Upper (lower) bounds of the eigenvalues, spread and the open problems for the real symmetric interval matrices

DOI10.1002/mma.2601zbMath1262.15042OpenAlexW2007657308MaRDI QIDQ4919625

Junliang Wu

Publication date: 14 May 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2601

zbMATH Keywords

eigenvaluesinterval matricesopen problemsspreadthe upper (lower) bounds

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (2)

Bounds for absolute values and imaginary parts of matrix eigenvalues via traces ⋮ Eigenvalue bounds for symmetric matrices with entries in one interval

Cites Work

• Unnamed Item
• Systems of linear interval equations
• Lower bounds on the spectra of symmetric matrices with nonnegative entries
• On the eigenvectors belonging to the minimum eigenvalue of an essentially nonnegative symmetric matrix with bipartite graph
• On the range of eigenvalues of an interval matrix
• The spread of a matrix
• A necessary and sufficient condition for the stability of interval matrices
• The extreme eigenvalues and stability of Hermitian interval matrices
• Interval Matrices: Singularity and Real Eigenvalues
• Positive Definiteness and Stability of Interval Matrices
• Eigenvalues of tridiagonal symmetric interval matrices
• An algorithm for checking stability of symmetric interval matrices
• Extremal Eigenvalues of Real Symmetric Matrices with Entries in an Interval

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