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Solving Matrix Polynomial Equations

Cybernetics and Systems Analysis
Matrix 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.
openaire   +1 more source

On the matrix equation

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

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

Kruppa's Equations Derived From the Fundamental Matrix

IEEE Transactions on Pattern Analysis and Machine Intelligence, 1997
R I Hartley
exaly  

Computational Methods for Linear Matrix Equations

SIAM Review, 2016
Valeria Simoncini
exaly  

Observability of Boolean Networks via Matrix Equations

Automatica, 2020
Jun-E Feng, Yongyuan Yu
exaly  

A Technique for Solving the Extended Liapunov Matrix Equation

Proceedings of the IEEE, 1971
J A Heinen
exaly  

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