The multiplicative matrix commutator equation (A,X)=B
Cain, Bryan E., Zaballa, Ion (1992)
Portugaliae mathematica
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Displaying similar documents to “An additive inverse characteristic polynomial theorem”
The multiplicative matrix commutator equation (A,X)=B
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In this paper, we present a simple algorithm for the reduction of a given bivariate polynomial matrix to a pencil form which is encountered in Fornasini-Marchesini's type of singular systems. It is shown that the resulting matrix pencil is related to the original polynomial matrix by the transformation of zero coprime equivalence. The exact form of both the matrix pencil and the transformation connecting it to the original matrix are established.
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A new form of the coprime polynomial fraction of a transfer function matrix is presented where the polynomial matrices and have the form of a matrix (or generalized matrix) polynomials with the structure defined directly by the controllability characteristics of a state- space model and Markov matrices , , ...
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