The project report details the development and testing of a Newton-Raphson-based solver for systems of nonlinear equations. This solver incorporates the Secant method to approximate the Jacobian ...

Abstract: There are many situations when systems of non-linear differential algebraic equations need to be solved with extraordinary precision. A steady-state analysis (determining the steady-state ...

This is a preview. Log in through your library . Abstract The purpose of this paper is to present efficient algorithms for computing solutions to systems of nonlinear equations with a block diagonal ...

ABSTRACT: This paper presents a new family of twelfth-order methods for solving simple roots of nonlinear equations which greatly improves the order of convergence and the computational efficiency of ...

Excel can solve equations through several of its mathematical functions, but the single Excel tool that works on the largest variety of equations is the program's Solver Add-in. This tool reads 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 ...