Bounds for the extreme eigenvalues of block \(2 \times 2\) Hermitian matrices

DOI10.1007/s10958-005-0312-yzbMath1146.15009OpenAlexW2116725055MaRDI QIDQ937859

L. Yu. Kolotilina

Publication date: 18 August 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0312-y

zbMATH Keywords

Hermitian matrixextreme eigenvalueseigenvalue boundsspectral norm

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Cites Work

• Unnamed Item
• Optimal block diagonal scaling of block 2-cyclic matrices
• Optimally conditioned block \(2\times 2\) matrices
• On the extreme eigenvalues of block \(2\times 2\) Hermitian matrices

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