Comparison of Gaussian Elimination and Cholesky Decomposition Solving A Linear System Of Equation.
dc.contributor.author | Nzabonimpa, Godfrey | |
dc.date.accessioned | 2024-01-15T11:53:32Z | |
dc.date.available | 2024-01-15T11:53:32Z | |
dc.date.issued | 2022 | |
dc.description.abstract | There are several methods of solving a system of linear equations. Some of which are direct methods and others are iterative methods. In this work, we study direct methods specifically Gaussian elimination and Cholesky decomposition and make a comparison between the two. It is found out that Gaussian elimination is an algorithm in linear algebra for solving a system of linear equations and can also be used to find the rank of a matrix, to calculate the determinant of a matrix, and to calculate the inverse of an invertible square matrix Whereas Cho!sky decomposition is a decomposition of a Hermitian, positive-definite matrix into the product of a lower triangular matrix and its conjugate transpose, which is useful for efficient numerical solutions. | |
dc.identifier.citation | Nzabonimpa, Godfrey (2022). Comparison of Gaussian Elimination and Cholesky Decomposition Solving A Linear System Of Equation. Kabale: Kabale University. | |
dc.identifier.uri | http://hdl.handle.net/20.500.12493/1652 | |
dc.language.iso | en_US | |
dc.publisher | Kabale University | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | en |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | |
dc.subject | Comparison | |
dc.subject | Gaussian Elimination | |
dc.subject | Cholesky Decomposition Solving | |
dc.subject | Linear System | |
dc.subject | Equation | |
dc.title | Comparison of Gaussian Elimination and Cholesky Decomposition Solving A Linear System Of Equation. | |
dc.type | Thesis |