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:On the distinguished eigenvalues of a cone-preserving map
學年78
學期2
出版(發表)日期1990/04/01
作品名稱On the distinguished eigenvalues of a cone-preserving map
作品名稱(其他語言)
著者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 131(C), pp.17-37
摘要We generalize many known results on a nonnegative matrix concerning linear inequalities, Collatz-Wielandt sets, and generalized eigenvectors to the setting of a matrix preserving a (finite-dimensional) proper cone. A simple cone-theoretic proof is given for the nonnegative-basis theorem for the algebraic eigenspace of a nonnegative matrix. The result is also extended to a matrix preserving a polyhedral cone. Given proper cones K1 and K2 in different euclidean spaces, a necessary and sufficient condition is also obtained for the existence of a nonzero matrix X which takes K2 into K1 and satisfies AX = XB, where A, B are given matrices preserving K1 and K2 respectively. This extends and answers a recent open question posed by Hartwig.
關鍵字
語言英文
ISSN0024-3795
期刊性質國外
收錄於SCI
產學合作
通訊作者Tam, Bit-Shun
審稿制度
國別美國
公開徵稿
出版型式紙本
相關連結
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