Question
Consider the systems 5x + y - 2z = 5 x + 4y 2x + 2y 7 = -9 i) Solve the system by
Consider the systems 5x + y - 2z = 5 x + 4y 2x + 2y 7 = -9 i) Solve the system by Jacobi, Gauss-Seidel, and SOR methods (take w = 1.5) and compare the number of iterations required for convergence (the exact solution is x = 2, y = -3,z = 1); ii) Using a tolerance & = 10-5, determine the error in the approximate solution using the Jacobi method; iii) Determine the number of iterations required to achieve the tolerance of 10-5 using Gauss-Seidel method. | = -10 %3D
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Linear Algebra A Modern Introduction
Authors: David Poole
4th edition
1285463242, 978-1285982830, 1285982835, 978-1285463247
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