Use functional iteration to find solutions to the following nonlinear systems, accurate to within 10−5, using the l∞ norm.
a. x22+ x22− x1 = 0
x21 − x22 − x2 = 0.
b. 3x21 − x22= 0,
3x1 x22 − x31 − 1 = 0.
c. x21 + x2 − 37 = 0,
x1 − x22 − 5 = 0,
x1 + x2 + x3 − 3 = 0.
d. x21+ 2x22 − x2 − 2x3 = 0,
x21− 8x22+ 10x3 = 0,
x21 7x2 x3 − 1 = 0.