A note on the quadratic convergence of the inexact Newton methods
Abstract We show that a new sufficient condition for the convergence with q-order two of the inexact Newton iterates may be…
2000
On the Chebyshev method for approximating the solutions of polynomial operator equations of degree 2
Abstract The Chebyshev method for approximating the solutions of polynomial operator equations of degree 2 is presented. The convergence of the Chebyshev…
Optimal efficiency index of a class of Hermite iterative methods with two steps
Abstract The inverse interpolatory polynomials of Hermite type with 2 nodes, allhaving the same order of multiplicity \(q\in N\), provide…