n-D polynomial matrix equations |
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Authors: | Sebek M |
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Affiliation: | Inst. of Inf. Theory & Autom., Czechoslovak Acad. of Sci., Prague; |
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Abstract: | Linear matrix equations in the ring of polynomials in n indeterminates (n-D) are studied. General- and minimum-degree solutions are discussed. Simple and constructive, necessary and sufficient solvability conditions are derived. An algorithm to solve the equations with general n-D polynomial matrices is presented. It is based on elementary reductions in a greater ring of polynomials in one indeterminate, having as coefficients polynomial fractions in the other n-1 indeterminates, which makes the use of Euclidean division possible |
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