Matrix equations over rings

John Jones

Mathematics and Computers in Simulation (MATCOM), 1983, vol. 25, issue 6, 489-492

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 R=C[z1,z2,…zn] of polynomials in n variables with complex coefficients and the ring R=R[z1,z2,…zn]n 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.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:25:y:1983:i:6:p:489-492

DOI: 10.1016/0378-4754(83)90117-9

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