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BOUNDS ON NORMS OF COMPOUND MATRICES AND ON PRODUCTS OF EIGENVALUES

Published online by Cambridge University Press:  01 January 2000

LUDWIG ELSNER ,
DANIEL HERSHKOWITZ  and
HANS SCHNEIDER
LUDWIG ELSNER
Affiliation:
Fakultät für Mathematik, Universität Bielefeld, Postfach 100131, D-33615 Bielefeld, Germany
DANIEL HERSHKOWITZ
Affiliation:
Department of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, Israel
HANS SCHNEIDER
Affiliation:
Department of Mathematics, University of Wisconsin, Madison, WI 53706, USA
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Abstract

An upper bound on operator norms of compound matrices is presented, and special cases that involve the l1, l2 and l∞ norms are investigated. The results are then used to obtain bounds on products of the largest or smallest eigenvalues of a matrix.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 1 , January 2000 , pp. 15 - 24
Copyright
© The London Mathematical Society 2000

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