# 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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