This program implements the Gaussian Elimination algorithm, a fundamental method in linear algebra for solving systems of linear equations, determining matrix inverses, and calculating determinants.

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1 Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, RJ, Brazil 2 Petróleo Brasileiro S.A., Centro de Pesquisas Leopoldo Miguez de Mello, Rio de Janeiro, Brazil Recent advancements in quantum ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

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OPD Profect application for students - Numerical methods app, which includes solving nonliear equations, integrals, interpolation, differential equations, systems of linear equations ...

This paper intends to show the impact of compiler optimization flags and the variable’s precision on direct methods to solve linear systems. The chosen six methods are simple direct methods, so our ...

Abstract: This paper aims to calculate the Gaussian elimination method without division operation, which is useful for cases where the division operation is considerably expensive, not optimised or ...