標題: The numerical range of a nonnegative matrix
作者: Li, CW
Tam, BS
Wu, PY
應用數學系
Department of Applied Mathematics
關鍵字: numerical range;nonnegative matrix;irreducible real part;numerical radius;Perron-Frobe-nius theory;regular polygon;sharp point
公開日期: 15-七月-2002
摘要: 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
期刊: LINEAR ALGEBRA AND ITS APPLICATIONS
Volume: 350
Issue: 
起始頁: 1
結束頁: 23
顯示於類別:期刊論文


文件中的檔案:

  1. 000176152200001.pdf