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Solving Matrix Polynomial Equations
Cybernetics and Systems AnalysisMatrix equations and systems of matrix equations are widely used in problems of optimization of control systems, in mathematical economics. However, methods for solving them are developed only for the most popular matrix equations – the Riccati and Lyapunov equations, and there is no universal approach to solving problems of this class.
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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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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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Kruppa's Equations Derived From the Fundamental Matrix
IEEE Transactions on Pattern Analysis and Machine Intelligence, 1997R I Hartley
exaly
Observability of Boolean Networks via Matrix Equations
Automatica, 2020Jun-E Feng, Yongyuan Yu
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A Technique for Solving the Extended Liapunov Matrix Equation
Proceedings of the IEEE, 1971J A Heinen
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