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Solution of the determinantal assignment problem using the Grassmann matrices

Solution of the determinantal assignment problem using the Grassmann matrices

The paper provides a direct solution to the determinantal assignment problem (DAP) which unifies all frequency assignment problems of the linear control theory. The current approach is based on the solvability of the exterior equation v_1āˆ§v_2āˆ§...āˆ§v_m=z_, where z_āˆˆāˆ§mU,v_iāˆˆU,U is an n āˆ’dimensional vector space over F which is an integral ā€¦