Monotonicity properties of norms

DOI10.1016/0024-3795(91)90085-BzbMath0717.15015MaRDI QIDQ753901

Charles R. Johnson, Peter M. Nylen

Publication date: 1991

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

zbMATH Keywords

complex matricesabsolute normHadamard-product inequalitiesmonotone norms

Mathematics Subject Classification ID

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

Related Items (17)

Monotonicity and \(^*\)orthant-monotonicity of certain maximum norms. ⋮ The de Finetti structure behind some norm-symmetric multivariate densities with exponential decay ⋮ Monotonicity properties of certain classes of norms ⋮ Convex hull properties in location theory ⋮ Unitarily invariant norm submultiplicativity ⋮ Location problem and inner product spaces ⋮ Monotonic norms and orthogonal issues in multidimensional voting ⋮ Hadamard product submultiplicativity of certain induced norms ⋮ Fourier transform of Rauzy fractals and point spectrum of 1D Pisot inflation tilings ⋮ Classes of Schur \(D\)-stable matrices ⋮ The sprinkling problem ⋮ The global convergence of the nonlinear power method for mixed-subordinate matrix norms ⋮ Technical Note—Global Robust Stability in a General Price and Assortment Competition Model ⋮ Stability in a general oligopoly model ⋮ \({\mathcal S}\)-subinvariant norms ⋮ On Schur \(D\)-stable matrices ⋮ Equilibria and Systemic Risk in Saturated Networks

Cites Work

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• On monotonic and orthant monotonic norms
• Hölder-type norm inequalities for Schur products of matrices
• Absolute and monotonic norms
• Some characterizations of orthant monotonic norms
• On operator norms of submatrices
• An Analog of the Cauchy–Schwarz Inequality for Hadamard Products and Unitarily Invariant Norms
• Matrix Analysis
• A Characterization of Hölder Norms

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