Positive definite preserving linear transformations on symmetric matrix spaces

2010/08/07 by Huynh Dinh Tuan, Tuan, Huynh Dinh, Tran Thi Nha Trang +2
Computer Science · Mathematics · Decision Sciences · #Matrix Theory and Algorithms #Advanced Topics in Algebra #Fuzzy and Soft Set Theory

paper · pdf · doi:10.48550/arxiv.1008.1347

Abstract

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→ A> 0", were given.

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