Outer interval solution of the eigenvalue problem under general form parametric dependencies

DOI10.1007/s11155-006-4875-1zbMath1085.65032OpenAlexW2010403822MaRDI QIDQ811944

Lubomir V. Kolev

Publication date: 23 January 2006

Published in: Reliable Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11155-006-4875-1

zbMATH Keywords

numerical exampleeigenvectorsinterval arithmeticinterval enclosuresparametric eigenvalue

Mathematics Subject Classification ID

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

Related Items (12)

Real eigenvalue bounds of standard and generalized real interval eigenvalue problems ⋮ 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 ⋮ Eigenvalue bounds for symmetric matrices with entries in one interval ⋮ Computing the spectral decomposition of interval matrices and a study on interval matrix powers ⋮ Determining the positive definiteness margin of interval matrices ⋮ Complexity issues for the symmetric interval eigenvalue problem ⋮ Linear interval parametric approach to testing pseudoconvexity ⋮ Determining the range of real eigenvalues for the interval generalized eigenvalue problem ⋮ Eigenvalue range determination for interval and parametric matrices ⋮ Determinants of Interval Matrices

Uses Software

• INTLAB

Cites Work

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• On interval enclosures using slope arithmetic
• Guaranteed inclusions for the complex generalized eigenproblem
• The calculation of guaranteed bounds for eigenvalues using complementary variational principles
• Use of interval slopes for the irrational part of factorable functions
• On eigenvector bounds
• A combined method for enclosing all solutions of nonlinear systems of polynomial equations
• Interval Slopes for Rational Functions and Associated Centered Forms
• The Interval Eigenvalue Problem
• The maximal eigenvalue and stability of a class of real symmetric interval matrices
• Eigenvalues of tridiagonal symmetric interval matrices
• Assessing the stability of linear time-invariant continuous interval dynamic systems
• Automatic computation of a linear interval enclosure

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