Construction and nonnegativity of sign idempotent sign pattern matrices (Q636246)

The paper provides a modification of the Eschenbach's algorithm, in order to construct all the sign idempotent sign pattern matrices. Then, gives some distinct classes of sign idempotent sign pattern matrices each of which is signature similar to a nonnegative sign pattern matrix. Finally, an equivalence relation is provided between nonnegative similarity in the sign idempotent sign pattern matrices and nonnegativity of cycles in the sign graph.