Solving the generalized Sylvester matrix equation \(AV+BW=EVF\) via a Kronecker map

DOI10.1016/j.aml.2007.12.004zbMath1221.65109OpenAlexW2023403653MaRDI QIDQ952727

Guang-Ren Duan, Ying Zhang, Feng Zhu, Ai-guo Wu

Publication date: 14 November 2008

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.12.004

zbMATH Keywords

generalized Sylvester matrix equationparametric solutionsKronecker mapSylvester sum

Mathematics Subject Classification ID

Related Items (10)

Solutions of the generalized Sylvester matrix equation and the application in eigenstructure assignment ⋮ On Hermitian solutions of the split quaternion matrix equation \(AXB+CXD=E\) ⋮ Direct methods onη‐Hermitian solutions of the split quaternion matrix equation (AXB,CXD)=(E,F) ⋮ On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration ⋮ Cramer's rules for Sylvester quaternion matrix equation and its special cases ⋮ Explicit and Iterative Methods for Solving the Matrix EquationAV + BW = EVF + C ⋮ On Hermitian solutions of the reduced biquaternion matrix equation (AXB,CXD) = (E,G) ⋮ Least squares solution of the quaternion matrix equation with the least norm ⋮ Real-time covariance estimation for the local level model ⋮ Least squares pure imaginary solution and real solution of the quaternion matrix equation \(A X B + C X D = E\) with the least norm

Cites Work

• Fault diagnosis in dynamic systems using analytical and knowledge-based redundancy - a survey and some new results
• Arnoldi methods for large Sylvester-like observer matrix equations, and an associated algorithm for partial spectrum assignment
• Pole assignment via Sylvester's equation
• The explicit solutions and solvability of linear matrix equations
• Control of linear systems with regulation and input constraints
• Robust pole assignment in linear state feedback
• Eigenstructure assignment in descriptor systems
• A complete analytical solution to the equation<tex>TA - FT = LC</tex>and its applications
• Eigenstructure assignment and response analysis in descriptor linear systems with state feedback control
• On the solution of large Sylvester‐observer equations
• On the solution to the Sylvester matrix equation AV+BW=EVF
• A new block algorithm for full-rank solution of the sylvester-observer equation

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