It seems like the algorithm for calculating the SVD depends on an implicit implementation of the shifted QR algorithm to diagonalize a bidiagonal matrix, but the QR algorithm isnt guaranteed to always converge except under special conditions (the only one of which I could find is for when the absolute values of the eigenvalues are distinct). Does this mean this algorithm isnt guaranteed to converge as well?
2026-04-02 12:59:13.1775134753
Is the basic Golub and Reinsch algorithm for calculating the SVD guaranteed to converge?
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