A note on sectorial matrices

DOI10.1080/03081087.2019.1575332zbMath1452.15009OpenAlexW2911497538WikidataQ114641285 ScholiaQ114641285MaRDI QIDQ5133405

Mohammad Alakhrass

Publication date: 13 November 2020

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

Full work available at URL: https://doi.org/10.1080/03081087.2019.1575332

zbMATH Keywords

singular valueunitarily invariant normaccretive matrixdissipative matrixsectorial matrix

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (6)

Inequalities on 2 × 2 block positive semidefinite matrices ⋮ Numerical radius of products of special matrices ⋮ Inequalities for products of singular values of matrices ⋮ Further inequalities for sector matrices ⋮ Inequalities for products of the singular values of the weighted geometric means of sectorial matrices ⋮ On a reverse of the Tan-Xie inequality for sector matrices and its applications

Cites Work

• Unnamed Item
• Cauchy-Schwarz inequalities associated with positive semidefinite matrices
• On sectorial matrices
• Norm inequalities involving accretive-dissipative \(2\times 2\) block matrices
• Fischer type determinantal inequalities for accretive-dissipative matrices
• Norm inequalities for accretive-dissipative operator matrices
• Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector
• Fischer determinantal inequalities and Higham's conjecture
• Some inequalities for sector matrices
• A property of the geometric mean of accretive operators
• A matrix decomposition and its applications
• Matrices with Positive Definite Hermitian Part: Inequalities and Linear Systems
• Energy Conserving Norms for the Solution of Hyperbolic Systems of Partial Differential Equations
• Singular value inequalities for matrices with numerical ranges in a sector

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