When the sign pattern of a square matrix determines uniquely the sign pattern of its inverse
From MaRDI portal
Publication:1120593
DOI10.1016/0024-3795(89)90066-9zbMath0673.05067OpenAlexW2036127101MaRDI QIDQ1120593
Publication date: 1989
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0024-3795(89)90066-9
Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Directed graphs (digraphs), tournaments (05C20)
Related Items (19)
The Moore-Penrose inverse of matrices with an acyclic bipartite graph ⋮ The solution of a problem on matrices having signed generalized inverses ⋮ Full sign-invertibility and symplectic matrices ⋮ On the nonsingularity of matrices with certain sign patterns ⋮ On the inverse of some sign matrices and on the moments sliding vector field on the intersection of several manifolds: nodally attractive case ⋮ Strong forms of nonsingularity ⋮ Robust economic models ⋮ Sign properties of Metzler matrices with applications ⋮ Inverse closed ray-nonsingular cones of matrices ⋮ Sign determinancy in \(LU\) factorization of \(P\)-matrices ⋮ \(S\)-inverse matrices ⋮ On digraphs and forbidden configurations of strong sign nonsingular matrices ⋮ On maximal sign-nonsingular matrices ⋮ On the digraphs of sign solvable linear systems ⋮ Characterizations of some classes of strong sign nonsingular digraphs ⋮ On block triangular matrices with signed Drazin inverse ⋮ Algebraic constructions of the minimal forbidden digraphs of strong sign nonsingular matrices ⋮ Matrices with signed generalized inverses ⋮ The S\(^2\)NS digraphs and the cycle linear system of a digraph
Cites Work
This page was built for publication: When the sign pattern of a square matrix determines uniquely the sign pattern of its inverse
