Bivariate polynomial reduction and elimination ideal over finite fields
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Publication:6615408
DOI10.1016/j.jsc.2024.102367zbMATH Open1547.68871MaRDI QIDQ6615408
Publication date: 8 October 2024
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Number-theoretic algorithms; complexity (11Y16)
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- Modular composition modulo triangular sets and applications
- Discrete logarithms in \(\mathrm{GF}(p)\)
- Gröbner bases and primary decomposition of polynomial ideals
- Displacement ranks of matrices and linear equations
- Fast projection methods for minimal design problems in linear system theory
- Résolution des systèmes d'équations algébriques
- Exact solution of linear equations using p-adic expansions
- Solving zero-dimensional algebraic systems
- Inversion components of block Hankel-like matrices
- Solving zero-dimensional systems through the rational univariate representation
- Fast parallel algorithms for matrix reduction to normal forms
- Fast algorithms for zero-dimensional polynomial systems using duality
- Challenges of symbolic computation: My favorite open problems. With an additional open problem by Robert M. Corless and David J. Jeffrey
- Efficient computation of dual space and directional multiplicity of an isolated point
- Sparse FGLM algorithms
- On the complexity of the Lickteig-Roy subresultant algorithm
- Ideal basis and primary decompositions: case of two variables
- A new polynomial factorization algorithm and its implementation
- Multivariate polynomials, duality, and structured matrices
- Fast computation of generic bivariate resultants
- Lexicographic Gröbner bases of bivariate polynomials modulo a univariate one
- Fast Gröbner basis computation and polynomial reduction for generic bivariate ideals
- Fast multivariate multi-point evaluation revisited
- Fast computation of special resultants
- On the complexity exponent of polynomial system solving
- Change of order for bivariate triangular sets
- On the complexity of solving bivariate systems
- Fast Polynomial Factorization and Modular Composition
- Inter-reciprocity applied to electrical networks
- Sub-cubic change of ordering for Gröbner basis
- Solving sparse linear equations over finite fields
- Fast Algorithms for Manipulating Formal Power Series
- Modern computer algebra
- A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants
- Subquadratic-time factoring of polynomials over finite fields
- On the Complexity of Multivariate Polynomial Division
- Using Algebraic Geometry
- Fast Reduction of Bivariate Polynomials with Respect to Sufficiently Regular Gröbner Bases
- On Computing the Resultant of Generic Bivariate Polynomials
- Change of Basis for m-primary Ideals in One and Two Variables
- Fast algorithm for change of ordering of zero-dimensional Gröbner bases with sparse multiplication matrices
- Fast construction of irreducible polynomials over finite fields
- Fast construction of irreducible polynomials over finite fields
- Subresultants and the Shape Lemma
- p-adic algorithm for bivariate Gröbner bases
- Elimination ideal and bivariate resultant over finite fields
- High-order lifting for polynomial Sylvester matrices
- Newton iteration for lexicographic Gr\"obner bases in two variables
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