Question: The nonlinear system x21 10x1 + x22 + 8 = 0, x1x22 + x1 10x2 + 8 = 0 can be transformed into the fixed-point

The nonlinear system
x21 ˆ’ 10x1 + x22 + 8 = 0, x1x22 + x1 ˆ’ 10x2 + 8 = 0
can be transformed into the fixed-point problem
+3 +8 10 Xx3 +x, +8 10 X = g1(x1, 12) = X = g1(x1,X2) =

a. Use Theorem 10.6 to show that G = (g1, g2)t mapping D Š‚ R2 into R2 has a unique fixed point in
D = {(x1, x2)t | 0 ‰¤ x1, x2 ‰¤ 1.5}.

+3 +8 10 Xx3 +x, +8 10 X = g1(x1, 12) = X = g1(x1,X2) =

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