On certain generalized matrix norms

DOI10.1016/0024-3795(80)90233-5zbMath0467.15014OpenAlexW2036642204MaRDI QIDQ1155697

Emeric Deutsch

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0024-3795(80)90233-5

zbMATH Keywords

logarithmic derivativegeneralized matrix norms

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Cites Work

• On some metrical properties of operator matrices and matrices partitioned into blocks
• Best possible ratios of certain matrix norms
• Absolute and monotonic norms
• Numerical radius of positive matrices
• Multiplicativity and compatibility of generalized matrix norms
• Matricial norms
• Logarithmic derivative of a square matrix
• A further remark on the logarithmic derivatives of a square matrix
• On Logarithmic Norms
• On Vectorial Norms and Pseudonorms
• Some Metric Inequalities in the Space of Matrices
• On matricial norms subordinate to vectorial norms
• The characteristic roots of a matrix
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