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

Demmel, James W.; Dhillon, Inderjit; Ren, Huan

ETNA. Electronic Transactions on Numerical Analysis [electronic only] (1995)

- Volume: 3, page 116-149
- ISSN: 1068-9613

## Access Full Article

top## How to cite

topDemmel, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.