In this paper we present and analyze a set of predictor-corrector iterative methods with increasing order of convergence, for solving systems of nonlinear equations. Our aim is to achieve high order of convergence with few Jacobian and/or functional evaluations. On the other hand, by applying the pseudocomposition technique on each proposed scheme we get to increase their order of convergence, obtaining new high-order and efficient methods. We use the classical efficiency index in order to compare the obtained schemes and make some numerical test.This research was supported by Ministerio de Ciencia y Tecnología MTM2011-28636-C02-02 and by FONDOCYT 2011-1-B1-33, República Dominicana.Cordero Barbero, A.; Torregrosa Sánchez, JR.; Penkova Vassi...
We present two classes of iterative methods whose orders of convergence are four and five, respectiv...
A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-ord...
[EN] In this work we present a new family of iterative methods for solving nonlinear systems that a...
[EN] A set of multistep iterative methods with increasing order of convergence is presented, for sol...
[EN] A set of multistep iterative methods with increasing order of convergence is presented, for sol...
[EN] A set of multistep iterative methods with increasing order of convergence is presented, for sol...
In this work we introduce a technique for solving nonlinear systems that improves the order of conve...
AbstractIn this work we introduce a technique for solving nonlinear systems that improves the order ...
A new technique for designing iterative methods for solving nonlinear systems is presented. This pro...
A new set of predictor-corrector iterative methods with increasing order of convergence is proposed ...
In this paper we present and analyze a set of predictor-corrector iterative methods with increasing ...
[EN] Recently, Li et al. (2014) have published a new family of iterative methods, without memory, w...
AbstractIn this work we introduce a technique for solving nonlinear systems that improves the order ...
In this paper, we want to construct a new high-order and efficient iterative technique for solving a...
[EN] A new parametric class of third-order iterative methods for solving nonlinear equations and sy...
We present two classes of iterative methods whose orders of convergence are four and five, respectiv...
A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-ord...
[EN] In this work we present a new family of iterative methods for solving nonlinear systems that a...
[EN] A set of multistep iterative methods with increasing order of convergence is presented, for sol...
[EN] A set of multistep iterative methods with increasing order of convergence is presented, for sol...
[EN] A set of multistep iterative methods with increasing order of convergence is presented, for sol...
In this work we introduce a technique for solving nonlinear systems that improves the order of conve...
AbstractIn this work we introduce a technique for solving nonlinear systems that improves the order ...
A new technique for designing iterative methods for solving nonlinear systems is presented. This pro...
A new set of predictor-corrector iterative methods with increasing order of convergence is proposed ...
In this paper we present and analyze a set of predictor-corrector iterative methods with increasing ...
[EN] Recently, Li et al. (2014) have published a new family of iterative methods, without memory, w...
AbstractIn this work we introduce a technique for solving nonlinear systems that improves the order ...
In this paper, we want to construct a new high-order and efficient iterative technique for solving a...
[EN] A new parametric class of third-order iterative methods for solving nonlinear equations and sy...
We present two classes of iterative methods whose orders of convergence are four and five, respectiv...
A class of optimal iterative methods for solving nonlinear equations is extended up to sixteenth-ord...
[EN] In this work we present a new family of iterative methods for solving nonlinear systems that a...