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It is well known that when the Jacobian of nonlinear systems is nonsingular in the neighborhood of the solution, the convergence of Newton method is guaranteed and the rate is quadratic. Violating this condition, i. e. the Jacobian to be singular the convergence may be unsatisfactory and may even be lost. In this paper we present a modification of… (More)

- M. Y. Waziri, H. Aisha, I. Saidu
- 2012

There is a great deal of interest on reducing overall computational budget of classical Newton's method for solving nonlinear systems of equations. The appealing approach is based on chord Newton's but the method mostly requires high number of iteration as the dimension of the systems increases. In this paper, we introduce a new procedure that will reduce… (More)

- M. Y. Waziri, H. Aisha
- 2012

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 in every iteration to construct the interpolation curves, we chose to use an implicit updating approach to obtain an enhanced approximation of the Jacobian matrix… (More)

- M. Y. Waziri, H. Aisha, A. I. Gambo
- 2011

In this paper, we compared and analyzed some newly diagonal variants of Newton methods for solving large-scale systems of nonlinear equations. Due to the fact that, the diagonal updating scheme is computationally less expensive than classical Newton methods and some of its variants. The two diagonal updating were introduced by Waziri et.al. [6] and Waziri… (More)

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