Solving multivariate algebraic equation by Hensel construction
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Publication:1301578
DOI10.1007/BF03167329zbMath0941.12002OpenAlexW2041338390MaRDI QIDQ1301578
Publication date: 7 August 2000
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03167329
Newton polygonPuiseux seriesformal power seriesalgebraic computationHensel's constructionroots of multivariate polynomialssymbolic resolution
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Related Items (13)
On the complexity and parallel implementation of Hensel's lemma and Weierstrass preparation ⋮ A study of approximate polynomials. I: Representation and arithmetic ⋮ Analytic continuation and Riemann surface determination of algebraic functions by computer ⋮ Sparse bivariate polynomial factorization ⋮ A new algorithm for computing the extended Hensel construction of multivariate polynomials ⋮ Unnamed Item ⋮ On the extended Hensel construction and its application to the computation of real limit points ⋮ Series-Expansion of Multivariate Algebraic Functions at Singular Points: Nonmonic Case ⋮ Enhancing the Extended Hensel Construction by Using Gröbner Bases ⋮ Computing Puiseux series: a fast divide and conquer algorithm ⋮ Real limit points of quasi-componenets of regular chains ⋮ Computing limits with the regularchains and powerseries libraries ⋮ Approximate eigenvalues, eigenvectors and inverse of a matrix with polynomial entries
Cites Work
- A unified method for multivariate polynomial factorizations
- Approximate factorization of multivariate polynomials and absolute irreducibility testing
- Analytic continuation and Riemann surface determination of algebraic functions by computer
- Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
- All Algebraic Functions Can Be Computed Fast
- Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
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