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# Solved: Use the method of Steepest Descent with TOL = 0.05 to approximate the solutions

ISBN: 9780534392000 331

## Solution for problem 10.4.2 Chapter 10-4

Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Numerical Analysis (Available Titles CengageNOW) | 8th Edition

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Problem 10.4.2

Use the method of Steepest Descent with TOL = 0.05 to approximate the solutions of the following nonlinear systems. a. 15x1 + x 2 2 4x3 = 13, x 2 1 + 10x2 x3 = 11, x 3 2 25x3 = 22. b. 10x1 2x 2 2 + x2 2x3 5 = 0, 8x 2 2 + 4x 2 3 9 = 0, 8x2x3 + 4 = 0. c. x 3 1 + x 2 1 x2 x1 x3 + 6 = 0, ex1 + ex2 x3 = 0, x 2 2 2x1x3 = 4. d. x1 + cos(x1 x2x3) 1 = 0, (1 x1)1/4 + x2 + 0.05x 2 3 0.15x3 1 = 0, x 2 1 0.1x 2 2 + 0.01x2 + x3 1 = 0.

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