Interval Matrices: Singularity and Real Eigenvalues

DOI10.1137/0614007zbMath0769.15004OpenAlexW2092044838MaRDI QIDQ4033817

Jiří Rohn

Publication date: 16 May 1993

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0614007

zbMATH Keywords

stabilityeigenvaluessingular matrixinterval matrix

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (18)

Solving tensor absolute value equation ⋮ Regularity radius and real eigenvalue range ⋮ Direct methods for linear systems with inexact input data ⋮ Real eigenvalue bounds of standard and generalized real interval eigenvalue problems ⋮ Interval Linear Algebra and Computational Complexity ⋮ Inverse of a fuzzy matrix of fuzzy numbers ⋮ Principal component analysis on interval data ⋮ Sufficient regularity conditions for complex interval matrices and approximations of eigenvalues sets ⋮ 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 ⋮ A theorem of the alternatives for the equationAx+B|x| =b ⋮ Upper (lower) bounds of the eigenvalues, spread and the open problems for the real symmetric interval matrices ⋮ Complexity issues for the symmetric interval eigenvalue problem ⋮ Principal component analysis for interval‐valued observations ⋮ Modified HS conjugate gradient method for solving generalized absolute value equations ⋮ Eigenvectors of interval matrices over max--plus algebra

This page was built for publication: Interval Matrices: Singularity and Real Eigenvalues