The nonlinear system 5x2 1 x2 2 = 0, x2 0.25(sin x1 + cos x2) = 0 has a solution near 1

Chapter 10, Problem 6

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The nonlinear system 5x2 1 x2 2 = 0, x2 0.25(sin x1 + cos x2) = 0 has a solution near 1 4 , 1 4 t . a. Find a function G and a set D in R2 such that G : D R2 and G has a unique fixed point in D. b. Apply functional iteration to approximate the solution to within 105 in the l norm. c. Does the Gauss-Seidel method accelerate convergence?

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