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Apply the Gauss-Seidel method (xm-1 → xm)

Apply the Gauss-Seidel method (xm-1 → xm)

Computer Networking: A Top-Down Approach (7th Edition)
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| || ||
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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