The minimum, diagonal element of a positive matrix
Studia Mathematica (1998)
- Volume: 131, Issue: 1, page 95-99
- ISSN: 0039-3223
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topSmyth, M., and West, T.. "The minimum, diagonal element of a positive matrix." Studia Mathematica 131.1 (1998): 95-99. <http://eudml.org/doc/216566>.
@article{Smyth1998,
abstract = {Properties of the minimum diagonal element of a positive matrix are exploited to obtain new bounds on the eigenvalues thus exhibiting a spectral bias along the positive real axis familiar in Perron-Frobenius theory.},
author = {Smyth, M., West, T.},
journal = {Studia Mathematica},
keywords = {Perron-Frobenius theorem; positive matrix; positive real eigenvalue},
language = {eng},
number = {1},
pages = {95-99},
title = {The minimum, diagonal element of a positive matrix},
url = {http://eudml.org/doc/216566},
volume = {131},
year = {1998},
}
TY - JOUR
AU - Smyth, M.
AU - West, T.
TI - The minimum, diagonal element of a positive matrix
JO - Studia Mathematica
PY - 1998
VL - 131
IS - 1
SP - 95
EP - 99
AB - Properties of the minimum diagonal element of a positive matrix are exploited to obtain new bounds on the eigenvalues thus exhibiting a spectral bias along the positive real axis familiar in Perron-Frobenius theory.
LA - eng
KW - Perron-Frobenius theorem; positive matrix; positive real eigenvalue
UR - http://eudml.org/doc/216566
ER -
References
top- [1] M. Fiedler and V. Pták, On matrices with non-positive off-diagonal elements and positive principal minors, Czechoslovak Math. J. 12 (87) (1962), 382-400. Zbl0131.24806
- [2] M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities, Dover, Mineola, N.Y., 1992.
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