We discussed some derivations of Simpson rule formulas that are not commonly discussed in numerical analysis texts. The derivation involved a Lagrange interpolating polynomial, and a quadratic polynomial analytically and ...

We modify a new iterative method introduced by Abu-Alshaikh [Enformatika. 5 (2005) h. 190--193] to speed up the convergence for finding multiple roots of a nonlinear equation in one variable. Comparison between the discussed ...

We discuss a method to obtain an inverse of a nonsingular matrix, called Augmenta- tion and Reduction Method. The total computational cost of this method to obtain an inverse of a matrix is the same as those of Gauss-Jordan ...

In this paper we propose a new modification of Newton's method based on midpoint rule for solving nonlinear equations. Analysis of convergence shows that the new method is cubically convergent for a simple root and linearly ...

Penggunaan media khususnya media komputer sangat membantu guru dalam menerangkan obyek suatu pelajaran. Akan teapi banyak sekali guru yang belum mengusai ataupun menyadari peranan komputer sebagai alat bantu dalam media ...

In this paper we discuss a new modification of Newton’s method based on Root Mean Square rule for solving nonlinear equations. We show that the convergence of the proposed method is of order three. We verify the theoretical ...

We discuss and do some analysis on numerical integration based on interpolation, midpoint, trapezoidal rule and Simpson rule. We end up with some new formulas, which are not mentioned in numerical analysis textbooks. The ...