.13 Use the Gauss-Seidel method (a) without relaxation and (b) with relaxation (A = 1.2) to solve the following system to a tolerance of ɛ, = 5%. If necessary, rearrange the equations to achieve convergence. 2x, – 6x2 – x3 = -38 -3x - x2 + 7x3 = -34 %3D -8x, + x2 - 2x3 = -20

.13 Use the Gauss-Seidel method (a) without relaxation and (b) with relaxation (A = 1.2) to solve the following system to a tolerance of ɛ, = 5%. If necessary, rearrange the equations to achieve convergence. 2x, – 6x2 – x3 = -38 -3x - x2 + 7x3 = -34 %3D -8x, + x2 - 2x3 = -20

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 20EQ

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11.13 Use the Gauss-Seidel method (a) without relaxation and
(b) with relaxation (A = 1.2) to solve the following system to a
tolerance of ɛ, = 5%. If necessary, rearrange the equations to
achieve convergence.
2x1 - 6x2 - x3 = -38
-3x1 - x2 + 7x3 = -34
-8x1 + x2 - 2xz = -20

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