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Bounds for the eigenvalues of block 2 × 2 Hermitian positive‐definite matrices

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Publication:3599982
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DOI10.1002/NLA.434zbMATH Open1164.15328OpenAlexW1969334443MaRDI QIDQ3599982

L. Yu Kolotilina

Publication date: 9 February 2009

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.434



zbMATH Keywords

condition numberequilibrated matriceseigenvalue boundsHermitian positive-definite matrixoptimal spectrumblock diagonal scaling


Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Inequalities involving eigenvalues and eigenvectors (15A42) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical computation of matrix norms, conditioning, scaling (65F35)








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