A direct method for solving projected generalized continuous-time Sylvester equations

DOI10.1007/s11768-012-0192-xzbMath1274.65123OpenAlexW2401034291MaRDI QIDQ4926033

Liping Zhou, Liang Bao, Yanhua Cao, Yi-Qin Lin

Publication date: 20 June 2013

Published in: Journal of Control Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11768-012-0192-x

zbMATH Keywords

numerical examplesspectral projectiondirect methodmatrix pencilgeneralized Schur factorizationprojected generalized Sylvester equation

Mathematics Subject Classification ID

Related Items (2)

Computational Methods for Linear Matrix Equations ⋮ Iterative algorithm for solving a class of general Sylvester-conjugate matrix equation \(\sum_{i=1}^sA_iV+\sum_{j=1}^tB_jW=\sum_{l=1}^mE_l\overline VF_l+C\)

Uses Software

• LAPACK
• SLICOT

Cites Work

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• Optimization and dynamical systems
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• Error and Perturbation Bounds for Subspaces Associated with Certain Eigenvalue Problems
• A Perturbation Analysis of the Generalized Sylvester Equation $( AR - LB,DR - LE ) = ( C,F )$
• The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part I
• The generalized Schur decomposition of an arbitrary pencil A–λB—robust software with error bounds and applications. Part II
• Matrix Sign Function Methods for Solving Projected Generalized Continuous-Time Sylvester Equations
• Condition Numbers of the Generalized Sylvester Equation
• Recursive blocked algorithms for solving triangular systems—Part I
• Recursive blocked algorithms for solving triangular systems—Part II

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