Structured distance to normality of tridiagonal matrices

DOI10.1016/j.laa.2018.04.023zbMath1392.65085OpenAlexW2801540164MaRDI QIDQ1754439

Natália Bebiano, Susana Furtado

Publication date: 30 May 2018

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2018.04.023

zbMATH Keywords

distanceFrobenius normtridiagonal matrixnormal matrix\(r\)-Toeplitz matrixstructured distance

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Hermitian, skew-Hermitian, and related matrices (15B57) Numerical computation of matrix norms, conditioning, scaling (65F35) Toeplitz, Cauchy, and related matrices (15B05)

Related Items (6)

Approximating the eigenvalues and eigenvectors of birth and death matrices ⋮ Finding the closest normal structured matrix ⋮ A reducing approach for symmetrically sparse banded and anti-banded matrices ⋮ Remarks on anti-tridiagonal matrices ⋮ Computing the closest real normal matrix and normal completion ⋮ An approximate approach to the structured distance to normality of Toeplitz operators

Cites Work

• Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices
• The structured distance to normality of an irreducible real tridiagonal matrix
• The structured distance to normality of banded Toeplitz matrices
• On condition numbers and the distance to the nearest ill-posed problem
• Normal matrices
• On measures of nonnormality of matrices
• Closest normal matrix finally found
• Normal matrices: an update
• Eigenvalues and pseudo-eigenvalues of Toeplitz matrices
• On the closeness of eigenvalues and singular values for almost normal matrices
• The eigenproblem of a tridiagonal 2-Toeplitz matrix
• Semi-analytical solutions for eigenvalue problems of chains and periodic graphs
• Matrix Analysis
• Best Available Bounds for Departure from Normality
• A Practical Upper Bound for Departure from Normality
• Tridiagonal Toeplitz matrices: properties and novel applications
• Unnamed Item
• Unnamed Item

This page was built for publication: Structured distance to normality of tridiagonal matrices