next up previous contents index
suivant: Vandermonde matrix : vandermonde monter: Usual matrix précédent: Jordan bloc : JordanBlock   Table des matières   Index


Hilbert matrix : hilbert

hilbert takes as argument an integer n.
hilbert returns the Hilbert matrix.
A Hilbert matrix is a square matrix of size n whose elements aj, k are :

aj, k = $\displaystyle {\frac{{1}}{{j+k+1}}}$,    0 $\displaystyle \leq$ j, 0 $\displaystyle \leq$ k

Input :
hilbert(4)
Output :
[[1,1/2,1/3,1/4],[1/2,1/3,1/4,1/5],[1/3,1/4,1/5,1/6], [1/4,1/5,1/6,1/7]]



giac documentation written by Renée De Graeve and Bernard Parisse