An approximate method for the standard interval eigenvalue problem of real non-symmetric interval matrices

DOI10.1002/cnm.401zbMath0991.65040OpenAlexW1979800710MaRDI QIDQ2721527

Andreas Frommer, Peter C. Müller, Zhi-Ping Qiu

Publication date: 4 September 2002

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.401

zbMATH Keywords

numerical examplesinterval analysisinterval matricesinterval perturbation methodautomobile suspension systeminterval eigenvalue problem

Mathematics Subject Classification ID

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

Related Items (7)

Real eigenvalue bounds of standard and generalized real interval eigenvalue problems ⋮ A filtering method for the interval eigenvalue problem ⋮ An algorithm for addressing the real interval eigenvalue problem ⋮ Characterizing and approximating eigenvalue sets of symmetric interval matrices ⋮ Computing the spectral decomposition of interval matrices and a study on interval matrix powers ⋮ An inequality model for solving interval dynamic response of structures with uncertain-but-bounded parameters ⋮ Balanced-based model reduction of uncertain systems with interval parameters

Cites Work

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• Natural frequencies of structures with uncertain but nonrandom parameters
• Root-locus approach to the stability analysis of interval matrices
• Stability analysis of interval matrices—continuous and discrete systems
• Analysis of Uncertain Structural Systems Using Interval Analysis
• Ein Eigenwertproblem für Intervall‐Matrizen
• A new method for computing the upper and lower bounds on frequencies of structures with interval parameters

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