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All Journal JURNAL ILMU KOMPUTER INDONESIA
I Putu Alit Sudrastawa
Magister Ilmu Komputer Undiksha
Computer Science & IT

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Conceptual and Practical Review of Gaussian Elimination and Gauss-Jordan Reduction I Putu Alit Sudrastawa
JURNAL ILMU KOMPUTER INDONESIA Vol 7, No 2: November 2022
Publisher : Universitas Pendidikan Ganesha

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.23887/jik.v7i2.4062

Abstract

In this paper, the implementation of Gaussian elimination and Gauss-Jordan reduction are discussed in detailed explanations. There were several results from various research journals compared to comprehend the concepts and practices of both methods. The goal was to analyze the differences of Gaussian elimination and Gauss-Jordan reduction regarding the application, algorithm, complexity, efficiency, problem-solving ability, and stability. As the result, we found that the Gauss-Jordan reduction has lower time efficiency and greater residual (the error in the result) in problem-solving ability. The rests are somewhat similar. In practice, those differences are a substantial consideration in choosing the most suitable method for a particular linear equations’ problem, especially when accuracy and computation time have a significant impact on the result
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