Balancing Regular Matrix Pencils

DOI10.1137/S0895479804440931zbMath1114.15008OpenAlexW2117948699MaRDI QIDQ5470533

D. Lemonnier, Paul Van Dooren

Publication date: 31 May 2006

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

Full work available at URL: https://doi.org/10.1137/s0895479804440931

zbMATH Keywords

numerical examplesgeneralized eigenvaluesscalingnormal pencils

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12) Matrix pencils (15A22)

Related Items

Backward Error of Polynomial Eigenvalue Problems Solved by Linearization of Lagrange Interpolants ⋮ Diagonal Scalings for the Eigenstructure of Arbitrary Pencils ⋮ Palindromic quadratization and structure-preserving algorithm for palindromic matrix polynomials of even degree ⋮ Stability of rootfinding for barycentric Lagrange interpolants ⋮ Implicit QR for companion-like pencils ⋮ Hermite matrix in Lagrange basis for scaling static output feedback polynomial matrix inequalities ⋮ On the conditioning for heavily damped quadratic eigenvalue problem solved by linearizations

Uses Software

• Matlab

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