Extremal matrices in certain determinantal inequalities

Natália Bebiano; Cecília Perdigão

doi:10.1080/03081089808818562

Extremal matrices in certain determinantal inequalities

Natália Bebiano, Cecília Perdigão

DM - Departamento de Matemática

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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.

Original language	English
Pages (from-to)	261-276
Number of pages	16
Journal	Linear and Multilinear Algebra
Volume	44
Issue number	3
DOIs	https://doi.org/10.1080/03081089808818562
Publication status	Published - 1 Jan 1998

Keywords

Determinant
Singular values

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10.1080/03081089808818562

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title = "Extremal matrices in certain determinantal inequalities",

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.",

keywords = "Determinant, Singular values",

author = "Nat{\'a}lia Bebiano and Cec{\'i}lia Perdig{\~a}o",

year = "1998",

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doi = "10.1080/03081089808818562",

language = "English",

volume = "44",

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journal = "Linear and Multilinear Algebra",

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AU - Bebiano, Natália

AU - Perdigão, Cecília

PY - 1998/1/1

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N2 - 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.

AB - 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.

KW - Determinant

KW - Singular values

UR - https://www.scopus.com/pages/publications/26444503141

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DO - 10.1080/03081089808818562

M3 - Article

AN - SCOPUS:26444503141

SN - 0308-1087

VL - 44

SP - 261

EP - 276

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

IS - 3

ER -

Extremal matrices in certain determinantal inequalities

Abstract

Keywords

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