On the distinguished eigenvalues of a cone-preserving map

淡江大學機構典藏 > 理學院 > 應用數學與數據科學學系 > 期刊論文 > Item 987654321/41378

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题名:	On the distinguished eigenvalues of a cone-preserving map
作者:	Tam, Bit-Shun
贡献者:	淡江大學數學學系
日期:	1990-04
上传时间:	2013-06-13 11:25:26 (UTC+8)
出版者:	Philadelphia: Elsevier Inc.
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.
關聯:	Linear Algebra and Its Applications 131(C), pp.17-37
DOI:	10.1016/0024-3795(90)90372-J
显示于类别:	[應用數學與數據科學學系] 期刊論文

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