Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns

DOI10.1016/j.mcm.2010.06.010zbMath1205.15027OpenAlexW2030452782MaRDI QIDQ623048

Gang Feng, Guang-Ren Duan, Wei-Jun Wu, Ai-guo Wu

Publication date: 13 February 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.06.010

zbMATH Keywords

inner product spacetransposeconjugatefinite iterative algorithmscomplex matrix equations

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (20)

Unnamed Item ⋮ A modified gradient‐based algorithm for solving extended Sylvester‐conjugate matrix equations ⋮ A finite iterative algorithm for solving the complex generalized coupled Sylvester matrix equations by using the linear operators ⋮ A shifted complex global Lanczos method and the quasi-minimal residual variant for the Stein-conjugate matrix equation \(X + A \overline{X} B = C\) ⋮ An iterative algorithm for the least squares generalized reflexive solutions of the matrix equations \(AXB = E\), \(CXD = F\) ⋮ An finite iterative algorithm for sloving periodic Sylvester bimatrix equations ⋮ Finite iterative algorithms for solving generalized coupled Sylvester systems. I: One-sided and generalized coupled Sylvester matrix equations over generalized reflexive solutions ⋮ Finite iterative algorithms for solving generalized coupled Sylvester systems. II: Two-sided and generalized coupled Sylvester matrix equations over reflexive solutions ⋮ An iterative algorithm for the generalized reflexive solutions of the general coupled matrix equations ⋮ Global FOM and GMRES algorithms for a class of complex matrix equations ⋮ Finite iterative solutions to coupled Sylvester-conjugate matrix equations ⋮ An iterative algorithm for the generalized reflexive solutions of the generalized coupled Sylvester matrix equations ⋮ An iterative algorithm for the generalized reflexive solution of the matrix equations \(AXB = E, CXD = F\) ⋮ A Relaxed Gradient Based Algorithm for Solving Extended <scp>S</scp>ylvester‐Conjugate Matrix Equations ⋮ Restarted global FOM and GMRES algorithms for the Stein-like matrix equation \(X + \mathcal{M}(X) = C\) ⋮ Iterative solution to a system of matrix equations ⋮ A global variant of the COCR method for the complex symmetric Sylvester matrix equation \(AX+XB=C\) ⋮ The general coupled linear matrix equations with conjugate and transpose unknowns over the mixed groups of generalized reflexive and anti-reflexive matrices ⋮ Global Hessenberg and CMRH methods for a class of complex matrix equations ⋮ A finite iterative algorithm for Hermitian reflexive and skew-Hermitian solution groups of the general coupled linear matrix equations

Cites Work

• Closed-form solutions to Sylvester-conjugate matrix equations
• Iterative solutions to the extended Sylvester-conjugate matrix equations
• Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation
• Performance analysis of multi-innovation gradient type identification methods
• On solutions of the matrix equations \(XF - AX = C\) and \(XF - A\bar {X} =C\)
• Iterative algorithms for solving the matrix equation \(AXB + CX^{T}D = E\)
• On solutions of matrix equations \(V - AVF = BW\) and \(V-A\bar V F= BW\)
• Gradient based iterative algorithm for solving coupled matrix equations
• On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
• The solution to matrix equation \(AX+X^TC=B\)
• On matrix equations \(X - AXF = C\) and \(X - A\overline{X}F = C\)
• An iterative method for the least squares symmetric solution of matrix equation \(AXB = C\)
• Iterative solutions of the generalized Sylvester matrix equations by using the hierarchical identification principle
• An iterative method for the least squares symmetric solution of the linear matrix equation \(AXB = C\)
• The Matrix Equation $A\bar X - XB = C$ and Its Special Cases
• Hierarchical least squares identification methods for multivariable systems
• Gradient based iterative algorithms for solving a class of matrix equations
• An algebraic relation between consimilarity and similarity of complex matrices and its applications
• Consimilarity of quaternion matrices and complex matrices
• Unnamed Item
• Unnamed Item

This page was built for publication: Finite iterative solutions to a class of complex matrix equations with conjugate and transpose of the unknowns