Material : Numerical Analysis Q4: The linear system of equations14110 || x,30 2X3has an exact solution i = (1,2,-1). Find the optimal choice of @ =1+for the SOR method with two significant digits rounding. Compute the first twoapproximations using the SOR method.

Given: The linear system of equations: 210110002x1x2x3=43-2 Exact solution: x=12-1t

04: The linear system of equations 2 10 X 4 1 1 0| x, | = 0 0 2 || X3 2 has an exact solution i = (1,2,-1). Find the optimal choice of o = 1+. for the SOR method with two significant digits rounding. Compute the first two approximations using the SOR method.

04: The linear system of equations 2 10 X 4 1 1 0| x, | = 0 0 2 || X3 2 has an exact solution i = (1,2,-1). Find the optimal choice of o = 1+. for the SOR method with two significant digits rounding. Compute the first two approximations using the SOR method.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 24PT: Find the exact solution for 2x3=62x1. If there isno solution, write no solution.

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Question

Material : Numerical Analysis

Q4: The linear system of equations
1
4
1
1
0 || x,
3
0 2
X3
has an exact solution i = (1,2,-1). Find the optimal choice of @ =
1+
for the SOR method with two significant digits rounding. Compute the first two
approximations using the SOR method.

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