After three iterations, the Jacobi method applied with initial approximation (0) x = x = 0.1 %3D to the system X1 + 3.x2 X3 | 3.x1 – - x2 X2 + 2.x3 1 (after it has been re-arranged so that it is strictly diagonally dominant), gives the solution of the system as 1 =..., X2 = ... and r3 = when all computations ... are rounded to three significant digits.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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After three iterations, the Jacobi method applied with initial approximation
a = x
= 0.1
to the system
x1 + 3.x2 – x3
3x1 – x2
x2 + 2.x3
(after it has been re-arranged so that it is strictly diagonally dominant), gives
the solution of the system as Xj = ..., X2 =
and x3 = ...
when all computations
are rounded to three significant digits.
Transcribed Image Text:After three iterations, the Jacobi method applied with initial approximation a = x = 0.1 to the system x1 + 3.x2 – x3 3x1 – x2 x2 + 2.x3 (after it has been re-arranged so that it is strictly diagonally dominant), gives the solution of the system as Xj = ..., X2 = and x3 = ... when all computations are rounded to three significant digits.
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