A characterization of minimal Hermitian matrices

Andruchow, Esteban; Larotonda, Gabriel Andrés; Recht, Lázaro; Varela, Alejandro

Artículos de revistas

Fecha

2012-04

Registro en:

Andruchow, Esteban; Larotonda, Gabriel Andrés; Recht, Lázaro; Varela, Alejandro; A characterization of minimal Hermitian matrices; Elsevier Inc; Linear Algebra And Its Applications; 436; 7; 4-2012; 2366-2374

0024-3795

http://hdl.handle.net/11336/17755

http://repositorioslatinoamericanos.uchile.cl/handle/2250/1888306

Autor

Andruchow, Esteban

Larotonda, Gabriel Andrés

Recht, Lázaro

Varela, Alejandro

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

We describe properties of a Hermitian matrix M ∈ Mn(C) having minimal quotient norm in the following sense: M M + D for all real diagonal matrices D ∈ Mn(C). Here denotes the operator norm. We show a constructive method to obtain all the minimal matrices of any size.

Materias

MINIMAL HERMITIAN MATRIX

DIAGONAL MATRIX

QUOTIENT OPERATOR NORM

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