Fixed-point iteration with relative errors

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Reference no: EM13123613

Please show each step of your solution and tell me the theorems, definitions, etc. if you use any.

Investigate the nature of the fixed-point iteration when

g(x) = -4 - 4x - 1/2x^2

a) Solve g(x) = x and show that P=2 and p=4 are fixed points.

b) Use the starting value p0 = 1.9 and compute p1, p2 and p3.

c) Use the starting value p = 3.8 and compute p1, p2 and p3.

d) Find the errors E_ k and relative errors R_k for the values p1 in parts b) and c).

e) What conclusions can be drawn?

Reference no: EM13123613

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