Structured Hölder Condition Numbers for Multiple Eigenvalues

DOI10.1137/060672893zbMath1269.65035OpenAlexW2101666264MaRDI QIDQ5190224

Daniel Kressner, Julio Moro, María José Peláez

Publication date: 15 March 2010

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

Full work available at URL: http://infoscience.epfl.ch/record/165585

zbMATH Keywords

sensitivitygeneralized eigenvalue problemHamiltonian matricesmultiple eigenvalueToeplitz matricesHankel matricesspectral condition numbermatrix pencilsstructured matricespalindromic pencilsmatrix polynomial eigenvalue problemHölder condition number

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Conditioning of matrices (15A12) Matrix pencils (15A22) Toeplitz, Cauchy, and related matrices (15B05)

Related Items

Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems ⋮ First order spectral perturbation theory of square singular matrix polynomials ⋮ On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem ⋮ A comparison of eigenvalue condition numbers for matrix polynomials ⋮ First order structured perturbation theory for multiple zero eigenvalues of skew-adjoint matrices ⋮ Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices ⋮ On the computation of structured singular values and pseudospectra ⋮ On condition numbers of polynomial eigenvalue problems ⋮ Structured eigenvalue condition numbers and linearizations for matrix polynomials ⋮ Conditioning and backward errors of eigenvalues of homogeneous matrix polynomials under Möbius transformations ⋮ Implicit QR algorithms for palindromic and even eigenvalue problems ⋮ On Multiple Eigenvalues of a Matrix Dependent on a Parameter ⋮ Structured Eigenvalue Backward Errors of Matrix Pencils and Polynomials with Palindromic Structures

This page was built for publication: Structured Hölder Condition Numbers for Multiple Eigenvalues