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- W2012150951 abstract "A square real matrix A is called a strong sign nonsingular matrix (or S 2 NS matrix) if all the matrices with the same sign pattern as A are nonsingular and all the inverses of these matrices have the same sign pattern. The digraphs associated with S 2 NS matrices are called S 2 NS digraphs. In this paper, we give necessary and sufficient conditions in terms of the forbidden subdigraphs for some classes of digraphs to be S 2 NS digraphs. These classes of digraphs are generalizations of the classes of digraphs studied in Brualdi and Shader (Matrices of sign-solvable linear system, Cambridge University Press, Cambridge, 1995) and Shao (Linear Algebra Appl. 282 (1998) 221–232)." @default.
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- W2012150951 date "2000-10-01" @default.
- W2012150951 modified "2023-10-14" @default.
- W2012150951 title "Characterizations of some classes of strong sign nonsingular digraphs" @default.
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- W2012150951 doi "https://doi.org/10.1016/s0166-218x(00)00182-7" @default.
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