The numerical range of a nonnegative matrix

Title:	The numerical range of a nonnegative matrix
Authors:	Li, CW Tam, BS Wu, PY 應用數學系 Department of Applied Mathematics
Keywords:	numerical range;nonnegative matrix;irreducible real part;numerical radius;Perron-Frobe-nius theory;regular polygon;sharp point
Issue Date:	15-Jul-2002
Abstract:	We offers an almost self-contained development of Perron-Frobenius type results for the numerical range of an (irreducible) nonnegative matrix, rederiving and completing the previous work of Issos, Nylen and Tam, and Tam. and Yang on this topic. We solve the open problem of characterizing nonnegative matrices whose numerical ranges are re gular convex polygons with center at the origin. Some related results are obtained and some open problems are also posed. (C) 2002 Elsevier Science Inc. All rights reserved.
URI:	http://hdl.handle.net/11536/28663
ISSN:	0024-3795
Journal:	LINEAR ALGEBRA AND ITS APPLICATIONS
Volume:	350
Issue:
Begin Page:	1
End Page:	23
Appears in Collections:	Articles

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