In this paper, two new families of eighth-order iterative methods for solving nonlinear equations are presented. These methods are developed by combining a class of optimal two-point methods and a ...

Carpathian Journal of Mathematics, Vol. 31, No. 1 (2015), pp. 11-30 (20 pages) We use the method of recurrent functions to provide a new semilocal convergence analysis for secant-like methods in order ...

Anderson acceleration is an optimisation technique designed to improve the convergence of fixed-point iterations, a common approach utilised in solving nonlinear equations. By blending current and ...

This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by ...

Absolute value equations (AVEs), characterised by the inclusion of absolute value functions in the variables, present inherently non‐smooth and computationally challenging problems that are often ...

If the SINGLE option is not used, PROC MODEL computes values that simultaneously satisfy the model equations for the variables named in the SOLVE statement. PROC MODEL provides three iterative methods ...

Approximate solutions to more complex equations can be found using a process called iteration. Iteration means repeatedly carrying out a process. To solve an equation using iteration, start with an ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...