Results 261 to 270 of about 10,995,154 (282)

A secant method for multiple roots

BIT, 1977
A superlinear procedure for finding a multiple root is presented. In it the secant method is applied to the given function divided by a divided difference whose increment shrinks toward zero as the root is approached. Two function evaluations per step are required, but no derivatives need be calculated.
openaire   +1 more source

An interval version of the secant method

BIT, 1984
The paper is mainly concerned with a modification of the secant method which is based on interval arithmetic ideas. Interval arithmetic is used to force global convergence of any local zero finder without sacrifying convergence speed. Unfortunately no numerical examples are given.
openaire   +1 more source

Secant modification of Newton's method

Communications of the ACM, 1958
openaire   +1 more source

A note on the convergence of the secant method for simple and multiple roots

Applied Mathematics Letters, 2003
Pedro Diez
exaly  

Convergence theory for the structured BFGS secant method with an application to nonlinear least squares

Journal of Optimization Theory and Applications, 1989
Hector Jairo Martinez, J E Dennis, R A Tapia   +2 more
exaly  

Improving the applicability of the secant method to solve nonlinear systems of equations

Applied Mathematics and Computation, 2014
Sérgio Amat, M A Hernández-Verón
exaly  

Convergence ball of a modified secant method for finding zero of derivatives

Applied Mathematics and Computation, 2006
Qingbiao Wu, Hongmin Ren
exaly  

The convergence ball of the Secant method under Hölder continuous divided differences

Journal of Computational and Applied Mathematics, 2006
Ren Hongmin
exaly  

The Secant method for simultaneous nonlinear equations

Communications of the ACM, 1959
openaire   +2 more sources

A new modified secant-like method for solving nonlinear equations

Computers and Mathematics With Applications, 2010
Chuanqing Gu, Jisheng Kou
exaly