Results 1 to 10 of about 4,814 (186)

The Secant method and divided differences Hölder continuous

Applied Mathematics and Computation, 2001
We apply the Secant method to solve non-linear operator equations in Banach spaces. A semilocal convergence result is obtained, where the first-order divided difference of the non-linear operator is Hölder continuous. For that, we use a technique based on a new system of recurrence relations to obtain domains of existence and uniqueness of the solution
M A Hernández, M J Rubio
exaly   +6 more sources

On the Secant method for solving nonsmooth equations

Journal of Mathematical Analysis and Applications, 2006
The author considers the problem on approximating a locally unique solution of the equation \(F(x)= 0\), where \(F\) is a continuous operator defined on a closed subset \(D\) of a Banach space \(X\) with values in a Banach space \(Y\). A local as well as a semilocal convergence analysis for the secant method is provided using a flexible point-based ...
Ioannis K Argyros
exaly   +4 more sources

On the Modification of Newton-Secant Method in Solving Nonlinear Equations for Multiple Zeros of Trigonometric Function [PDF]

Cauchy: Jurnal Matematika Murni dan Aplikasi, 2021
This study discusses the analysis of the modification of Newton-Secant method and solving nonlinear equations having a multiplicity of  by using a modified Newton-Secant method.
Juhari Juhari
doaj   +2 more sources

On a modified secant method

Journal of Numerical Analysis and Approximation Theory, 1979
Not available.
F. A. Potra
doaj   +4 more sources

Secant Optimization Algorithm for efficient global optimization [PDF]

Scientific Reports
This paper presents the Secant Optimization Algorithm (SOA), a novel mathematics-inspired metaheuristic derived from the Secant Method. SOA enhances search efficiency by repeating vector updates using local information and derivative approximations in ...
Mohammed Q. Ibrahim, Mohammed Qaraad, Nazar K. Hussein, M. A. Farag, David Guinovart   +4 more
doaj   +2 more sources

Convergence Conditions for the Secant Method

Cubo, 2010
We provide new sufficient convergence conditions for the convergence of the Secant method to a locally unique solution of a nonlinear equation in a Banach space.
Ioannis K Argyros, Sa<img width=10 height=18 src="http:/fbpe/img/cubo/v12n1/img40.jpg">d Hilout   +1 more
doaj   +1 more source

Extending the solvability of equations using secant-type methods in Banach space

Journal of Numerical Analysis and Approximation Theory, 2021
We extend the solvability of equations dened on a Banach space using numerically ecient secant-type methods. The convergence domain of these methods is enlarged using our new idea of restricted convergence region.
Ioannis K. Argyros, Santhosh George
doaj   +7 more sources

Application of a Generalized Secant Method to Nonlinear Equations with Complex Roots

Axioms, 2021
The secant method is a very effective numerical procedure used for solving nonlinear equations of the form f(x)=0. In a recent work (A. Sidi, Generalization of the secant method for nonlinear equations. Appl. Math. E-Notes, 8:115–123, 2008), we presented
Avram Sidi
doaj   +1 more source

A superlinear iteration method for calculation of finite length journal bearing's static equilibrium position [PDF]

Royal Society Open Science, 2017
Solving the static equilibrium position is one of the most important parts of dynamic coefficients calculation and further coupled calculation of rotor system.
Wenjie Zhou, Xuesong Wei, Leqin Wang, Guangkuan Wu   +3 more
doaj   +1 more source

A complete (48, 4)-arc in the Projective Plane Over the Field of Order Seventeen

مجلة بغداد للعلوم, 2021
The article describes a certain computation method of -arcs to construct the number of distinct -arcs in  for . In this method, a new approach employed to compute the number of -arcs and the number of distinct arcs respectively. This approach is based on
zainab Shehab Hamed, J.W. Hirschfeld
doaj   +1 more source