eigs method return different vectors per version (10 vs 13)

[entelostre]

Describe the bug

I call eigs like that:

let covariance = [[99.15192547870485, -206.05811568043288], [-206.05811568043288, 791.0897678733841]];
eigs(covariance);

Results per mathjs version:

v13.1.1
console.log(eigs.eigenvectors.map(e => e.vector));
[[0.9641465805245403, 0.2653702531611938], [-0.2653702531611938, 0.9641465805245403]]

v10.3.0
console.log(eigs.vectors)
[[0.9641465805245403, -0.2653702531611938], [0.2653702531611938, 0.9641465805245403]]

[nkumawat34]

can i work on this issue

[nkumawat34]

it is only coming with real symmetric matrices or did you check with more matrices also.

[nkumawat34]

in case of 10.2.0 version eigen vectors are coming in column wise for eigen values
in case of 13.2.0 version eigen vector you are printing coming in row wise for eigen values.

[josdejong]

Thanks for looking into this @nkumawat34 . If I understand you, the results are different but are both valid, right?

[nkumawat34]

yes

[josdejong]

Thanks, that makes sense indeed. I think that was changed in v12.0.0 via #3037.

Closing this issue now.