Add to ORKGThe e ciency of algorithms for solving nonlinear equations is a measure of comparison between di erent iterative methods. In the case of scalar equations two parameters are considered as it is well-known, but frequently in recent literature inaccurate generalizations combining these parameters are used when solving systems of nonlinear equations. Our goal in this paper is to clarify the concept of the e ciency in the multi-dimensional case. To do it we present a detailed de nition of the computational e ciency. The relation between the e ciency parameters in scalar and vectorial cases is analyzed in detail and tested in two numerical examplesPeer Reviewe
We prove that our methods are of fourthorder convergence and present the comparison of these new me...
Nonlinear phenomena occur in various fields of science, business, and engineering. Research in the a...
Abstract: Finding solutions to nonlinear equations is not only a matter for mathematicians but is es...
The e ciency of algorithms for solving nonlinear equations is a measure of comparison between di ere...
AbstractIn this paper two new iterative methods are built up and analyzed. A generalization of the e...
This paper deals with a new numerical iterative method for finding the approximate solutions associa...
summary:Nonlinear iterative methods are investigated and a generalization of a direct method for lin...
The primary focus of research in this thesis is to address the construction of iterative methods for...
Construction of multi-step iterative method for solving system of nonlinear equations is considered,...
• iterative solution of large linear systems is one of the most im-portant numerical tasks in scient...
AbstractIn this work, we develop a new two-parameter family of iterative methods for solving nonline...
In this paper we present the geometrical interpretation of several iterative methods to solve a nonl...
In the past, the use of higher order iterative methods for solving a system of nonlinear equations h...
This paper describes implementations of eight algorithms of Newton and quasi-Newton type for solving...
Abstract: Iterative algorithms for solving a system of nonlinear algebraic equa-tions (NAEs): Fi(x j...
We prove that our methods are of fourthorder convergence and present the comparison of these new me...
Nonlinear phenomena occur in various fields of science, business, and engineering. Research in the a...
Abstract: Finding solutions to nonlinear equations is not only a matter for mathematicians but is es...
The e ciency of algorithms for solving nonlinear equations is a measure of comparison between di ere...
AbstractIn this paper two new iterative methods are built up and analyzed. A generalization of the e...
This paper deals with a new numerical iterative method for finding the approximate solutions associa...
summary:Nonlinear iterative methods are investigated and a generalization of a direct method for lin...
The primary focus of research in this thesis is to address the construction of iterative methods for...
Construction of multi-step iterative method for solving system of nonlinear equations is considered,...
• iterative solution of large linear systems is one of the most im-portant numerical tasks in scient...
AbstractIn this work, we develop a new two-parameter family of iterative methods for solving nonline...
In this paper we present the geometrical interpretation of several iterative methods to solve a nonl...
In the past, the use of higher order iterative methods for solving a system of nonlinear equations h...
This paper describes implementations of eight algorithms of Newton and quasi-Newton type for solving...
Abstract: Iterative algorithms for solving a system of nonlinear algebraic equa-tions (NAEs): Fi(x j...
We prove that our methods are of fourthorder convergence and present the comparison of these new me...
Nonlinear phenomena occur in various fields of science, business, and engineering. Research in the a...
Abstract: Finding solutions to nonlinear equations is not only a matter for mathematicians but is es...