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- W2016801156 abstract "We present a Las Vegas probabilistic algorithm for reducing the computation of Hermite normal forms of rectangular polynomial matrices. In particular, the problem of computing the Hermite normal form of a rectangular m x n matrix (with m > n) reduces to that of computing the Hermite normal form of a matrix of size (n + 1) x n having entries of similar coefficient size and degree. The main cost of the reduction is the same as the cost of fraction-free Gaussian elimination of an m x n polynomial matrix. As an application, the reduction allows for the efficient computation of one-sided GCD’S of two matrix polynomials along with the solution of the matrix diophantine equation associated to such a GCD." @default.
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- W2016801156 date "1995-01-01" @default.
- W2016801156 modified "2023-09-25" @default.
- W2016801156 title "Preconditioning of rectangular polynomial matrices for efficient Hermite normal form computation" @default.
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- W2016801156 doi "https://doi.org/10.1145/220346.220362" @default.
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