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Linear and Multilinear Algebra Volume 44, 1998 - Issue 3
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Original Articles

Extremal matrices in certain determinantal inequalities

Natália Bebiano Departmento de Matemática, Universidade de Coimbra, Coimbra, 3000, Portugal
&
Cecília Perdigão Departamento de Matematica, Universidade Nova de Lisboa, Portugal
Pages 261-276 | Received 17 Apr 1997, Published online: 31 Mar 2008
 
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Abstract

The extremal matrices in certain inequalities for determinants of sums are characterized. Related determinantal inequalities involving Hadamard products of positive definite matrices are presented. These inequalities are easy consequences of majorization results recently obtained by Ando and Visick.

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