Geodesic
On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic
Electronic transactions on numerical analysis, Tome 3 (1995), pp. 116-149
Bisection is a parallelizable method for finding the eigenvalues of real symmetric tridiagonal matrices, or more generally symmetric acyclic matrices.
Classification : 65F15, 65Y05
Keywords: symmetric eigenvalue problem, parallel algorithms, monotonicity, correctness, floating point 
@article{ETNA_1995__3__a2,
     author = {Demmel,  James W. and Dhillon,  Inderjit and Ren,  Huan},
     title = {On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic},
     journal = {Electronic transactions on numerical analysis},
     pages = {116--149},
     year = {1995},
     volume = {3},
     zbl = {0860.65026},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1995__3__a2/}
}
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Demmel,  James W.; Dhillon,  Inderjit; Ren,  Huan. On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic. Electronic transactions on numerical analysis, Tome 3 (1995), pp. 116-149. http://geodesic.mathdoc.fr/item/ETNA_1995__3__a2/