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

Chapter 10, Problem 1

(choose chapter or problem)

Use the method of Steepest Descent with TOL = 0.05 to approximate the solutions of the following nonlinear systems. a. 4x2 1 20x1 + 1 4 x2 2 + 8 = 0, 1 2 x1x2 2 + 2x1 5x2 + 8 = 0. b. 3x2 1 x2 2 = 0, 3x1x2 2 x3 1 1 = 0. c. ln(x2 1 + x2 2 ) sin(x1x2) = ln 2 + ln , ex1x2 + cos(x1x2) = 0. d. sin(4x1x2) 2x2 x1 = 0, 4 1 4 (e2x1 e) + 4ex2 2 2ex1 = 0.

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