Title of article
Bounds for Levinger’s function of nonnegative almost skew-symmetric matrices
Author/Authors
Panayiotis J. Psarrakos، نويسنده , , Michael J. Tsatsomeros، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
14
From page
759
To page
772
Abstract
The analysis of the Perron eigenspace of a nonnegative matrix A whose symmetric part has rank one is continued. Improved bounds for the Perron root of Levinger’s transformation (1 − α)A + αAt (α [0, 1]) and its derivative are obtained. The relative geometry of the corresponding left and right Perron vectors is examined. The results are applied to tournament matrices to obtain a comparison result for their spectral radii.
Keywords
Perron vector , Levinger’s function , Tournament , Perron root
Journal title
Linear Algebra and its Applications
Serial Year
2006
Journal title
Linear Algebra and its Applications
Record number
825205
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