Further bounds for the spread of a matrix

DOI10.1007/s40574-023-00367-7OpenAlexW4379114427MaRDI QIDQ6201504

Abdelkader Frakis, Soumia Soltani

Publication date: 21 February 2024

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-023-00367-7

zbMATH Keywords

Frobenius normHermitian matrixnormal matrixtrace of matrix

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

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• Inequalities for central moments and spreads of matrices
• On the spread of matrices and polynomials
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• The spread of a matrix
• Lower bounds for the spread of a nonnegative matrix
• Localization of the eigenvalues of a matrix through its spread
• Applications of polar decompositions of idempotent and 2-nilpotent operators
• Inequalities between the Two Kinds of Eigenvalues of a Linear Transformation