AbstractWe introduce two families of Newton-type methods for multiple roots with cubic convergence. A further Newton-type method for multiple roots with cubic convergence is presented that is related to quadrature. We also provide numerical tests that show that these new methods are competitive to other known methods for multiple roots
Solving nonlinear equations with root finding is very common in science and engineering models. In p...
AbstractLet f:C→C have a multiple zero α with integer multiplicity m≥1 and be analytic in a sufficie...
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"...
AbstractRecently, there has been some progress on Newton-type methods with cubic convergence that do...
We consider a modification of the Newton method for finding a zero of a univariate function. The cas...
AbstractWe consider a modification of the Newton method for finding a zero of a univariate function....
AbstractRecently, a modification of the Newton method for finding a zero of a univariate function wi...
We propose the numerical method defined by xn+1 = xn − λ[f(xn − μh(xn))/]f'(xn) , n ∈ N, and determi...
AbstractIn recent papers (Appl. Math. Comput. 140 (2003) 419–426; Appl. Math. Lett. 13 (2000) 87–93)...
Two families of third-order iterative methods for finding multiple roots of nonlinear equations are ...
In this paper, we present optimal fourth-order methods for finding multiple roots of non-linear equa...
In this paper we give some geometric constructions of variations of Newton’s method, based on ...
For the last years, the variants of the Newton-s method with cubic convergence have become popular i...
In this paper, we present many new one-parameter families of classical Rall’s method (modified Newto...
AbstractIn this paper, we discuss two variants of Newton's method without using any second derivativ...
Solving nonlinear equations with root finding is very common in science and engineering models. In p...
AbstractLet f:C→C have a multiple zero α with integer multiplicity m≥1 and be analytic in a sufficie...
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"...
AbstractRecently, there has been some progress on Newton-type methods with cubic convergence that do...
We consider a modification of the Newton method for finding a zero of a univariate function. The cas...
AbstractWe consider a modification of the Newton method for finding a zero of a univariate function....
AbstractRecently, a modification of the Newton method for finding a zero of a univariate function wi...
We propose the numerical method defined by xn+1 = xn − λ[f(xn − μh(xn))/]f'(xn) , n ∈ N, and determi...
AbstractIn recent papers (Appl. Math. Comput. 140 (2003) 419–426; Appl. Math. Lett. 13 (2000) 87–93)...
Two families of third-order iterative methods for finding multiple roots of nonlinear equations are ...
In this paper, we present optimal fourth-order methods for finding multiple roots of non-linear equa...
In this paper we give some geometric constructions of variations of Newton’s method, based on ...
For the last years, the variants of the Newton-s method with cubic convergence have become popular i...
In this paper, we present many new one-parameter families of classical Rall’s method (modified Newto...
AbstractIn this paper, we discuss two variants of Newton's method without using any second derivativ...
Solving nonlinear equations with root finding is very common in science and engineering models. In p...
AbstractLet f:C→C have a multiple zero α with integer multiplicity m≥1 and be analytic in a sufficie...
Capítulo del libro "Contemporary study of iterative methods: convergence, dynamics and applications"...
DOI
Add to ORKG