On two functions of a matrix with positive definite Hermitian part

DOI10.1016/0024-3795(94)00208-8zbMath0857.15012OpenAlexW2015717222MaRDI QIDQ1923208

Ji-guang Sun

Publication date: 11 March 1997

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

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00208-8

zbMATH Keywords

eigenvaluesnormsperturbation boundsHermitian part

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Matrices over function rings in one or more variables (15A54)

Cites Work

• Unnamed Item
• Estimation of the eigenvalues of AB for \(A>0\), \(B>0\)
• Unsymmetric positive definite linear systems
• On strictly dissipative matrices
• Dissipative matrices and related results
• Perturbation bounds for the definite generalized eigenvalue problem
• A note on Stewart's theorem for definite matrix pairs
• An inequality for matrices whose symmetric part is positive definite
• Matrix Analysis
• Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems

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