3- Consider the following system. 4x-y=15 x+5y=9 . Start with Po=0 and use Gauss-Seidel Iteration to find P (k=1,2). X1 = X2 = Y2 = Will Gauss-Seidel Iteration converge to the solution?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Answer the following questions [CLO1):
1- Let f(x) = (x+1)(x- 2)² = x³ - 3x2 +4, and assume that Newton-Raphson's Method was used to
find the root p= -1.
%3D
. Pis
: root
in
What is the value of constant A for this function when finding the root p=2?
2- Can the False Position Method be used to find the root of f)=
starting with the interval
X-2
3.71?
3- Consider the following system.
4x-y=15
x+5y=9
Start with Po=0 and use Gauss-Seidel Iteration to find P, (k=1,2).
X1 =
X2 =
Y2 =
Will Gauss-Seidel Iteration converge to the solution?
Transcribed Image Text:Answer the following questions [CLO1): 1- Let f(x) = (x+1)(x- 2)² = x³ - 3x2 +4, and assume that Newton-Raphson's Method was used to find the root p= -1. %3D . Pis : root in What is the value of constant A for this function when finding the root p=2? 2- Can the False Position Method be used to find the root of f)= starting with the interval X-2 3.71? 3- Consider the following system. 4x-y=15 x+5y=9 Start with Po=0 and use Gauss-Seidel Iteration to find P, (k=1,2). X1 = X2 = Y2 = Will Gauss-Seidel Iteration converge to the solution?
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