Numerical computation of a coprime factorization of a transfer function matrix
Systems & Control Letters
The algebraic eigenvalue problem
The algebraic eigenvalue problem
Solution to matrix equation AV + BW = EVF and eigenstructure assignment for descriptor systems
Automatica (Journal of IFAC)
On the solution to the matrix equation TA−FT = LC and its applications
SIAM Journal on Matrix Analysis and Applications
Weighted least squares solutions to general coupled Sylvester matrix equations
Journal of Computational and Applied Mathematics
Gradient based iterative solutions for general linear matrix equations
Computers & Mathematics with Applications
Matrix equations over (R,S)-symmetric and (R,S)-skew symmetric matrices
Computers & Mathematics with Applications
On the reflexive and anti-reflexive solutions of the generalised coupled Sylvester matrix equations
International Journal of Systems Science
Mathematical and Computer Modelling: An International Journal
An efficient algorithm for solving general coupled matrix equations and its application
Mathematical and Computer Modelling: An International Journal
Developing Bi-CG and Bi-CR methods to solve generalized Sylvester-transpose matrix equations
International Journal of Automation and Computing
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This note deals with the problem of solving the generalized Sylvester matrix equation AV - EVF = BW, with F being an arbitrary matrix, and provides complete general parametric expressions for the matrices V and W satisfying this equation. The primary feature of this approach is that the matrix F is firstly transformed into triangular form by Schur decomposition and then unimodular transformation or singular value decomposition are employed. The results can be easily extended to second order case and high order case and can provide great convenience to the computation and analysis of the solutions to this class of equations, and can perform important functions in many analysis and design problems in control systems theory.