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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


A dominance theorem for partitioned Hermitian matrices

Author: Russell Merris
Journal: Trans. Amer. Math. Soc. 164 (1972), 341-352
MSC: Primary 15A48
MathSciNet review: 0296091
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Abstract: Let $ A = ({A_{ij}})$ be a partitioned positive semidefinite hermitian matrix, where $ {A_{ij}}$ is n-square, $ 1 \leqq i,j \leqq m$. A class of ordered pairs of functions $ ({f_1},{f_2})$ is given such that $ ({f_1}({A_{ij}})) - ({f_2}({A_{ij}}))$ is positive semidefinite hermitian. Applications are given.

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PII: S 0002-9947(1972)0296091-9
Keywords: Generalized matrix function, Schur function, associated transformation, Kronecker product, Hadamard (Schur) product, (group) character, orthogonality relations
Article copyright: © Copyright 1972 American Mathematical Society