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.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     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},
     publisher = {mathdoc},
     volume = {3},
     year = {1995},
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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/