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Inequalities and equalities for l = 2 (Sylvester), l = 3 (Frobenius), and l > 3 matrices

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Inequalities and equalities for l = 2 (Sylvester), l = 3 (Frobenius), and l > 3 matrices

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Thome, N. (2016). Inequalities and equalities for l = 2 (Sylvester), l = 3 (Frobenius), and l > 3 matrices. Aequationes Mathematicae. 90(5):951-960. https://doi.org/10.1007/s00010-016-0412-4

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/82889

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Title: Inequalities and equalities for l = 2 (Sylvester), l = 3 (Frobenius), and l > 3 matrices
Author: Thome, Néstor
UPV Unit: Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros de Telecomunicación - Escola Tècnica Superior d'Enginyers de Telecomunicació
Universitat Politècnica de València. Instituto Universitario de Matemática Multidisciplinar - Institut Universitari de Matemàtica Multidisciplinària
Issued date:
Abstract:
This paper gives simple proofs of Sylvester (` = 2) and Frobenius (` = 3) inequalities. Moreover, a new sufficient condition for the equality of the Frobenius inequality is provided. In addition, an extension for ` > 3 ...[+]
Subjects: Sylvester inequality , Frobenius inequality , Moore-Penrose inverse , Rank
Copyrigths: Reserva de todos los derechos
Source:
Aequationes Mathematicae. (issn: 0001-9054 )
DOI: 10.1007/s00010-016-0412-4
Publisher:
Springer Verlag (Germany)
Publisher version: http://dx.doi.org/10.1007/s00010-016-0412-4
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2013-43678-P/ES/ANALISIS DE MODELOS MATEMATICOS CON COEFICIENTES MATRICIALES: FUNDAMENTOS TEORICOS Y APLICACIONES/
info:eu-repo/grantAgreement/MINECO//MTM2015-68805-REDT/ES/RED TEMATICA DE ALGEBRA LINEAL, ANALISIS MATRICIAL Y APLICACIONES/
Thanks:
This paper has been partially supported by Ministerio de Economia y Competitividad (Grant DGI MTM2013-43678P and Red de Excelencia MTM2015-68805-REDT). The author thanks the referees for their valuable suggestions.
Type: Artículo

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