Several new methods for solving equations

Abstract

Several new methods for solving one nonlinear equation are developed. Most of the methods are of order three and they require the knowledge of f f′ and f″. The methods will be compared to others in the literature. An extensive bibliography is given.

Keywords:

• Nonlinear equations
• order of convergence
• iteration
• computational efficiency
• efficiency index

C.R. Categories:

• 5.1
• 5.15.