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- W2065441330 abstract "Given a rectangular matrix F ∈ K[x]mxn with m < n of univariate polynomials over a field K. we give an efficient algorithm for computing a unimodular completion of F. Our algorithm is deterministic and computes such a completion, when it exists, with cost O~ (nωs) field operations from K. Here s is the average of the m largest column degrees of F and ω is the exponent on the cost of matrix multiplication. Here O~ is big-O but with log factors removed. If a unimodular completion does not exist for F, our algorithm computes a unimodular completion for a right cofactor of a column basis of F, or equivalently, computes a completion that preserves the generalized determinant." @default.
- W2065441330 created "2016-06-24" @default.
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- W2065441330 date "2014-01-01" @default.
- W2065441330 modified "2023-09-23" @default.
- W2065441330 title "Unimodular completion of polynomial matrices" @default.
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- W2065441330 doi "https://doi.org/10.1145/2608628.2608640" @default.
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