Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation

DOI10.1016/j.amc.2009.04.011zbMath1176.15021OpenAlexW2047933617MaRDI QIDQ833132

Gang Feng, Jun-qiang Hu, Ai-guo Wu, Guang-Ren Duan

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.04.011

zbMATH Keywords

closed-form solutiongeneral solutionparametric solutioncontrollability matrixobservability matrixSmith norm formYakubovich-conjugate matrix equation

Mathematics Subject Classification ID

Controllability (93B05) Matrix equations and identities (15A24) Observability (93B07) Canonical forms, reductions, classification (15A21)

Related Items (24)

On the solution of the linear matrix equation \(X = Af(X) B + C\) ⋮ Solutions to the linear transpose matrix equations and their application in control ⋮ Solutions to matrix equations \(X - AXB = CY + R\) and \(X - A\hat{X}B = CY + R\) ⋮ Parametric Solutions to the Generalized Discrete Yakubovich-Transpose Matrix Equation ⋮ Iterative solutions to coupled Sylvester-conjugate matrix equations ⋮ Finite iterative algorithms for the generalized Sylvester-conjugate matrix equation \(AX+BY=E\overline{X}F+S\) ⋮ Closed-form solutions to the nonhomogeneous Yakubovich-transpose matrix equation ⋮ Iterative solutions to the Kalman-Yakubovich-conjugate matrix equation ⋮ Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns ⋮ Finite iterative algorithms for extended Sylvester-conjugate matrix equations ⋮ A shifted complex global Lanczos method and the quasi-minimal residual variant for the Stein-conjugate matrix equation \(X + A \overline{X} B = C\) ⋮ On solutions of the quaternion matrix equation \(AX=B\) and their applications in color image restoration ⋮ On the conjugate product of complex polynomial matrices ⋮ The complete solution to the Sylvester-polynomial-conjugate matrix equations ⋮ On closed-form solutions to the generalized Sylvester-conjugate matrix equation ⋮ Finite iterative algorithms for a common solution to a group of complex matrix equations ⋮ Iterative solutions to coupled Sylvester-transpose matrix equations ⋮ Finite iterative solutions to coupled Sylvester-conjugate matrix equations ⋮ Iterative algorithms for solving a class of complex conjugate and transpose matrix equations ⋮ Iterative solutions to the extended Sylvester-conjugate matrix equations ⋮ Modified conjugate gradient method for obtaining the minimum-norm solution of the generalized coupled Sylvester-conjugate matrix equations ⋮ Least squares solution of the quaternion matrix equation with the least norm ⋮ Iterative methods to solve the generalized coupled Sylvester-conjugate matrix equations for obtaining the centrally symmetric (centrally antisymmetric) matrix solutions ⋮ Finite algorithms for solving the coupled Sylvester-conjugate matrix equations over reflexive and Hermitian reflexive matrices

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