The nonlinear system 5x2 xj 0, X2 0.25(sinxi + COSX2) = 0 has a solution near (

Chapter 10, Problem 4

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The nonlinear system 5x2 xj 0, X2 0.25(sinxi + COSX2) = 0 has a solution near (|, |)'. a. Find a function G and a set D in E 2 such that G : D E 2 and G has a unique fixed pointin D. b. Apply fixed-point iteration to approximate the solution to within 10~5 in the norm. c. Does the Gauss-Seidel method accelerate convergence?

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