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Symmetric matrix polynomial equations
Kybernetika, 1986The 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.
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Applied Mathematics and Computation, 2006
Mohamed A. Ramadan, Naglaa M. El-Shazly
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Mohamed A. Ramadan, Naglaa M. El-Shazly
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Explicit solutions of the Yang–Baxter-like matrix equation for an idempotent matrix
Applied Mathematics Letters, 2017Qianglian Huang, Jiu Ding
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On solutions of matrix equation AXB + CYD = F
Linear Algebra and Its Applications, 1998Musheng Wei
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The generalized quaternion matrix equation AXB+CX⋆D=E
Mathematical Methods in the Applied Sciences, 2020Xin Liu
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Solving the Matrix Differential Riccati Equation: A Lyapunov Equation Approach
IEEE Transactions on Automatic Control, 2010Thang Nguyen, Z Gajić
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