An algorithm to compute the change basis for the rational form of K-endomorphisms.
K. Martín, Juan Manuel Olazábal (1991)
Extracta Mathematicae
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K. Martín, Juan Manuel Olazábal (1991)
Extracta Mathematicae
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Pavla Holasová (1975)
Aplikace matematiky
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Didier Henrion, Jan Ježek, Michael Šebek (2002)
Kybernetika
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Discrete-time symmetric polynomial equations with complex coefficients are studied in the scalar and matrix case. New theoretical results are derived and several algorithms are proposed and evaluated. Polynomial reduction algorithms are first described to study theoretical properties of the equations. Sylvester matrix algorithms are then developed to solve numerically the equations. The algorithms are implemented in the Polynomial Toolbox for Matlab.
Irina Karelin, Leonid Lerer (2001)
International Journal of Applied Mathematics and Computer Science
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It is shown that a certain Bezout operator provides a bijective correspondence between the solutions of the matrix quadratic equation and factorizatons of a certain matrix polynomial (which is a specification of a Popov-type function) into a product of row and column reduced polynomials. Special attention is paid to the symmetric case, i.e. to the Algebraic Riccati Equation. In particular, it is shown that extremal solutions of such equations correspond to spectral factorizations of...
Almkvist, Gert, Krattenthaler, Christian, Petersson, Joakim (2003)
Experimental Mathematics
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Kauers, Manuel (2006)
The Electronic Journal of Combinatorics [electronic only]
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Pan, V.Y. (2004)
Zapiski Nauchnykh Seminarov POMI
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