教師資料查詢 | 類別: 期刊論文 | 教師: 譚必信 Tam Bit-shun (瀏覽個人網頁)

標題:Two cores of a nonnegative matrix
學年102
學期1
出版(發表)日期2013/10/01
作品名稱Two cores of a nonnegative matrix
作品名稱(其他語言)
著者Peter Butkovič; Hans Schneider; Sergeĭ Sergeev; Tam, Bit-Shun
單位淡江大學數學學系
出版者Philadelphia: Elsevier Inc.
著錄名稱、卷期、頁數Linear Algebra and its Applications 439(7), pp.1929-1954
摘要We prove that the sequence of eigencones (i.e., cones of nonnegative eigenvectors) of positive powers Ak of a nonnegative square matrix A is periodic both in max algebra and in nonnegative linear algebra. Using an argument of Pullman, we also show that the Minkowski sum of the eigencones of powers of A is equal to the core of A defined as the intersection of nonnegative column spans of matrix powers, also in max algebra. Based on this, we describe the set of extremal rays of the core.
The spectral theory of matrix powers and the theory of matrix core is developed in max algebra and in nonnegative linear algebra simultaneously wherever possible, in order to unify and compare both versions of the same theory.
關鍵字
語言英文(美國)
ISSN1873-1856;0024-3795
期刊性質國外
收錄於SCI;
產學合作
通訊作者P. Butkovič
審稿制度
國別美國
公開徵稿
出版型式,電子版,紙本
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