Please use this identifier to cite or link to this item: http://repository.futminna.edu.ng:8080/jspui/handle/123456789/25501
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dc.contributor.authorAudu, Khadeejah James-
dc.contributor.authorEssien, James Nkereuwem-
dc.contributor.authorZHIRI, Abraham Baba-
dc.contributor.authorTaiwo, Aliyu Rasheed-
dc.date.accessioned2024-01-15T09:48:10Z-
dc.date.available2024-01-15T09:48:10Z-
dc.date.issued2023-10-30-
dc.identifier.issnISSN online: 2616-1370-
dc.identifier.issnISSN print: 2645 - 2944-
dc.identifier.urihttps://doi.org/10.33003/fjs-2023-0705-1955-
dc.identifier.urihttp://repository.futminna.edu.ng:8080/jspui/handle/123456789/25501-
dc.description.abstractSolving linear systems of equations stands as one of the fundamental challenges in linear algebra, given their prevalence across various fields. The demand for an efficient and rapid method capable of addressing diverse linear systems remains evident. In scenarios involving large and sparse systems, iterative techniques come into play to deliver solutions. This research paper contributes by introducing a refinement to the existing Jacobi method, referred to as the "Third Refinement of Jacobi Method." This novel iterative approach exhibits its validity when applied to coefficient matrices exhibiting characteristics such as symmetry, positive definiteness, strict diagonal dominance, and 𝑀 -matrix properties. Importantly, the proposed method significantly reduces the spectral radius, thereby curtailing the number of iterations and substantially enhancing the rate of convergence. Numerical experiments were conducted to assess its performance against the original Jacobi method, the second refinement of Jacobi, and the Gauss-Seidel method. The outcomes underscore the "Third Refinement of Jacobi" method's potential to enhance the efficiency of linear system solving, thereby making it a valuable addition to the toolkit of numerical methodologies in scientific and engineering domains.en_US
dc.language.isoenen_US
dc.publisherFUDMA Journal of Sciences (FJS)en_US
dc.subjectLinear system, iteration processen_US
dc.subjectThird refinement, Jacobi methoden_US
dc.subjectcoefficient matrix, Rapid Convergenceen_US
dc.titleA THIRD REFINEMENT OF JACOBI METHOD FOR SOLUTIONS TO SYSTEM OF LINEAR EQUATIONSen_US
dc.typeArticleen_US
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