Monotonicity of positive semidefinite Hermitian matrices
Authors:
Russell Merris and Stephen Pierce
Journal:
Proc. Amer. Math. Soc. 31 (1972), 437-440
DOI:
https://doi.org/10.1090/S0002-9939-1972-0285556-7
MathSciNet review:
0285556
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Abstract | References | Additional Information
Abstract: Inequalities which compare elements of the convex cone of positive semidefinite hermitian matrices with products of roots of elements are proved. They yield inequalities for Schur functions (generalized matrix functions) which, when specialized to the determinant, give a result of R. Bellman and L. Mirsky.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1972-0285556-7
Keywords:
Symmetric group,
character,
tensor power,
Kronecker power
Article copyright:
© Copyright 1972
American Mathematical Society
