The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
On Computing the Exact Determinant of Matrices with Polynomial Entries
Journal of the ACM (JACM)
The Algebraic Solution of Sparse Linear Systems via Minor Expansion
ACM Transactions on Mathematical Software (TOMS)
Analysis of algorithms, a case study: Determinants of polynomials
STOC '73 Proceedings of the fifth annual ACM symposium on Theory of computing
The definition and use of data structures in REDUCE
SYMSAC '76 Proceedings of the third ACM symposium on Symbolic and algebraic computation
Efficient Gaussian Elimination Method for Symbolic Determinants and Linear Systems
ACM Transactions on Mathematical Software (TOMS)
SYMSAC '81 Proceedings of the fourth ACM symposium on Symbolic and algebraic computation
IEEE Transactions on Computers
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An improved algorithm for computing the minors of a (large) sparse matrix of polynomials is described, with emphasis on efficiency and optimal ordering. A possible application to polynomial resultant computation is discussed.