Consider the linear system with b = (-1,7, -7) and 3 -1 1 A -1 3 -1 1 -1 3 (a) Verify that the SOR method with value w = 1.25 of the relaxation parameter converges for this system. (b) Compute the first iteration by the SOR method starting at the point x = (You can do it by hand or wiritng a MATLAB code.) (0,0,0).

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Consider the linear system with b = (-1,7, -7) and
1
+(239)
A
=
-1
-1
1
-1
(a) Verify that the SOR method with value w =
1.25 of the relaxation parameter
converges for this system.
(b) Compute the first iteration by the SOR method starting at the point x =
(You can do it by hand or wiritng a MATLAB code.)
(0, 0, 0).
Transcribed Image Text:Consider the linear system with b = (-1,7, -7) and 1 +(239) A = -1 -1 1 -1 (a) Verify that the SOR method with value w = 1.25 of the relaxation parameter converges for this system. (b) Compute the first iteration by the SOR method starting at the point x = (You can do it by hand or wiritng a MATLAB code.) (0, 0, 0).
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