Contour integral solutions of Sylvester-type matrix equations

DOI10.1016/j.laa.2015.12.027zbMath1329.15043OpenAlexW2224590213MaRDI QIDQ905742

Harald K. Wimmer

Publication date: 28 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.12.027

zbMATH Keywords

contour integralsmatrix pencilsgeneralized Sylvester equation\(\ast\)-Stein equation\(\ast\)-Sylvester equation

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Functional calculus for linear operators (47A60) Matrix pencils (15A22)

Related Items (4)

Output regulation control for switched stochastic delay systems with dissipative property under error-dependent switching ⋮ The equivalence canonical form of five quaternion matrices with applications to imaging and Sylvester-type equations ⋮ A Numerical Approach To Generalized Periodic Sylvester Matrix Equation ⋮ An iterative algorithm for robust simulation of the Sylvester matrix differential equations

Cites Work

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• The solution of the matrix equations \(AXB-CXD=E\) and \((YA-DZ,YC- BZ)=(E,F)\)
• Explicit solution of the matrix equation \(AXB-CXD=E\)
• A note on the \(\top\)-Stein matrix equation
• Structured Condition Numbers for Invariant Subspaces
• Lyapunov-like equations and reachability/observabiliy Gramians for descriptor systems
• Methods for the solution ofAXD−BXC=E and its application in the numerical solution of implicit ordinary differential equations
• The Matrix Equation $AXB + CXD = E$

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