Browsing by Author "Alpin Y."

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Inequalities for the Perron root related to Levinger's theorem

Alpin Y.; Kolotilina L. (1998)

For the Perron roots of square nonnegative matrices A,B, and A + D-1BTD, where D is a diagonal matrix with positive diagonal entries, the inequality ρ(A + D-1BTD) ≥ ρ(A) + ρ(B) is proved under the assumption that A and B ...
On condensed forms for partially commuting matrices

Alpin Y.; Elsner L.; Ikramov K. (2000)

Two complex n×n matrices A and B are said to be partially commuting if A and B have a common eigenvector. We propose a condensed form for such matrices that can be obtained from A and B by a finite rational computation. ...
The numerical radius and bounds for zeros of a polynomial

Alpin Y.; Chien M.; Yeh L. (2003)

Let p(t) be a monic polynomial. We obtain two bounds for zeros of p(t) via the Perron root and the numerical radius of the companion matrix of the polynomial.

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