Iterative algorithms for solving a class of complex conjugate and transpose matrix equations
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Publication:545983
DOI10.1016/j.amc.2011.02.113zbMath1222.65041OpenAlexW2057356404MaRDI QIDQ545983
Lingling Lv, Guang-Ren Duan, Ai-guo Wu
Publication date: 24 June 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.113
convergenceiterative algorithmreal representation2-normcomplex conjugate and transpose matrix equationsnormal Sylvester-conjugate matrix equationsreal matrix equation
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Cites Work
- Unnamed Item
- Iterative solutions to coupled Sylvester-conjugate matrix equations
- Closed-form solutions to Sylvester-conjugate matrix equations
- Gradient based and least squares based iterative algorithms for matrix equations \(AXB + CX^{T}D = F\)
- Iterative solutions to the extended Sylvester-conjugate matrix equations
- Iterative solutions to matrix equations of the form \(A_{i}XB_{i}=F_{i}\)
- Closed-form solutions to the nonhomogeneous Yakubovich-conjugate matrix equation
- 2-norm based recursive design of transmultiplexers with designable filter length
- On solutions of the matrix equations \(XF - AX = C\) and \(XF - A\bar {X} =C\)
- Gradient based iterative solutions for general linear matrix equations
- Convergence of stochastic gradient estimation algorithm for multivariable ARX-like systems
- Reconstruction of continuous-time systems from their non-uniformly sampled discrete-time systems
- Gradient based iterative algorithm for solving coupled matrix equations
- The residual based interactive stochastic gradient algorithms for controlled moving average models
- Multi-innovation stochastic gradient algorithm for multiple-input single-output systems using the auxiliary model
- Hierarchical gradient-based identification of multivariable discrete-time systems
- On solutions of the matrix equations \(X\)-\(AXB\)=\(C\) and \(A{\overline{X}}B\)=\(C\)
- Multi-innovation extended stochastic gradient algorithm and its performance analysis
- 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
- Iterative least-squares solutions of coupled sylvester matrix equations
- An iterative method for the least squares symmetric solution of the linear matrix equation \(AXB = C\)
- Least-squares parameter estimation for systems with irregularly missing data
- On Iterative Solutions of General Coupled Matrix Equations
- The Matrix Equation $A\bar X - XB = C$ and Its Special Cases
- Hierarchical identification of lifted state-space models for general dual-rate systems
- 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
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