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Comparison of Numerical Efficiencies of Gaussian Elimination and Gauss-Jordan Elimination methods for the Solutions of linear Simultaneous Equations

Twenty linear simultaneous equations have been solved with the help o Gaussian elimination and Gauss-Jordan elimination methods using computer program developed in C++ programming language. Numbers of operations involved in the solutions of in the solution of linear simultaneous equations have also been calculated. The efficiencies of Gaussian and Gauss-Jordan elimination methods have been found to be 14.072614 and 9.292816 respectively which indicates that Gaussian elimination method is approximately 1.514354 times faster than Gauss-Jordan elimination method.



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Keywords: Gaussian elimination method, Gauss-Jordan elimination method, numerical efficiency, linear simultaneous equation, back substitution.

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EISSN: 2249 –1929


EOI/DOI: NIL


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