An algorithm for addressing the real interval eigenvalue problem

DOI10.1016/j.cam.2010.11.022zbMath1209.65044OpenAlexW2160060073MaRDI QIDQ629549

David Daney, Milan Hladík, Elias P. Tsigaridas

Publication date: 9 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.11.022

zbMATH Keywords

regularitynumerical examplesinterval analysissubdivision algorithminterval matrixeigenvalue boundsreal eigenvalue

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 (5)

Recursive solution of initial value problems with temporal discretization ⋮ The interval eigenvalue problem using constraint interval analysis with an application to linear differential equations ⋮ Sufficient regularity conditions for complex interval matrices and approximations of eigenvalues sets ⋮ A filtering method for the interval eigenvalue problem ⋮ Characterizing and approximating eigenvalue sets of symmetric interval matrices

Uses Software

• GLPK
• ISOLATE

Cites Work

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• An approximate method for the standard interval eigenvalue problem of real non-symmetric interval matrices
• Comments on ‘ A necessary and sufficient condition for the stability of interval matrices ’†
• The Interval Eigenvalue Problem
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• Sufficient Conditions for Regularity and Singularity of Interval Matrices
• An Algorithm for Checking Regularity of Interval Matrices
• Interval analysis of vibrating systems
• Numerical Polynomial Algebra
• Real Algebraic Numbers: Complexity Analysis and Experimentation
• Computer Algebra in Scientific Computing
• Linear Optimization Problems with Inexact Data

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