Geodesic
A Fully Stable Rational Version of the QR Algorithm for Tridiagonal Matrices.
Numerische Mathematik, Tome 18 (1971), pp. 432-441

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@article{NUMA_1971__18_132122,
     author = {R.A. Sack},
     title = {A {Fully} {Stable} {Rational} {Version} of the {QR} {Algorithm} for {Tridiagonal} {Matrices.}},
     journal = {Numerische Mathematik},
     pages = {432--441},
     publisher = {mathdoc},
     volume = {18},
     year = {1971},
     zbl = {0221.65064},
     url = {http://geodesic.mathdoc.fr/item/NUMA_1971__18_132122/}
}
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R.A. Sack. A Fully Stable Rational Version of the QR Algorithm for Tridiagonal Matrices.. Numerische Mathematik, Tome 18 (1971), pp. 432-441. http://geodesic.mathdoc.fr/item/NUMA_1971__18_132122/