scientific article; zbMATH DE number 1263378
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Publication:4234262
zbMath0978.65502MaRDI QIDQ4234262
Publication date: 29 January 2002
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Computational methods for sparse matrices (65F50) Symbolic computation and algebraic computation (68W30) Parallel numerical computation (65Y05)
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Computing the determinant of a matrix with polynomial entries by approximation ⋮ The shifted number system for fast linear algebra on integer matrices ⋮ On the extension of Sarrus' rule to \(n \times n\) (\(n > 3\)) matrices: development of new method for the computation of the determinant of \(4 \times 4\) matrix ⋮ Fast, deterministic computation of the Hermite normal form and determinant of a polynomial matrix ⋮ Non-commutative Edmonds' problem and matrix semi-invariants ⋮ Directed evaluation ⋮ On the complexity of inverting integer and polynomial matrices ⋮ Computing the sign or the value of the determinant of an integer matrix, a complexity survey. ⋮ Relaxed Hensel lifting of triangular sets ⋮ Kaltofen's division-free determinant algorithm differentiated for matrix adjoint computation ⋮ Essentially optimal computation of the inverse of generic polynomial matrices ⋮ An effective algorithm of computing symbolic determinants with multivariate polynomial entries ⋮ An effective hybrid algorithm for computing symbolic determinants
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