Matrix equations over rings |
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Authors: | John Jones |
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Affiliation: | Air Force Institute of Technology, Dayton, OH 45433, U.S.A. |
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Abstract: | The main purpose of this work is to establish necessary conditions and sufficient conditions for the existence of a solution of matrix equations whose coefficient matrices have elements belonging to the ring of polynomials in n variables with complex coefficients and the ring of rational functions a(z1,z2,…zn)b(z1,z2,…,zn)?1 with real coefficients and b(z1,z2,…,zn)≠0 for all (z1,z2,…,zn) in Rn. Results obtained are useful in multidimensional systems theory and elsewhere. |
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