A Comparison of Gaussian Elimination and Cholesky Decomposition Methods in Solving a System of Linear Equations.

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dc.contributor.authorNiringiye, Richard
dc.date.accessioned2024-01-17T08:42:04Z
dc.date.available2024-01-17T08:42:04Z
dc.date.issued2021
dc.description.abstractThere 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 Cholesky 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.citationNiringiye, Richard (2021). A Comparison of Gaussian Elimination and Cholesky Decomposition Methods in Solving a System of Linear Equations. Kabale: Kabale University.
dc.identifier.urihttp://hdl.handle.net/20.500.12493/1702
dc.language.isoen_US
dc.publisherKabale University
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United Statesen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/
dc.subjectComparison
dc.subjectGaussian Elimination
dc.subjectCholesky Decomposition Methods
dc.subjectSolving
dc.subjectSystem
dc.subjectLinear Equations
dc.titleA Comparison of Gaussian Elimination and Cholesky Decomposition Methods in Solving a System of Linear Equations.
dc.typeThesis

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