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Inequalities for Symmetric Functions and Hermitian Matrices

Published online by Cambridge University Press:  20 November 2018

M. Marcus  and
L. Lopes
M. Marcus
Affiliation:
University of British Columbia
L. Lopes
Affiliation:
United States Naval Ordnance Test Station Pasadena, Cal.
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The purpose of this paper is to present two concavity results for symmetric functions and apply these to obtain inequalities connecting the characteristic roots of the non-negative Hermitian (n.n.h.) matrices A, B and A + B.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 9 , 1957 , pp. 305 - 312
Copyright
Copyright © Canadian Mathematical Society 1957

References

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