A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory

DOI10.1137/S0895479898349586zbMath0964.15018OpenAlexW2067670503MaRDI QIDQ4702278

Ren-Cang Li

Publication date: 24 November 1999

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

Full work available at URL: https://doi.org/10.1137/s0895479898349586

zbMATH Keywords

eigenspaceunitarily invariant normHermitian eigenvalue problemrelative perturbation theorystructured Sylvester equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (10)

Constraint generalized Sylvester matrix equations ⋮ Solving and algorithm to system of quaternion Sylvester-type matrix equations with \(\ast\)-Hermicity ⋮ A constraint system of generalized Sylvester quaternion matrix equations ⋮ Compact formula for skew-symmetric system of matrix equations ⋮ The rotation of eigenspaces of perturbed matrix pairs ⋮ Relative perturbation theory for quadratic Hermitian eigenvalue problems ⋮ Least-norm of the general solution to some system of quaternion matrix equations and its determinantal representations ⋮ Relative perturbation theory. IV: \(\sin 2\theta\) theorems ⋮ Numerical solutions for coupled trapezoidal fully fuzzy Sylvester matrix equations ⋮ Determinantal representations of solutions to systems of two-sided quaternion matrix equations

This page was built for publication: A Bound on the Solution to a Structured Sylvester Equation with an Application to Relative Perturbation Theory