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mws_gen_sle_ppt_seidel - Gauss-Siedel Method Major All...

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1/10/2010 http://numericalmethods.eng.usf.edu 1 Gauss-Siedel Method Major: All Engineering Majors Authors: Autar Kaw http://numericalmethods.eng.usf.edu Transforming Numerical Methods Education for STEM Undergraduates
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Gauss-Seidel Method http://numericalmethods.eng.usf.edu
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http://numericalmethods.eng.usf.edu Gauss-Seidel Method An iterative method. Basic Procedure : -Algebraically solve each linear equation for x i -Assume an initial guess solution array -Solve for each x i and repeat -Use absolute relative approximate error after each iteration to check if error is within a pre-specified tolerance.
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http://numericalmethods.eng.usf.edu Gauss-Seidel Method Why? The Gauss-Seidel Method allows the user to control round-off error . Elimination methods such as Gaussian Elimination and LU Decomposition are prone to prone to round-off error. Also: If the physics of the problem are understood, a close initial guess can be made, decreasing the number of iterations needed.
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