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andreaferretti avatar andreaferretti commented on May 24, 2024

For eigenvalues, there is a dedicated function https://play.nim-lang.org/#ix=2LSo

import neo

let m = matrix(@[
    @[1f64, 2, 3],
    @[4f64, 5, 6],
    @[7f64, 8, 9]])
let e = m.eigenvalues()
echo e.real
echo e.img

For normal matrices, the eigenvectors can be read from the column vectors of its Schur decomposition (m.schur()), but I do not recall whether there is something more general than that in Neo

from neo.

andreaferretti avatar andreaferretti commented on May 24, 2024

Something like this should work:

import neo

let
  m = matrix(@[
    @[1f64, 4, 7],
    @[4f64, 5, 8],
    @[7f64, 8, 9]
  ])
  s = m.schur()
  e = s.eigenvalues.real
  f = s.factorization
for i in 0 .. 2:
  echo e[i]
  echo f.column(i)

https://play.nim-lang.org/#ix=2LSx

from neo.

GaudiestTooth17 avatar GaudiestTooth17 commented on May 24, 2024

Thank you!

from neo.

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