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Solving multivariate algebraic equation by Hensel construction
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/978-3-7091-7551-4_10openalex-snapshot
Computing by Homomorphic Images
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Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
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Approximate factorization of multivariate polynomials and absolute irreducibility testing
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A unified method for multivariate polynomial factorizations
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Analytic continuation and Riemann surface determination of algebraic functions by computer
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Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
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Statement of priority: “Iteration methods for finding all zeros of a polynomial simultaneously” (Math. Comp. 27 (1973), 339–344) by Oliver Aberth
inferredcites →https://doi.org/10.1145/322063.322068openalex-snapshot
All Algebraic Functions Can Be Computed Fast
inferredcites →https://doi.org/10.26035/epfl-plume-2148openalex-snapshot
Recherches sur les fonctions algébriques
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Detecting Singularities Using the PowerSeries Library
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Power Series Arithmetic with the BPAS Library
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On the Complexity and Parallel Implementation of Hensel’s Lemma and Weierstrass Preparation
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Towards Industrial Application of Approximate Computer Algebra
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Enhancing the Extended Hensel Construction by Using Gröbner Bases
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A Unified Algorithm for Multivariate Analytic Factorization
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Series-Expansion of Multivariate Algebraic Functions at Singular Points: Nonmonic Case
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A New Algorithm for Computing the Extended Hensel Construction of Multivariate Polynomials
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Sparse bivariate polynomial factorization
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On the Extended Hensel Construction and its application to the computation of real limit points
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Manifold unwrapping using critical surfaces
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On the Hankel singular values for a parametric system
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Computation of GCD of Sparse Multivariate Polynomials by Extended Hensel Construction
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Various Enhancements for Extended Hensel Construction of Sparse Multivariate Polynomials
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Simple Relation between the Lowest-Order Element of Ideal 〈G,H〉 and the Last Element of Polynomial Remainder Sequence
inferred← citeshttps://doi.org/10.1145/1080368.1080370openalex-snapshot
Factorization of multivariate polynomials by extended Hensel construction
inferred← citeshttps://doi.org/10.1145/1140378.1140383openalex-snapshot
Extension of expansion base algorithm for multivariate analytic factorization including the case of singular leading coefficient
inferred← citeshttps://doi.org/10.1145/1182553.1182559openalex-snapshot
Visualization of extended Hensel factors
inferred← citeshttps://doi.org/10.1145/1277500.1277517openalex-snapshot
A numerical study of extended Hensel series
inferred← citeshttps://doi.org/10.1145/1277500.1277531openalex-snapshot
A hybrid integral for parametrized rational functions
inferred← citeshttps://doi.org/10.1145/1504347.1504352openalex-snapshot
Convergence domain of series expansions of multivariate algebraic functions
inferred← citeshttps://doi.org/10.1145/1577190.1577215openalex-snapshot
Convergence and many-valuedness of hensel seriesnear the expansion point
inferred← citeshttps://doi.org/10.1145/2331684.2331691openalex-snapshot
A study of Hensel series in general case
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Improving Complexity Bounds for the Computation of Puiseux Series over Finite Fields
inferred← citeshttps://doi.org/10.1145/281508.281521openalex-snapshot
An analysis of cancellation error in multivariate Hensel construction with floating-point number arithmetic
inferred← citeshttps://doi.org/10.1145/2930889.2930938openalex-snapshot
Computing Limits of Real Multivariate Rational Functions
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Computing limits with the regularchains and powerseries libraries
inferred← citeshttps://doi.org/10.1145/3055282.3055286openalex-snapshot
Real limit points of quasi-componenets of regular chains
inferred← citeshttps://doi.org/10.1145/3087604.3087658openalex-snapshot
On the Extended Hensel Construction and its Application to the Computation of Limit Points
inferred← citeshttps://doi.org/10.1145/3096730.3096737openalex-snapshot
Enhancing the extended hensel construction by using Gröbner basis
inferred← citeshttps://doi.org/10.1145/373500.373502openalex-snapshot
Hensel construction of F(x, u 1 , ..., x l ) l ≥ 2 at a singular point and its applications
inferred← citeshttps://doi.org/10.17760/d20260369openalex-snapshot
Manifold learning and unwrapping using density ridges
inferred← citeshttps://doi.org/10.4172/2090-0902.1000125openalex-snapshot
Puiseux Series Expansions for the Eigenvalues of Transfer Matrices and Partition Functions from the Newton Polygon Method for Nanotubes and Ribbons
inferred← citeshttps://doi.org/10.5206/mt.v5i2.22367openalex-snapshot
The Multivariate Power Series Package in Maple 2024.
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Computing Puiseux series: a fast divide and conquer algorithm
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