Apply Jacobi's or Gauss Seidel method to the given system. Take the zero vector as the initial approximation and work with four significant digit accuracy until two successive iterates agree within 0.001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like. 2A + B = 5 А -В 31

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter2: Systems Of Linear Equations
Section2.5: Iterative Methods For Solving Linear Systems
Problem 5EQ
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Apply Jacobi's or Gauss Seidel method to the given system. Take the zero vector as the initial
approximation and work with four significant digit accuracy until two successive iterates agree
within 0.001 in each variable. In each case, compare your answer with the exact solution found
using any direct method you like.
2A + B = 5
А -В 31
Transcribed Image Text:Apply Jacobi's or Gauss Seidel method to the given system. Take the zero vector as the initial approximation and work with four significant digit accuracy until two successive iterates agree within 0.001 in each variable. In each case, compare your answer with the exact solution found using any direct method you like. 2A + B = 5 А -В 31
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