Inverse Linear Difference Operators


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Abstract

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.

About the authors

S. A. Abramov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control”

Author for correspondence.
Email: sergeyabramov@mail.ru
Russian Federation, Moscow, 119333

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