Effectiveness of Preconditioned m-Order Gauss-Seidel Method for Linear System

Author(s)	Nirupma Bhatti, Niketa
Country	India
Abstract	Focusing on the current and the proposed preconditioner, this work examines the efficacy of the preconditioned m-order Gauss-Seidel method. Type I + S and I+N preconditioning are used for the current and proposed preconditioner respectively. Preconditioning algorithms for a linear system are constructed using iterative approaches. MATLAB are used to get the findings. The effectiveness of iterative method is compared concerning convergence, condition number, determinant, spectral radius, and the number of iterations for the current and proposed preconditioner. The numerical results show that for a linear system, the preconditioned m-order Gauss-Seidel method converges at a faster rate and the proposed preconditioner succeeds where the current preconditioner fails.
Keywords	Condition Number, Preconditioner, Spectral Radius
Field	Mathematics
Published In	Volume 5, Issue 2, March-April 2023
Published On	2023-04-26
Cite This	Effectiveness of Preconditioned m-Order Gauss-Seidel Method for Linear System - Nirupma Bhatti, Niketa - IJFMR Volume 5, Issue 2, March-April 2023. DOI 10.36948/ijfmr.2023.v05i02.2600
DOI	https://doi.org/10.36948/ijfmr.2023.v05i02.2600
Short DOI	https://doi.org/gr6h7p

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