Newton's fractal | chaos of complex cubic rootfinding by Newton's method
Avaldis 13: "Q" left parenthesis, "z" , right parenthesis equals "N" left parenthesis, "N" left parenthesis, "N" left parenthesis, "N" left parenthesis, "z" , right parenthesis , right parenthesis , right parenthesis , right parenthesisQz=NNNNz
13
four iterations
14
Avaldis 15: "Q" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis . "x" greater than or equal to 0Qx,y.x≥0
15
eight iterations
16
Avaldis 17: "Q" left parenthesis, "Q" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis . "x" greater than or equal to 0QQx,y.x≥0
17
Avaldis 18: "Q" left parenthesis, "Q" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis . "y" greater than or equal to 0.1QQx,y.y≥0.1
18
Avaldis 19: "Q" left parenthesis, "Q" left parenthesis, left parenthesis, "x" , "y" , right parenthesis , right parenthesis , right parenthesis . "y" less than or equal to negative 0.1QQx,y.y≤−0.1
