Visualization of the Newton's method when computing the roots of Z8=1 [Visualisation de la méthode de Newton lors du calcul des racines de Z8=1].




The eight black squares display the eight complex roots Z=cos(2.k.pi/8)+i*sin(2.k.pi/8) for k={0 -middle right-,1,2,3,4,5,6,7}.


[Plus d'informations à propos de la Méthode de Newton -en français/in french-]


See some related pictures (possibly including this one) displaying the computation of the roots of Zn=1 using Newton's method:


Z2=1

Z3=1

Z4=1

Z5=1

Z6=1

Z7=1

Z8=1


See some related pictures (possibly including this one) displaying the Newton's method when computing the roots of Zn=1 -sixteen trajectories are exhibibited, their starting points being the big circular dots-:


Z2=1

Z3=1

Z4=1

Z5=1

Z6=1

Z7=1

Z8=1



(CMAP28 WWW site: this page was created on 10/13/2021 and last updated on 01/12/2022 15:05:21 -CET-)



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