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 en_US
ISSN 1873-1856 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 是
國別 USA
公開徵稿
出版型式 ,電子版,紙本
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