Positive definite preserving linear transformations on symmetric matrix spaces

Details Positive definite preserving linear transformations on symmetric matrix spaces Positive definite preserving linear transformations on symmetric matrix spaces

2010-08-07

arxiv.org/abs/1008.1347v1

Mathematics

Rings and Algebras

8 pages

Scientific paper

Base on some simple facts of Hadamard product, characterizations of positive
definite preserving linear transformations on real symmetric matrix spaces with
an additional assumption "$\ra T(E_{ii})=1, i=1,2,..., n$" or "$T(A)>0\to A>
0$", were given.

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