In this paper, two Chebyshev-like third order methods free from second derivatives are
considered and analyzed for systems of nonlinear equations. The methods can be obtained
by having different approximations to the second derivatives present in the Chebyshev
method. We study the local and third order convergence of the methods using the point of
attraction theory. The computational aspects of the methods are also studied using some
numerical experiments including an application to the Chandrasekhar integral equations
in Radiative Transfer.
کلید واژگان :
Iterative methods Third order convergence Chebyshev's method Systems of nonlinear equations Efficiency index
