The minimum, diagonal element of a positive matrix
Smyth, M. ; West, T.
Studia Mathematica, Tome 129 (1998), p. 95-99 / Harvested from The Polish Digital Mathematics Library

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.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216566
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     title = {The minimum, diagonal element of a positive matrix},
     journal = {Studia Mathematica},
     volume = {129},
     year = {1998},
     pages = {95-99},
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Smyth, M.; West, T. The minimum, diagonal element of a positive matrix. Studia Mathematica, Tome 129 (1998) pp. 95-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv131i1p95bwm/

[00000] [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. | Zbl 0131.24806

[00001] [2] M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities, Dover, Mineola, N.Y., 1992.