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Relationship between S-and σ-inverse for some class of nonsquare matrices – an initial study

In this paper the new results concerning the relations between nonunique right/left inverses of nonsquare polynomial matrices are presented. A particular attention is focused on the relationship between the S - and σ-inverse both having the arbitrary so-called degrees of freedom. The proposed approaches allow to obtain essential analytical formulas, which constitute the starting point for further research effort.