Monotonicity of positive semidefinite Hermitian matrices
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- by Russell Merris and Stephen Pierce PDF
- Proc. Amer. Math. Soc. 31 (1972), 437-440 Request permission
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.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 31 (1972), 437-440
- DOI: https://doi.org/10.1090/S0002-9939-1972-0285556-7
- MathSciNet review: 0285556