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

DOI10.1007/s00010-016-0412-4zbMath1353.15024OpenAlexW2276891868MaRDI QIDQ329386

Nestor Janier Thome

Publication date: 21 October 2016

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-016-0412-4

zbMATH Keywords

rankgeneralized inversesMoore-Penrose inverseFrobenius inequalitySylvester inequality

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

On the minus partial order in control systems ⋮ Characterizations and perturbation analysis of a class of matrices related to core-EP inverses ⋮ Acute perturbation for Moore-Penrose inverses of tensors via the T-product

Cites Work

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• The matrix equation \(AX-YB=C\)
• Generalized inverses. Theory and applications.
• Condition number of the \(W\)-weighted Drazin inverse
• Matrix Tricks for Linear Statistical Models
• On k-potent matrices

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