On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic.

Demmel, James W., Dhillon, Inderjit, and Ren, Huan. "On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic.." ETNA. Electronic Transactions on Numerical Analysis [electronic only] 3 (1995): 116-149. <http://eudml.org/doc/119071>.

@article{Demmel1995,
author = {Demmel, James W., Dhillon, Inderjit, Ren, Huan},
journal = {ETNA. Electronic Transactions on Numerical Analysis [electronic only]},
keywords = {correctness; monotonicity; parallel algorithms; bisection method; eigenvalues; real symmetric tridiagonal matrices; real symmetric acyclic matrices; acyclic graphs; floating point arithmetic; bracketing algorithms; roundoff error analysis; EISPACK's bisect routine; LAPACK's dstebz routine; routine FlCnt\_IEEE},
language = {eng},
pages = {116-149},
publisher = {Kent State University, Department of Mathematics and Computer Science},
title = {On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic.},
url = {http://eudml.org/doc/119071},
volume = {3},
year = {1995},
}

TY - JOUR
AU - Demmel, James W.
AU - Dhillon, Inderjit
AU - Ren, Huan
TI - On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic.
JO - ETNA. Electronic Transactions on Numerical Analysis [electronic only]
PY - 1995
PB - Kent State University, Department of Mathematics and Computer Science
VL - 3
SP - 116
EP - 149
LA - eng
KW - correctness; monotonicity; parallel algorithms; bisection method; eigenvalues; real symmetric tridiagonal matrices; real symmetric acyclic matrices; acyclic graphs; floating point arithmetic; bracketing algorithms; roundoff error analysis; EISPACK's bisect routine; LAPACK's dstebz routine; routine FlCnt_IEEE
UR - http://eudml.org/doc/119071
ER -