Mathematics 371 -- Numerical Analysis

September 12, 2001

Graphs of our example iteration functions for the

equation x^5-12*x+1 = 0

Rearrangement (a) -- x = (12*x-1)^(1/5)

> plot({x,root[5](12*x-1)},x=-1..3,scaling=constrained);

[Maple Plot]

Rearrangement (b) -- x = (x^4+1)/12

> plot({x,(x^5+1)/12},x=-1..3,y=-1..5,scaling=constrained);

[Maple Plot]

Rearrangement (c) -- x = -1/(x^4-12)

> plot({x,-1/(x^4-12)},x=-1..3,y=-1..5,scaling=constrained,discont=true);

[Maple Plot]

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