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

Next Article

Contents of this Issue

Other Issues

ELibM Journals

ELibM Home



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

Full text of the article:

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

© 2001 Heldermann Verlag
© 2001 ELibM for the EMIS Electronic Edition