Improved algorithms for computing determinants and resultants
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Publication:1763424
DOI10.1016/j.jco.2004.03.003zbMath1101.68981OpenAlexW2108888104MaRDI QIDQ1763424
Ioannis Z. Emiris, Pan, Victor Y.
Publication date: 22 February 2005
Published in: Journal of Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jco.2004.03.003
Computer algebraRandomized algorithmsBit complexityMatrix determinantPolynomial system solvingStructured matrix
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Bezout matrices, subresultant polynomials and parameters, Schur aggregation for linear systems and determinants, The shifted number system for fast linear algebra on integer matrices, Computing polynomial univariate representations of zero-dimensional ideals by Gröbner basis, Bernstein-Bezoutian matrices and curve implicitization, Randomized preprocessing versus pivoting, Additive preconditioning and aggregation in matrix computations, Counting solutions of a polynomial system locally and exactly, Sparse difference resultant, Elimination theory in differential and difference algebra, Multilinear polynomial systems: root isolation and bit complexity, Improved algorithms for computing determinants and resultants, Matrix formulæ for resultants and discriminants of bivariate tensor-product polynomials, Rational formulas for traces in zero-dimensional algebras, Sublinear Root Detection and New Hardness Results for Sparse Polynomials over Finite Fields, Sparse differential resultant for Laurent differential polynomials
Uses Software
Cites Work
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