Solve the following nonlinear system using Newton-Raphson. Start at (0,0,0) and take one

iteration.

3x1 + x 2 + 2x3 = 3

-3x1 + 5x2 + 2x1x3 = 1

25x1x2 + + 20x3 = 12

b) Develop a set of equations for a successive substitution method for:

3x1 + x 2 + 2x3 = 3

-3x1 + 5x2 + 2x1x3 = 1

25x1x2 + + 20x3 = 12

c) Compare the Newton-Raphson update to the Successive Substitution update for each step.

Comment on the differences and similarities.

Solve the following nonlinear system using Newton-Raphson. Start at (0,0,0) and take one iteration. 3x1+x2+2x3=33x1+5x22+2x1x3=125x1x2++20x3=12 b) Develop a set of equations for a successive substitution method for: 3x1+x2+2x3=33x1+5x22+2x1x3=125x1x2++20x3=12 c) Compare the Newton-Raphson update to the Successive Substitution update for each step. Comment on the differences and similarities