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Minimum trace norm of real symmetric and Hermitian matrices with zero diagonal

open access: yesSpecial Matrices
We establish tight lower bounds for the trace norm (‖⋅‖1)\left(\Vert \cdot {\Vert }_{1}) of real symmetric and Hermitian matrices with zero diagonal entries in terms of their entrywise L1{L}^{1}-norms (‖⋅‖(1))\left(\Vert \cdot {\Vert }_{\left(1)}).
Einollahzadeh Mostafa   +1 more
doaj   +1 more source

Linearizations of Hermitian Matrix Polynomials Preserving the Sign Characteristic

open access: yesSIAM Journal on Matrix Analysis and Applications, 2015
María Isabel Bueno Cachadina   +2 more
semanticscholar   +1 more source

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