Assume we have the following system of linear equation x1 + 4x2 = 5 x2 + 2x3 = 2 4x1 + 3x3 = 0 Note that a strictly diagonally dominant system guarantee the convergence of the methods such as Jacobi or Gauss-Seidal Method. After transforming the above system into a strictly diagonally dominant system and if we apply two steps of the Gauss-Seidal Methods from an initial guess (x1(1) , x2(1) , x3(1) ) = (0, 0, 0), then we get (x1(3) , x2(3) , x3(3) ). Fill in the following blanks by rounding in four decimal place. x1(3) = x2(3) =
Assume we have the following system of linear equation x1 + 4x2 = 5 x2 + 2x3 = 2 4x1 + 3x3 = 0 Note that a strictly diagonally dominant system guarantee the convergence of the methods such as Jacobi or Gauss-Seidal Method. After transforming the above system into a strictly diagonally dominant system and if we apply two steps of the Gauss-Seidal Methods from an initial guess (x1(1) , x2(1) , x3(1) ) = (0, 0, 0), then we get (x1(3) , x2(3) , x3(3) ). Fill in the following blanks by rounding in four decimal place. x1(3) = x2(3) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Assume we have the following system of linear equation
x1 + 4x2 = 5
x2 + 2x3 = 2
4x1 + 3x3 = 0
Note that a strictly diagonally dominant system guarantee the convergence of the methods such as Jacobi or Gauss-Seidal Method.
After transforming the above system into a strictly diagonally dominant system and if we apply two steps of the Gauss-Seidal Methods from an initial guess (x1(1) , x2(1) , x3(1) ) = (0, 0, 0), then we get (x1(3) , x2(3) , x3(3) ). Fill in the following blanks by rounding in four decimal place.
x1(3) =
x2(3) =
x3(3) =
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