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 python : fixed point iteration : sqr(2) ,version 1.0
 peter.vlasschaert@gmail.com,31/08/2022              
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 method : fixed point iteration: x=g(x), cvg : g'(x) < 1 
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beginner error : python > case sensitive : NameError 
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parameter = 
 number of iterations =  1000
 tolerance            =  1e-13
init values = 
 gues value :sqr(2)   =  0.9
solution = 
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1 th iteration =  0.9  guess value 
2 th iteration =  1.5611111111111111
3 th iteration =  1.4211249505733492
4 th iteration =  1.4142303685261486
5 th iteration =  1.414213562472954
6 th iteration =  1.414213562373095
                                                       
Heron method : 
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g(sqr(2)) =  1.414213562373095