@COMMENT {Autogenerated file by bib2html.pl version 0.94}
@article{hdt-jcam-2011,
author = "Milan Hlad\'{\i}k and David Daney and
Elias~P. Tsigaridas",
title = "An algorithm for addressing the real interval
eigenvalue problem",
journal = "J. Comput. Appl. Math.",
fjournal = "Journal of Computational and Applied Mathematics",
volume = 235,
number = 8,
pages = "2715-2730",
year = 2011,
abstract = "In this paper we present an algorithm for
approximating the range of the real eigenvalues of
interval matrices. Such matrices could be used to
model real-life problems, where data sets suffer
from bounded variations such as uncertainties
(e.g. tolerances on parameters, measurement errors),
or to study problems for given states. The algorithm
that we propose is a subdivision algorithm that
exploits sophisticated techniques from interval
analysis. The quality of the computed approximation
and the running time of the algorithm depend on a
given input accuracy. We also present an efficient
C++ implementation and illustrate its efficiency on
various data sets. In most of the cases we manage to
compute efficiently the exact boundary points
(limited by floating point representation).",
keywords = "interval matrix, real eigenvalue, eigenvalue bounds,
regularity, interval analysis",
}