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A Tool to Solve Nonlinear Algebraic Equations Systems | IEEE Conference Publication | IEEE Xplore

A Tool to Solve Nonlinear Algebraic Equations Systems


Abstract:

This article explains the development of a tool (application) to solve nonlinear algebraic equations systems (NAES). Systems of nonlinear equations are usually complex an...Show More

Abstract:

This article explains the development of a tool (application) to solve nonlinear algebraic equations systems (NAES). Systems of nonlinear equations are usually complex and can not be solved analytically or in an exact way, therefore numerical methods are used to solve this type of systems. This paper shows the implementation of four numerical algorithms: conjugate gradient method (CGM), Newton-Raphson (N-R), Ostrowski's method (OM) and homotopic continuum methods (HCM). These methods are capable of solving systems of nonlinear algebraic equations of n×n. In addition, the GiNaC library is used, which is completely written in C++ and allows the user to perform algebraic operations and interact within this language. The application has been programmed considering the following attributes: easy to use, multi-platform, that is, it must be able to operate in different operating systems (S.O.), fast in obtaining the solution, able to configure some fields to try to find the solution.
Date of Conference: 11-13 September 2019
Date Added to IEEE Xplore: 28 October 2019
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ISSN Information:

Conference Location: Mexico City, Mexico

References

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