Download PDF - The minimum, diagonal element of a positive matrixAll rights reserved. Copyright exceptions and limitations apply

ArticleOriginal scientific text

Title

The minimum, diagonal element of a positive matrix

Authors 1, 2

Affiliations

  1. Northern Ireland Department of Health and Social Services, Belfast, U.K.
  2. Trinity College, Dublin, Ireland

Abstract

Properties of the minimum diagonal element of a positive matrix are exploited to obtain new bounds on the eigenvalues thus exhibiting a spectral bias along the positive real axis familiar in Perron-Frobenius theory.

Bibliography

  1. M. Fiedler and V. Pták, On matrices with non-positive off-diagonal elements and positive principal minors, Czechoslovak Math. J. 12 (87) (1962), 382-400.
  2. M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities, Dover, Mineola, N.Y., 1992.
Studia Mathematica
1998/131/1
Export to PBN, Opens in new tab
Pages:
95-99
Main language of publication
English
Received
1997-11-12
Published
1998
Exact and natural sciences