Performance Comparison of Gauss Elimination and Gauss-Jordan Elimination
Yadanar Mon, Lai Lai Win Kyi
Abstract
Yadanar Mon, Lai Lai Win Kyi
Abstract
This paper examines the comparisons of execution time between Gauss Elimination and Gauss Jordan Elimination Methods for solving system of linear equations. It tends to calculate unknown variables in linear system. It was noted for the solved problems that both methods gave the same answers. Many different types of linear equations have been solved with the help of these two methods using computer program developed in Java Programming language. Numbers of operations involved in the solutions of linear simultaneous equations have also been calculated. This paper also explicitly reveals that these methods could be applied to different systems of linear equations arising in fields of study like Physics, Business, Economics, Chemistry, etc.
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This paper examines the comparisons of execution time between Gauss Elimination and Gauss Jordan Elimination Methods for solving system of linear equations. It tends to calculate unknown variables in linear system. It was noted for the solved problems that both methods gave the same answers. Many different types of linear equations have been solved with the help of these two methods using computer program developed in Java Programming language. Numbers of operations involved in the solutions of linear simultaneous equations have also been calculated. This paper also explicitly reveals that these methods could be applied to different systems of linear equations arising in fields of study like Physics, Business, Economics, Chemistry, etc.
Key concepts: Gauss, Gaussian elimination, System of linear equations, Linear equation, Linear programming, Linear system, Simultaneous equations, Java