JournalszaaVol. 18, No. 2pp. 175–182

On the Matrix Norm Subordinate to the Holder Norm

  • J. Albrecht

    Clausthal-Zellerfeld, Germany
  • P.P. Klein

    Clausthal-Zellerfeld, Germany
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Abstract

For non-negative matrices PP the matrix norm subordinate to the Hölder norm of index pp with p(1,)p \in (1,\infty) is determined by an eigenvalue problem Tα=λαT\alpha = \lambda \alpha, where TT is a homogeneous, strongly monotone operator.

Cite this article

J. Albrecht, P.P. Klein, On the Matrix Norm Subordinate to the Holder Norm. Z. Anal. Anwend. 18 (1999), no. 2, pp. 175–182

DOI 10.4171/ZAA/875