Geodesic
Inverse linear difference operators
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 12, pp. 1933-1945

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For matrices whose elements are scalar linear difference operators, algorithms for checking invertibility (unimodularity) and constructing an inverse matrix (if it exists) are proposed. Their complexity is lower than that of other available algorithms. The differences of these algorithms from their differential analogues are discussed. 
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     author = {S. A. Abramov},
     title = {Inverse linear difference operators},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1933--1945},
     publisher = {mathdoc},
     volume = {57},
     number = {12},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a0/}
}
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S. A. Abramov. Inverse linear difference operators. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 12, pp. 1933-1945. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_12_a0/