Computation of bounds for eigenvalues of structures with interval parameters

DOI10.1016/J.AMC.2010.03.121zbMath1193.65036OpenAlexW1989979204MaRDI QIDQ984291

Zhiqing He, Hui-nan Leng

Publication date: 19 July 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.03.121

zbMATH Keywords

numerical examplesinterval matricescontinuous functionseigenvalue boundsinterval parametersgeneralized eigenvalue problems

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interval and finite arithmetic (65G30) Inequalities involving eigenvalues and eigenvectors (15A42)

Related Items (6)

Real eigenvalue bounds of standard and generalized real interval eigenvalue problems ⋮ Novel estimations for the eigenvalue bounds of complex interval matrices ⋮ An algorithm to determine linear independence of a set of interval vectors ⋮ Interval arithmetic operations for uncertainty analysis with correlated interval variables ⋮ An analytical model for solving generalized interval eigenvalue problem ⋮ An interval algorithm for uncertain dynamic stability analysis

Uses Software

• INTLAB

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Natural frequencies of structures with uncertain but nonrandom parameters
• An evolution strategy method for computing eigenvalue bounds of interval matrices
• Eigenvalue bounds of structures with uncertain-but-bounded parameters
• The Interval Eigenvalue Problem
• The maximal eigenvalue and stability of a class of real symmetric interval matrices
• Eigenvalues of tridiagonal symmetric interval matrices
• The generalized eigenvalue problem for tridiagonal symmetric interval matrices
• Assessing the stability of linear time-invariant continuous interval dynamic systems
• Computing eigenvalue bounds of structures with uncertain‐but‐non‐random parameters by a method based on perturbation theory
• Response analysis of stochastic parameter structures under non-stationary random excitation

This page was built for publication: Computation of bounds for eigenvalues of structures with interval parameters