Apply the Gauss-Seidel method (xm-1 → xm)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Apply The Gauss-seidel method using R please
![This simple computing exercise will take you into the fascinating world of scientific
computing and machine learning. I assure you that you will be surprised and puzzled
by what your numerical results. I
Apply the Gauss-Seidel method (xm-1 → xm)
a11x" + a12X"- + a13X"
m-1
+ a23X3
+ a33X"
.m-1
.m-1
a21 X" + a22X"
a31 X" + a32X"
= b1
= b2
m
= b3
ym
to the solution of the nearly singular linear system of equation (Ao + el)x = b (for small e > 0)
1
-1
)
Ao
-1
2
-1
E R(A),
b
E ker(Ao).
e =
-1
1
(Note that A, is singular and Age = 0.)
Given x°
b, please fill in the following table for the smallest m satisfying || Axm – b|| < 10-8
10-1
10-2
10-3
10-4
10-5
10-6
10-7
10-8
0 [singular case]
I| || ||](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2db82d73-ee52-469c-9ab1-50861eeebdd0%2F7b617ad9-7988-4432-b732-fb7b4812f4c5%2Fevt9tjb_processed.png&w=3840&q=75)
Transcribed Image Text:This simple computing exercise will take you into the fascinating world of scientific
computing and machine learning. I assure you that you will be surprised and puzzled
by what your numerical results. I
Apply the Gauss-Seidel method (xm-1 → xm)
a11x" + a12X"- + a13X"
m-1
+ a23X3
+ a33X"
.m-1
.m-1
a21 X" + a22X"
a31 X" + a32X"
= b1
= b2
m
= b3
ym
to the solution of the nearly singular linear system of equation (Ao + el)x = b (for small e > 0)
1
-1
)
Ao
-1
2
-1
E R(A),
b
E ker(Ao).
e =
-1
1
(Note that A, is singular and Age = 0.)
Given x°
b, please fill in the following table for the smallest m satisfying || Axm – b|| < 10-8
10-1
10-2
10-3
10-4
10-5
10-6
10-7
10-8
0 [singular case]
I| || ||
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