Circularity of numerical ranges and block-shift matrices
學年 82
學期 2
出版(發表)日期 1994-06-01
作品名稱 Circularity of numerical ranges and block-shift matrices
作品名稱(其他語言)
著者 譚必信; Tam, Bit-shun
單位 淡江大學數學學系
出版者 Taylor & Francis
著錄名稱、卷期、頁數 Linear and Multilinear Algebra 37(1-3), pp.93-109
摘要 Let A be a square complex matrix. Several characterizations are found for A to be permutationally similar to a block-shift matrix. One interesting equivalent condition is that the numerical range of every matrix with the same zero pattern as A is a circular disk. Equivalent conditions for the characteristic polynomial of the hermitian part of the matrix e iθA to be the same for all real values θ are also obtained.Complex matrices of order four that are unitarily similar to a block-shift matrix are identified. A result of Marcus and Pesce [6] is extended, and an open question of Li and Tsing [4] is also answered partially.
關鍵字
語言 en
ISSN 0308-1087
期刊性質 國內
收錄於
產學合作
通訊作者
審稿制度
國別 TWN
公開徵稿
出版型式 ,電子版
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/41410 )

機構典藏連結