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Symmetric matrix polynomial equations

Kybernetika, 1986
The following matrix polynomial equation is studied (1) \(A^*X+X^*A=2B\), where A,B,X are real \(n\times n\) matrix polynomials, and \(A^*(s)=A(-s)\). Here A and B are given and X is unknown. It is assumed that A is stable, i.e. det A has no zeros in the closed right half-plane, and that \(XA^{-1}\) is proper.
openaire   +2 more sources

On the matrix equation

Applied Mathematics and Computation, 2006
Mohamed A. Ramadan, Naglaa M. El-Shazly
openaire   +1 more source

Explicit solutions of the Yang–Baxter-like matrix equation for an idempotent matrix

Applied Mathematics Letters, 2017
Qianglian Huang, Jiu Ding
exaly  

Matrix equations

1985
P. C. Müller, W. O. Schiehlen
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On solutions of matrix equation AXB + CYD = F

Linear Algebra and Its Applications, 1998
Musheng Wei
exaly  

The generalized quaternion matrix equation AXB+CX⋆D=E

Mathematical Methods in the Applied Sciences, 2020
Xin Liu
exaly  

Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach

IEEE Transactions on Automatic Control, 2010
Thang Nguyen, Z Gajić
exaly  

A Matrix Equation

Econometric Theory, 1990
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