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- W2104259080 abstract "For an n -by- n P -matrix A = [ a ij ] having LU factorization A = LU with U = [ u ij ], we determine combinatorial circumstances for which u ij is unambiguously signed for a given pair i ≤ j , or all such pairs, and give corresponding results for L . A qualitative P -matrix is a sign nonsingular matrix with all diagonal entries positive. For such a matrix A , we give additional sufficient conditions for an entry u ij or the matrix U to be unambiguous. If A is a qualitative P -matrix with A −1 unambiguously signed, we prove that the matrices L , U , L −1 , and U −1 are all unambiguous." @default.
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- W2104259080 date "1995-03-01" @default.
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- W2104259080 title "Sign determinancy in LU factorization of P-matrices" @default.
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- W2104259080 doi "https://doi.org/10.1016/0024-3795(94)00061-h" @default.
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