P.; Teukolsky, S. A.; and Vetterling, W. T. "Secant Method, False Position Method, and Ridders' Method." §9.2 in Numerical Recipes in FORTRAN: The Art of Scientific Computing, 2nd ed. Cambridge, England: Cambri
Ferrara, M., Sharifi, S., Salimi, M.: Computing multiple zeros by using a parameter in Newton-Secant method, SeMA J. (2016). DOI: 10.1007/s40324-016-0074-0.Ferrara, M.; Sharifi, S.; Salimi, M. Computing multiple zeros by using a parameter in Newton-Secant method. SeMA J. ...
All of the code written in C++ with five methods included. matrix linear-algebra gaussian numerical-methods gauss-elimination jacobian newton-raphson secant gauss-jordan jacobi-iteration gauss-jordan-elimination secant-method newton-raphson-algorithm Updated Nov 21, 2022 C++ ...
* TheRegula Falsimethod assumes that the function is continuous, * but not necessarily smooth. * * Implementation based on the following article: M. Dowell and P. Jarratt, * A modified regula falsi method for computing the root of an * equation, BIT Numerical ...
Secant method Convergence analysis Recurrence relations A priori error bounds Integral equations 1. Introduction In this paper, we study the solution of nonlinear integral equations of the Hammerstein type [4], [6], [7]:(1)x(s)=h(s)+∫01R(s,t)p(t,x(t))dt,where x,h∈C[0,1],R(...
[29] proposed a method which, as in the case of the Modified Secant Method, applies to composites whose nonlinear phase behavior depends on the equivalent strain only. It consists of computing the local equivalent strain first, and then evaluating its first-order average; the secant stiffness ...
Secant methods for sparse systems of nonlinear equations with a special structure are given, as they arise, e. g., in the solution of boundary value problems for systems of ordinary differential equations by multiple shooting. The presented methods are compared with an adapted Broyden method....
For the special problem of computing the inverse or the pseudoinverse of a given matrix, we propose a specialized secant method for which we establish stability and q-superlinear convergence, and for which we also present some numerical results. In addition, for solving quadratic matrix equations,...
Secant methodWe provide a semilocal convergence analysis for a certain class of secant-like methods considered also in Argyros (J Math Anal Appl 298:374–397, 2004 , 2007 ), Potra (Libertas Mathematica 5:71–84, 1985 ), in order to approximate a locally unique solution of an equation in...
Filter methodLine-search49M3765K0590C3090C5190C55This paper presents a class of affine-scaling interior-point secant methods in association with filter line search technique for minimization with equality and box constraints. The global convergence properties are analyzed. Under some reasonable ...