conditions on first-order divided differences.
Abhimanyu Kumar   +3 more
openaire   +3 more sources

On a secant-like method for solving generalized equations [PDF]

open access: yes, 2004
summary:In the paper by Hilout and Piétrus (2006) a semilocal convergence analysis was given for the secant-like method to solve generalized equations using Hölder-type conditions introduced by the first author (for nonlinear equations).
Saïd Hilout   +3 more
core   +1 more source

Expanding the Applicability of Four Iterative Methods for Solving Least Squares Problems

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2017
The aim of this paper is to expand the applicability of four iterative methods for solving nonlinear least squares problems. The advantages obtained under the same computational cost as in earlier studies, include: larger radius of convergence, tighter ...
Argyros Ioannis K.   +2 more
doaj   +1 more source

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