On \(k\)-major norms and \(k\)-minor antinorms

DOI10.1016/0024-3795(92)90218-YzbMath0776.15019MaRDI QIDQ1200575

Jorma Kaarlo Merikoski, G. N. de Oliveira

Publication date: 16 January 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

lower and upper boundsmatrix normsPerron rootantinorms\(k\)-major norm\(k\)-minor normFrobenius bounds

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (3)

Linear best approximation using a class of \(k\)-major \(l_ p\) norms ⋮ Antinorms on cones: duality and applications ⋮ An antinorm theory for sets of matrices: bounds and approximations to the lower spectral radius

Cites Work

• Unnamed Item
• On \(l_{p_ 1,p_ 2}\) antinorms of nonnegative matrices
• On c-norms and c-antinorms on cones
• A lower bound for the Perron root of a nonnegative matrix
• Bounds for the Perron root of a nonnegative irreducible partitioned matrix
• Norme composee et norme associee généralisée d'une matrice
• On the submultiplicativity of norms of Hölder and Minkowski type
• Inequalities: theory of majorization and its applications

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