Simultaneous elimination by using several tools from real algebraic geometry
DOI10.1006/jsco.1998.0268zbMath0952.14043OpenAlexW2152080657MaRDI QIDQ1808663
Laureano Gonzalez-Vega, Neila Gonzalez-Campos
Publication date: 10 January 2001
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jsco.1998.0268
computer aided geometric designeliminationreal algebraic geometrygreatest common divisor of polynomialsHermite's method
Symbolic computation and algebraic computation (68W30) Computer science aspects of computer-aided design (68U07) Numerical computation of solutions to systems of equations (65H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Real algebraic and real-analytic geometry (14P99)
Related Items (3)
Cites Work
- Multidimensional analogues of Newton's formulas for systems of nonlinear algebraic equations and some of their applications
- Inertia characteristics of self-adjoint matrix polynomials
- Solutions of systems of algebraic equations and linear maps on residue class rings
- Radical computations of zero-dimensional ideals and real root counting.
- An elementary proof of Barnett's theorem about the greatest common divisor of several univariate polynomials
- On the combinatorial and algebraic complexity of quantifier elimination
- On the complexity of computing the greatest common divisor of several univariate polynomials
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