josdejong/mathjs

Schur result not quasi upper triangular

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#3,600 opened on 2025/11/22

 (3 件のコメント) (0 件のリアクション) (0 人の担当者)JavaScript (1,314 件のフォーク)batch import
bugcategory:numericalhelp wanted

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I think sometimes Schur returns a matrix that isn't quasi upper triangular.

To Reproduce Generic orthonormal matrices seem to create a problem. For example:

math.matrix([
      [-0.03591206220229135, -0.09100469507870354, 0.9952027277203429],
      [-0.3802068171617618, -0.9197139315803332, -0.09782157349362577],
      [0.9242040358990549, -0.38189583596928406, -0.0015717815434243287]
    ])

Possibly mathjs is running QR without a Wilkinson/Francis shift strategy?

Happy to contribute a PR on this if I'm not hallucinating the problem :).

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