1d7d066b-b80a-4dc5-8be3-35307cc477cf 16 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

Sort sparse complex roots

data list ListCollect'i' conflicts Im select list : ct 1 : j select a ct el data j 1 el : ct ct 1 + : 21 line for a 51 line :

Companion Matrix ...
dn_LinAlgEigenvalues(E) E 000421002701013 - 001544 mat :

If you have the 'Companion Matrix' convert to polyroots vector. Othterwise, use dn_LinAlgEigenvalues(E) for immediate polyroots.

v E 4 col 1 - (* 1 stack (: 42 - 27 - 135 - 151 mat

r v polyroots : 0.9429 - 0.9402 3.1749 i * + 0.9402 3.1749 i * - 4.0624 41 mat

r E dn_LinAlgEigenvalues :

Isolate for
next demand r r eval : 0.9429 - 0.9402 3.1749 i * + 0.9402 3.1749 i * - 4.0624 41 mat

L(x) sorted Lagrange Re [ ■ ] ≡

from visual list 231414 mat :

x Lagrange x r j el - j 14 product Re :

ON/OFF  ► sorted/unsorted r r list ListCollect :

Lagrange roots style x L x r n el - (n 14 product :

0.943 - 0 . 14 black 1 5 mat x L 4.062 0 . 14 black 1 5 mat 3 1 sys x Lagrange 0.943 - 0 . 14 black 1 5 mat 4.062 0 . 14 black 1 5 mat 3 1 sys

Recover the canonic polynomial x poly v n el x n 1 -^* n 1 v rows sum :

x poly simplify maple 42 - 27 x * - 13 x 2^* + 5 x 3^* - x 4^+

x P 42 - 27 x * - 13 x 2^* + 5 x 3^* - x 4^+ :

0.942929483781772 - 0.94024802630902 3.17494992842231 i * + 0.94024802630902 3.17494992842231 i * - 4.06243343116372 41 mat

X x P x 1 - 4.25 solve : 0.942929974772732 - 4.06243334421575 21 mat