In this thesis, Brent's method and the Brent-Gay version of Brown's method for solving systems of nonlinear equations are studied. A comparison is then made between these two methods, Powell's hybrid method and Brown's original method. The numerical results show that the Brent-Gay version is an improvement of the method and that in the average Brent's method is the best. Finally, listings of the two studied algorithms and of the test functions are given in the appendices
This paper proposes a modified hybrid method for solving non-linear equations that improves computat...
Nonlinear equation systems may be solved by using a modified version of the Levenberg-Marquardt algo...
algorithm for solving non-linear equations based on the secant method By J. G. P. Barnes* This paper...
We describe an implementation of a generalization of Brent's method for solving systems of nonlinear...
summary:We consider system of two nonlinear equations. The aim of this paper is to present three dif...
In this paper, we are concerned with the further study for system of nonlinear equations. Since syst...
The article of record as published may be found at http://dx.doi.org/10.1007/s11075-016-0191-yRecent...
The aim of this paper is to construct a new method for solving systems of nonlinear equations. The n...
We prove that our methods are of fourthorder convergence and present the comparison of these new me...
An alternative strategy for solving systems of nonlinear equations when the classical Newton's metho...
In the past, the use of higher order iterative methods for solving a system of nonlinear equations h...
In this paper, a new algorithm is proposed for the solutions of system of nonlinear equations. This ...
Solving systems of nonlinear equations is a relatively complicated problem for which a number of dif...
This paper describes implementations of eight algorithms of Newton and quasi-Newton type for solving...
The purpose of this paper is to investigate a few of the more popular methods for finding the soluti...
This paper proposes a modified hybrid method for solving non-linear equations that improves computat...
Nonlinear equation systems may be solved by using a modified version of the Levenberg-Marquardt algo...
algorithm for solving non-linear equations based on the secant method By J. G. P. Barnes* This paper...
We describe an implementation of a generalization of Brent's method for solving systems of nonlinear...
summary:We consider system of two nonlinear equations. The aim of this paper is to present three dif...
In this paper, we are concerned with the further study for system of nonlinear equations. Since syst...
The article of record as published may be found at http://dx.doi.org/10.1007/s11075-016-0191-yRecent...
The aim of this paper is to construct a new method for solving systems of nonlinear equations. The n...
We prove that our methods are of fourthorder convergence and present the comparison of these new me...
An alternative strategy for solving systems of nonlinear equations when the classical Newton's metho...
In the past, the use of higher order iterative methods for solving a system of nonlinear equations h...
In this paper, a new algorithm is proposed for the solutions of system of nonlinear equations. This ...
Solving systems of nonlinear equations is a relatively complicated problem for which a number of dif...
This paper describes implementations of eight algorithms of Newton and quasi-Newton type for solving...
The purpose of this paper is to investigate a few of the more popular methods for finding the soluti...
This paper proposes a modified hybrid method for solving non-linear equations that improves computat...
Nonlinear equation systems may be solved by using a modified version of the Levenberg-Marquardt algo...
algorithm for solving non-linear equations based on the secant method By J. G. P. Barnes* This paper...