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SciMax Toolbox >> ele2polynome

ele2polynome

Maxima Function

Calling Sequence

ele2polynome (L, z)

Description

returns the polynomial in z s.t. the elementary symmetric functions of its roots are in the list L = [n,e_1, ..., e_n], where n is the degree of the polynomial and e_i the i-th elementary symmetric function.

(%i1) ele2polynome ([2, e1, e2], z);
                          2
(%o1)                    z  - e1 z + e2
(%i2) polynome2ele (x^7 - 14*x^5 + 56*x^3  - 56*x + 22, x);
(%o2)          [7, 0, - 14, 0, 56, 0, - 56, - 22]
(%i3) ele2polynome ([7, 0, -14, 0, 56, 0, -56, -22], x);
                  7       5       3
(%o3)            x  - 14 x  + 56 x  - 56 x + 22

The inverse: polynome2ele (P, z).

Also see: polynome2ele, pui2polynome.

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