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A unified method for multivariate polynomial factorizations

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/j.1538-7305.1967.tb03174.xopenalex-snapshot
Factoring Polynomials Over Finite Fields
inferredcites →https://doi.org/10.1007/3-540-10843-2_2openalex-snapshot
Absolute primality of polynomials is decidable in random polynomial time in the number of variables
inferredcites →https://doi.org/10.1007/3-540-11607-9_4openalex-snapshot
Lattices and factorization of polynomials over algebraic number fields
inferredcites →https://doi.org/10.1007/bf01457454openalex-snapshot
Factoring polynomials with rational coefficients
inferredcites →https://doi.org/10.1007/bf03167142openalex-snapshot
Approximate factorization of multivariate polynomials and absolute irreducibility testing
inferredcites →https://doi.org/10.1007/bf03167271openalex-snapshot
Analysis of approximate factorization algorithm I
inferredcites →https://doi.org/10.1007/bfb0030321openalex-snapshot
Factoring multivariate polynomials over algebraic number fields
inferredcites →https://doi.org/10.1007/bfb0036913openalex-snapshot
Polynomial-time factorization of multivariate polynomials over finite fields
inferredcites →https://doi.org/10.1016/0022-314x(69)90047-xopenalex-snapshot
On Hensel factorization, I
inferredcites →https://doi.org/10.1016/s0747-7171(85)80029-8openalex-snapshot
Fast parallel absolute irreducibility testing
inferredcites →https://doi.org/10.1090/s0025-5718-1975-0396471-3openalex-snapshot
Factoring multivariate polynomials over the integers
inferredcites →https://doi.org/10.1090/s0025-5718-1976-0568283-xopenalex-snapshot
Factoring Multivariate Polynomials over Algebraic Number Fields
inferredcites →https://doi.org/10.1137/0216040openalex-snapshot
Factoring Multivariate Polynomials over Algebraic Number Fields
inferredcites →https://doi.org/10.1145/1089310.1089311openalex-snapshot
Polynomial reduction from multivariate to bivariate integral polynomial factorization
inferredcites →https://doi.org/10.1145/355705.355709openalex-snapshot
Factoring Polynomials Over Algebraic Number Fields
inferredcites →https://doi.org/10.1145/800205.806338openalex-snapshot
Algebraic factoring and rational function integration
inferredcites →https://doi.org/10.1145/96877.96966openalex-snapshot
On factoring multi-variate polynomials over algebraically closed fields (abstract)

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1006/jnth.2001.2763openalex-snapshot
Factoring Polynomials and the Knapsack Problem
inferred← citeshttps://doi.org/10.1007/978-3-211-99314-9_5openalex-snapshot
Regularization and Matrix Computation in Numerical Polynomial Algebra
inferred← citeshttps://doi.org/10.1007/978-3-7643-7984-1_2openalex-snapshot
Ill-conditioned Properties and Hybrid Computations
inferred← citeshttps://doi.org/10.1007/bf03167329openalex-snapshot
Solving multivariate algebraic equation by Hensel construction
inferred← citeshttps://doi.org/10.1007/bf03167386openalex-snapshot
A study of approximate polynomials, I —Representation and arithmetic—
inferred← citeshttps://doi.org/10.1007/s11424-018-6445-0openalex-snapshot
A New Algorithm for Computing the Extended Hensel Construction of Multivariate Polynomials
inferred← citeshttps://doi.org/10.1007/s11425-014-4850-yopenalex-snapshot
Sparse bivariate polynomial factorization
inferred← citeshttps://doi.org/10.1016/j.jco.2007.01.008openalex-snapshot
Lifting and recombination techniques for absolute factorization
inferred← citeshttps://doi.org/10.1016/j.jco.2025.101934openalex-snapshot
Factoring sparse polynomials fast
inferred← citeshttps://doi.org/10.1016/j.tcs.2010.11.047openalex-snapshot
Computing monodromy via continuation methods on random Riemann surfaces
inferred← citeshttps://doi.org/10.1023/a:1011188813541openalex-snapshot
Enclosure of the Zero Set of Polynomials in Several Complex Variables
inferred← citeshttps://doi.org/10.1090/s0025-5718-06-01810-2openalex-snapshot
Sharp precision in Hensel lifting for bivariate polynomial factorization
inferred← citeshttps://doi.org/10.1137/s0036142901397101openalex-snapshot
Symmetric Functions Applied to Decomposing Solution Sets of Polynomial Systems
inferred← citeshttps://doi.org/10.1145/1005285.1005294openalex-snapshot
Complexity issues in bivariate polynomial factorization
inferred← citeshttps://doi.org/10.1145/1080368.1080370openalex-snapshot
Factorization of multivariate polynomials by extended Hensel construction
inferred← citeshttps://doi.org/10.1145/1277500.1277502openalex-snapshot
Approximate bivariate factorization
inferred← citeshttps://doi.org/10.1145/1577190.1577210openalex-snapshot
Continuations and monodromy on random riemann surfaces
inferred← citeshttps://doi.org/10.1145/1577190.1577216openalex-snapshot
Approximate factorization of polynomials over Z
inferred← citeshttps://doi.org/10.1145/1823931.1823948openalex-snapshot
Approximate factorization of polynomials in Z[x]
inferred← citeshttps://doi.org/10.1145/3510359openalex-snapshot
Discovering the Roots: Uniform Closure Results for Algebraic Classes Under Factoring
inferred← citeshttps://doi.org/10.1145/384101.384114openalex-snapshot
Towards factoring bivariate approximate polynomials
inferred← citeshttps://doi.org/10.1145/780506.780531openalex-snapshot
Towards certified irreducibility testing of bivariate approximate polynomials
inferred← citeshttps://doi.org/10.1145/860854.860857openalex-snapshot
Polynomial factorization
inferred← citeshttps://doi.org/10.11540/jsiamt.7.2_217openalex-snapshot
近似スペクトル分解とその最適制御への応用:SISO, 1パラメータの場合
inferred← citeshttps://doi.org/10.1201/b15006openalex-snapshot
Handbook of Finite Fields
inferred← citeshttps://doi.org/10.1201/b15006-22openalex-snapshot
Cryptography
inferred← citeshttps://doi.org/10.1504/ijcse.2009.027001openalex-snapshot
Decomposing solution sets of polynomial systems: a new parallel monodromy breakup algorithm
inferred← citeshttps://doi.org/10.4271/940203openalex-snapshot
Joining of Si 3 N 4 Turbine Rotor and Metal Shaft
inferred← citeshttps://doi.org/10.48550/arxiv.2312.17380openalex-snapshot
Factoring sparse polynomials fast
inferred← citeshttps://doi.org/10.48550/arxiv.cs/0509067openalex-snapshot
Decomposing Solution Sets of Polynomial Systems: A New Parallel Monodromy Breakup Algorithm
inferred← citeshttps://doi.org/10.5802/ccirm.18openalex-snapshot
Factorisation des polynômes à plusieurs variables
inferred← citeshttps://doi.org/10.5802/jtnb.655openalex-snapshot
Factoring polynomials over global fields
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