Generalized singular values, interlacing inequalities, and monotonic norms

DOI10.1016/0024-3795(91)90093-CzbMath0715.15009MaRDI QIDQ752140

María José Sodupe, Eduardo Marques de Sá

Publication date: 1991

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

zbMATH Keywords

singular valuesinterlacing inequalitiesinterlacing propertiesmonotonic normsorthant-monotonicitysubmatrices

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

Characterizations of \(^*\)orthant-monotonic norms

Cites Work

• Minimax and interlacing theorems for matrices
• On the interlacing property for singular values and eigenvalues
• Absolute and monotonic norms
• Characterizations of \(^*\)orthant-monotonic norms
• Interlacing inequalities for generalized singular values
• Principal submatrices. IX: Interlacing inequalities for singular values of submatrices
• Generalized minimax and interlacing theorems
• s-Numbers of operators in Banach spaces
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