Develop the Secant method to approximate the roots of a nonlinear function. This method uses two initial guesses and eliminates the need for computing derivatives, making it useful when the derivative ...

secant.cpp Implements the Secant Method to approximate the root of a nonlinear equation using two initial guesses and iterative refinement. m-falseposition.cpp Implements the Modified False Position ...

This is a preview. Log in through your library . Abstract A quasi-Newton algorithm is presented which employs an initial factorization of the approximate Jacobian matrix. The method then updates the ...

In this paper, we show that the main results of the local convergence theory for least-change secant update methods of Dennis and Walker (SIAM J. Numer. Anal. 18 (1981), 949-987) can be proved using ...