Convex spectral functions
- 1 January 1981
- journal article
- research article
- Published by Taylor & Francis in Linear and Multilinear Algebra
- Vol. 9 (4) , 299-316
- https://doi.org/10.1080/03081088108817381
Abstract
In this paper we characterize all convex functionals defined on certain convex sets of hermitian matrices and which depend only on the eigenvalues of matrices. We extend these results to certain classes of non-negative matrices. This is done by formulating some new characterizations for the spectral radius of non-negative matrices, which are of independent interest.Keywords
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