In this work, the potentially eventually positive double star sign patterns are characterized. It is shown that, up to equivalence, an (m + n) Ã— (m + n) double star sign pattern is potentiallyâ€¦ (More)

If there exists a nonempty, proper subset S of the set of all (n + 1)(n + 2)/2 inertias such that S âŠ† i(A) is sufficient for any nÃ—n zero-nonzero pattern A to be inertially arbitrary, then S isâ€¦ (More)

A sign pattern is a matrix whose entries belong to the set {+,âˆ’, 0}. An n-by-n sign pattern A is said to allow an eventually positive matrix if there exist some real matrices A with the same signâ€¦ (More)

If there exists a nonempty, proper subset S of the set of all (n + 1)(n + 2)/2 inertias such that S âŠ† i(A) is sufficient for any n Ã— n zero-nonzero pattern A to be inertially arbitrary, then S isâ€¦ (More)

In this note, some properties of potentially powerpositive sign patterns are established, and all the potentially powerpositive sign patterns of order â‰¤ 3 are classified completely. Keywordsâ€”Signâ€¦ (More)