EMIS ELibM Electronic Journals Zeitschrift für Analysis und ihre Anwendungen
Vol. 18, No. 2, pp. 175 - 182 (1999)

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On the Matrix Norm Subordinate to the Hölder Norm

J. Albrecht and P. P. Klein

J. Albrecht: Techn. Univ. Clausthal, Inst. Math., Erzstr. 1, D-38678 Clausthal-Zellerfeld
P. P. Klein: Techn. Univ. Clausthal, Rech.-Zentrum, Erzstr. 51, D-38678 Clausthal-Zellerfeld

Abstract: For non-negative matrices $P$ the matrix norm subordinate to the Hölder norm of index $p$ with $p \in (1,\infty)$ is determined by an eigenvalue problem $T\alpha = \lambda\alpha$, where $T$ is a homogeneous, strongly monotone operator.

Keywords: Hölder vector norms, subordinate matrix norms, non-negative matrices

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Electronic fulltext finalized on: 31 Jul 2001. This page was last modified: 9 Nov 2001.

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