An evolution strategy method for computing eigenvalue bounds of interval matrices

DOI10.1016/j.amc.2007.05.051zbMath1133.65021OpenAlexW2073681598MaRDI QIDQ2474881

Quan Yuan, Zhiqing He, Hui-nan Leng

Publication date: 6 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.05.051

zbMATH Keywords

numerical examplesinterval matrixeigenvalue boundsconvergence in probabilityevolution strategy

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Interval and finite arithmetic (65G30)

Related Items (8)

A property of eigenvalue bounds for a class of symmetric tridiagonal interval matrices ⋮ New sufficient conditions for robust stability analysis of interval matrices ⋮ A filtering method for the interval eigenvalue problem ⋮ An interval Kalman filtering with minimal conservatism ⋮ Novel estimations for the eigenvalue bounds of complex interval matrices ⋮ Characterizing and approximating eigenvalue sets of symmetric interval matrices ⋮ Complexity issues for the symmetric interval eigenvalue problem ⋮ Computation of bounds for eigenvalues of structures with interval parameters

Uses Software

• Genocop

Cites Work

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• Solution theorems for the standard eigenvalue problem of structures with uncertain-but-bounded parameters
• Robust control for linear systems with structured state space uncertainty
• Robustness of discrete systems under structured uncertainties
• The Rayleigh quotient iteration method for computing eigenvalue bounds of structures with bounded uncertain parameters
• Interval analysis of vibrating systems
• Stability of a Hurwitz polynomial under coefficient perturbations: necessary and sufficient conditions
• Convergence property of interval matrices and interval polynomials
• Stability of interval parameter matrices
• A new method for computing the upper and lower bounds on frequencies of structures with interval parameters

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