Note on the Jordan form of an irreducible eventually nonnegative matrix
學年 103
學期 2
出版（發表）日期 2015-06-01
作品名稱 Note on the Jordan form of an irreducible eventually nonnegative matrix
作品名稱（其他語言）
著者 Leslie Hogben; Tam, Bit-Shun; Ulrica Wilson
單位
出版者
著錄名稱、卷期、頁數 The Electronic Journal of Linear Algebra 30, pp.279-285
摘要 A square complex matrix A is eventually nonnegative if there exists a positive integer k_0 such that for all k ≥ k_0, A^k ≥ 0; A is strongly eventually nonnegative if it is eventually nonnegative and has an irreducible nonnegative power. It is proved that a collection of elementary Jordan blocks is a Frobenius Jordan multiset with cyclic index r if and only if it is the multiset of elementary Jordan blocks of a strongly eventually nonnegative matrix with cyclic index r. A positive answer to an open question and a counterexample to a conjecture raised by Zaslavsky and Tam are given. It is also shown that for a square complex matrix A with index at most one, A is irreducible and eventually nonnegative if and only if A is strongly eventually nonnegative.
關鍵字 Irreducible eventually nonnegative;Strongly eventually nonnegative;Eventually reducible;Eventually r-cyclic;Cyclic index;Frobenius collection;Frobenius Jordan multiset;Jordan multiset;Jordan form
語言 en_US
ISSN 1537-9582 1081-3810
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度 是
國別 USA
公開徵稿
出版型式 ,電子版,紙本
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