Research Article

Some Novel Sixth-Order Iteration Schemes for Computing Zeros of Nonlinear Scalar Equations and Their Applications in Engineering

Table 1

Comparison of efficiency indices of different iterative methods.

MethodConvergence orderNo. of required computationsEfficiency index

Noor’s method one231.2599
Noor’s method two331.4422
Traub’s method441.4142
Modified Halley’s method541.4953
Algorithm 1651.4310
Algorithm 2641.5651