On estimating the separation between \((A, B)\) and \((C, D)\) associated with the generalized Sylvester equation \(A X D - B X C = E\)

DOI10.1016/j.cam.2017.07.025zbMath1376.65065OpenAlexW2744452050MaRDI QIDQ1675942

Xiao Shan Chen, Peng Lv

Publication date: 3 November 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2017.07.025

zbMATH Keywords

numerical examplesboundsFrobenius normseparationSchur decompositiongeneralized Sylvester equationWeierstrass canonical form

Mathematics Subject Classification ID

Related Items (1)

On estimating the separation associated with the periodic continuous Sylvester equation

Uses Software

• Algorithm 705

Cites Work

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• On estimating the separation of two regular matrix pairs
• A low-rank Krylov squared Smith method for large-scale discrete-time Lyapunov equations
• On estimating the separation of two periodic matrix sequences
• The solution of the matrix equations \(AXB-CXD=E\) and \((YA-DZ,YC- BZ)=(E,F)\)
• Lower bound estimation for the separation of two matrices
• Numerical solution of generalized Lyapunov equations
• On the Separation of Two Matrices
• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• Solution of the Sylvester matrix equation AXB ^T + CXD ^T = E
• Algorithm 705; a FORTRAN-77 software package for solving the Sylvester matrix equation AXB ^T + CXD ^T = E

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