Department of Mathematics, IIHS, Kurukshetra University, Haryana, India.
Received on 01 January 2023; revised on 14 February 2023; accepted on 17 February 2023
This paper deals with the comparative study of preconditioned Symmetric Gauss-Seidel (SGS), New Symmetric Gauss-Seidel (NSGS), and Parametric Symmetric Gauss-Seidel (PSGS) methods for solving the linear system Ax = b are considered. This system is preconditioned with precondition type I + S. Convergence properties are analyzed with standard procedures and a numerical experiment is undertaken to compare the efficiency of the matrix. Algorithms are prepared. MATLAB software is used for checking computational efficiency of preconditioned iterative methods. Results indicate the effectiveness of preconditioning.
Symmetric Gauss-Seidel (SGS) method; New Symmetric Gauss-Seidel (NSGS) method; Parametric Symmetric Gauss-Seidel (PSGS) method; Condition number; Spectral radius
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Nirupma Bhatti and Niketa. Comparative study of Symmetric Gauss-Seidel methods and preconditioned Symmetric Gauss-Seidel methods for linear system. International Journal of Science and Research Archive, 2023, 08(01), 940–947. Article DOI: https://doi.org/10.30574/ijsra.2023.8.1.0155
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