Use (a) the Jacobi and (b) the Gauss-Seidel methods to solve the linear system Ax = b

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Use (a) the Jacobi and (b) the Gauss-Seidel methods to solve the linear system Ax = b to within 10ˆ’5 in the lˆž norm, where the entries of A are

And those of b are bi = Ï€, for each i = 1, 2, . . . , 80.

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:57 AM

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Use (a) the Jacobi and (b) the Gauss-Seidel methods to solve the linear system Ax = b

Question:

2i, en j i andi1,2. .80, 0.5, when j = i+2and i=1,2, 78, 0.25i, when+4andi 1,2,..,76, 0, otherwise, i-2 andi ..8.0. 1-4and i = 5, 6, 80.

Step by Step Answer:

Is IG 11 153873501 I2 073142167 010797136 13 IA 017328530 211 I12 I13 14 715 I16 Jacobi 33 iterations IT 18 010125265 Ig I10 009045966 117 118 I19 120 ...View the full answer

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