A triparametric family of three-step optimal eighth-order methods for solving nonlinear equations

作者：Kim Young Ik^*

来源：International Journal of Computer Mathematics, 2012, 89(8): 1051-1059.

DOI：10.1080/00207160.2012.673597

• eighth-order convergence
• efficiency index
• triparametric family
• three-parameter family
• asymptotic error constant

A new triparametric family of three-step optimal eighth-order iterative methods free from second derivatives are proposed in this paper, to find a simple root of nonlinear equations. Convergence analysis as well as numerical experiments confirms the eighth-order convergence and asymptotic error constants.

• 出版日期2012