We propose an approach to enhance the performance of a diagonal variant of secant method for solving large-scale systems of nonlinear equations. In this approach, we consider diagonal secant methodâ€¦ (More)

One of the widely used methods for solving a nonlinear system of equations is the quasi-Newton method. The basic idea underlining this type of method is to approximate the solution of Newton'sâ€¦ (More)

We propose a modification to Newtonâ€™s method for solving nonlinear equations, namely a Jacobian Computation-free Newtonâ€™s Method . Unlike the classical Newtonâ€™s method, the proposed modificationâ€¦ (More)

We present a new diagonal quasi-Newton update with an improved diagonal Jacobian approximation for solving large-scale systems of nonlinear equations. In this approach, the Jacobian approximation isâ€¦ (More)

In this study, we extend the technique of Waziri et al. (2010a) via incorporating the two-step scheme in the framework of the diagonal Jacobian updating method to solve large-scale systems ofâ€¦ (More)

There is a great deal of interest on reducing overall computational budget of classical Newtonâ€™s method for solving nonlinear systems of equations. The appealing approach is based on chord Newtonâ€™sâ€¦ (More)

This paper presents an improved diagonal Secant-like method using two-step approach for solving large scale systems of nonlinear equations. In this scheme, instead of using direct updating matrix inâ€¦ (More)

Abstract The basic requirement of Newtons method in solving systems of nonlinear equations is, the Jacobian must be non-singular. Violating this condition, i.e. the Jacobian to be singular theâ€¦ (More)

2011 Fourth International Conference on Modelingâ€¦

2011

We propose some improvements on a diagonal Newton's method for solving large-scale systems of nonlinear equations. In this approach, we use data from two preceding steps to improve the currentâ€¦ (More)