Computation of the roots of Z4=1 using Newton's method [Calcul des racines de Z4=1 grâce à la méthode de Newton].




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


[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



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