Find the values of the parameter a, for which the conditions for convergence of the methods of Jacobi and Gauss-Seidel are satisfied. -2.5ar + ay + 5: = a 0.9r + ay + 2.6: = 1 1.3.r + 4y 3az = 1 Solve the system for some such a via the respective method with a tolerance 10-.

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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Find the values of the parameter a, for which the conditions for convergence
of the methods of Jacobi and Gauss-Seidel are satisfied.
5: = a
0.9 + ay + 2.6z = 1
3az = 1
-2.5ar + ay +
1.3r + 4y
Solve the system for some such a via the respective method with a tolerance 103.
Transcribed Image Text:Find the values of the parameter a, for which the conditions for convergence of the methods of Jacobi and Gauss-Seidel are satisfied. 5: = a 0.9 + ay + 2.6z = 1 3az = 1 -2.5ar + ay + 1.3r + 4y Solve the system for some such a via the respective method with a tolerance 103.
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