Q1. Find the first approximation for the following nonlinear system using Newton-Raphson method with the Gauss-Seidel algorithm starting with initial approximation (xı, X2, X3)"= (1, 1, 1)". 3r1 – cos(1213) – 5 -0, I- 81(12 + 0.1)? + sin r3 +1.06 = 0, ez1 + 20r3 + 107 – 3 0,

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q1. Find the first approximation for the following nonlinear system using Newton-Raphson method
with the Gauss-Seidel algorithm starting with initial approximation (xı, x2, X3)"= (1, 1, 1)".
3r1 – cos(1213)
1
0,
I- 81(r2 + 0.1)² + sin r3 +1.06 = 0,
%3D
e1 + 20r3 +
107 – 3
0,
Transcribed Image Text:Q1. Find the first approximation for the following nonlinear system using Newton-Raphson method with the Gauss-Seidel algorithm starting with initial approximation (xı, x2, X3)"= (1, 1, 1)". 3r1 – cos(1213) 1 0, I- 81(r2 + 0.1)² + sin r3 +1.06 = 0, %3D e1 + 20r3 + 107 – 3 0,
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