Results 51 to 60 of about 4,814 (186)

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

Annals 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., Sharma Janak Raj, Kumar Deepak   +2 more
doaj   +1 more source

Generation of a Train of Ultrashort Pulses Near-Infrared Regime in a Tapered Photonic Crystal Fiber Using Raised-Cosine Pulses

IEEE Photonics Journal, 2012
We consider an optical pulse propagating in a tapered photonic crystal fiber (PCF) wherein dispersion as well as nonlinearity varies along the propagation direction.
Samuel Olupitan, K. Senthilnathan, P. Ramesh Babu, Sumeet S. Aphale, K. Nakkeeran   +4 more
doaj   +1 more source

Iterative Methods with Memory for Solving Systems of Nonlinear Equations Using a Second Order Approximation

Mathematics, 2019
Iterative methods for solving nonlinear equations are said to have memory when the calculation of the next iterate requires the use of more than one previous iteration.
Alicia Cordero, Javier G. Maimó, Juan R. Torregrosa, María P. Vassileva   +3 more
doaj   +1 more source

Secant-like methods

, 2017
Capítulo del libro "Iterative Methods and Their Dynamics with Applications"
Argyros, Ioannis K, Magreñán, Á. Alberto   +1 more
openaire   +1 more source

Power secant method applied to natural frequency extraction of Timoshenko beam structures

Latin American Journal of Solids and Structures
This work deals with an improved plane frame formulation whose exact dynamic stiffness matrix (DSM) presents, uniquely, null determinant for the natural frequencies.
C.A.N. Dias
doaj   +1 more source

Newton’s Method and Secant Method for Set-Valued Mappings [PDF]

, 2012
For finding zeros or fixed points of set-valued maps, the fact that the space of convex, compact, nonempty sets of ℝ n is not a vector space presents a major disadvantage. Therefore, fixed point iterations or variants of Newton’s method, in which the derivative is applied only to a smooth single-valued part of the set-valued map, are often applied for ...
Robert Baier, Mirko Hessel-von Molo
openaire   +1 more source

A unified convergence analysis for secant-type methods

, 2014
We present a unified local and semilocal convergence analysis for secant-type methods in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting.
Argyros, Ioannis Konstantinos, Magreñán, Ángel Alberto [0000-0002-6991-5706]   +1 more
core   +1 more source

Secant Penalized BFGS: A Noise Robust Quasi-Newton Method Via Penalizing The Secant Condition

, 2021
In this paper, we introduce a new variant of the BFGS method designed to perform well when gradient measurements are corrupted by noise. We show that by treating the secant condition with a penalty method approach motivated by regularized least squares ...
Irwin, Brian, Haber, Eldad
core   +1 more source

On the secant method and nondiscrete mathematical induction

Journal of Numerical Analysis and Approximation Theory, 1989
Not available.
Ioannis K. Argyros
doaj   +2 more sources

Higher order curvature information and its application in a modified diagonal Secant method [PDF]

, 2018
A secant equation (quasi-Newton) has one of the most important rule to find an optimal solution in nonlinear optimization. Curvature information must satisfy the usual secant equation to ensure positive definiteness of the Hessian approximation.
Leong, Wah June, Ardestani, S. Mohsen Hashemi, Farid, Mahboubeh, Enshaei, Sharareh   +3 more
core   +2 more sources