On closed-form solutions to the generalized Sylvester-conjugate matrix equation

DOI10.1016/j.amc.2012.03.020zbMath1245.15019OpenAlexW2070426587MaRDI QIDQ440954

Fuchun Liu, Enze Zhang, Ai-guo Wu

Publication date: 19 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.03.020

zbMATH Keywords

Smith normal formdegrees of freedomgeneralized Sylvester-conjugate matrix equationcontrollability matrixobservability matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items

On the solution of the linear matrix equation \(X = Af(X) B + C\) ⋮ A system of Sylvester-type quaternion matrix equations with ten variables ⋮ Explicit solutions of conjugate, periodic, time-varying Sylvester equations ⋮ Iterative algorithms for least-squares solutions of a quaternion matrix equation ⋮ An iterative algorithm for generalized Hamiltonian solution of a class of generalized coupled Sylvester-conjugate matrix equations ⋮ A Relaxed Gradient Based Algorithm for Solving Extended <scp>S</scp>ylvester‐Conjugate Matrix Equations ⋮ An iterative algorithm for solving the generalized Sylvester-conjugate matrix equation ⋮ Iterative algorithm for solving a class of general Sylvester-conjugate matrix equation \(\sum_{i=1}^sA_iV+\sum_{j=1}^tB_jW=\sum_{l=1}^mE_l\overline VF_l+C\)

Cites Work

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• Closed-form solutions to Sylvester-conjugate matrix equations
• An algorithm for the computation of the transfer function matrix for singular systems
• Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation
• On solutions of the matrix equations \(XF - AX = C\) and \(XF - A\bar {X} =C\)
• On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\)
• A canonical form for matrices under consimilarity
• Pole assignment via Sylvester's equation
• What is the minimum function observer order?
• On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
• Leverrier's algorithm for singular systems
• Parametric solutions to the generalized discrete Sylvester matrix equation MXN - X = TY and their applications
• Further remarks on the Cayley-Hamilton theorem and Leverrier's method for the matrix pencil&lt;tex&gt;(sE - A)&lt;/tex&gt;
• Eigenstructure assignment in descriptor systems
• A complete analytical solution to the equation&lt;tex&gt;TA - FT = LC&lt;/tex&gt;and its applications
• The Matrix Equation $A\bar X - XB = C$ and Its Special Cases
• Output feedback eigenstructure assignment using two Sylvester equations
• A Parallel Algorithm for the Sylvester Observer Equation
• On the solution to the Sylvester matrix equation AV+BW=EVF
• Solution to Generalized Sylvester Matrix Equations
• A new block algorithm for full-rank solution of the sylvester-observer equation
• Kronecker Maps and Sylvester-Polynomial Matrix Equations
• Solutions of the equation AV+BW=VF and their application to eigenstructure assignment in linear systems
• An algebraic relation between consimilarity and similarity of complex matrices and its applications
• Consimilarity of quaternion matrices and complex matrices

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