A property of eigenvalue bounds for a class of symmetric tridiagonal interval matrices

DOI10.1002/NLA.753zbMath1265.15038OpenAlexW2000881181MaRDI QIDQ2918584

Hui-nan Leng, Quan Yuan, Zhiqing He

Publication date: 8 October 2012

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

Full work available at URL: https://doi.org/10.1002/nla.753

zbMATH Keywords

eigenvalue boundsymmetric interval matrixvertex matrix

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Inequalities involving eigenvalues and eigenvectors (15A42)

Cites Work

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• An evolution strategy method for computing eigenvalue bounds of interval matrices
• Solution theorems for the standard eigenvalue problem of structures with uncertain-but-bounded parameters
• Computing bounds to real eigenvalues of real-interval matrices
• Bounds on Eigenvalues of Interval Matrices
• The Laguerre Iteration in Solving the Symmetric Tridiagonal Eigenproblem, Revisited
• The Rayleigh quotient iteration method for computing eigenvalue bounds of structures with bounded uncertain parameters
• Analysis of Uncertain Structural Systems Using Interval Analysis
• Interval analysis of vibrating systems
• Computing eigenvalue bounds of structures with uncertain‐but‐non‐random parameters by a method based on perturbation theory

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