Determinantal inequalities for diagonally signed matrices and an application to Gram-Cauchy matrices

DOI10.1016/0024-3795(95)90928-9zbMath0833.15021OpenAlexW2058879776MaRDI QIDQ1899380

Charles R. Johnson, Peter R. Graves-Morris

Publication date: 9 October 1995

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

Full work available at URL: https://doi.org/10.1016/0024-3795(95)90928-9

zbMATH Keywords

positive definite matricesdeterminantal inequalitiesGram-Cauchy matricesHermitian diagonally signed matrices

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

An extension of a row convergence theorem for vector Padé approximants

Cites Work

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• Confluent Hermitian Cauchy matrices are diagonally signed
• Row convergence theorems for generalised inverse vector-valued Padé approximants
• An extension of a row convergence theorem for vector Padé approximants
• Matrix Analysis
• Convex Sets of Hermitian Matrices with Constant Inertia
• The Theory of Infinitely Divisible Matrices and Kernels

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