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Approximate factorization of multivariate polynomials and absolute irreducibility testing
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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/10.1007/978-3-7091-3406-1_8openalex-snapshot
Factorization of Polynomials
inferredcites →https://doi.org/10.1007/978-3-7091-7551-4_8openalex-snapshot
Factorization of Polynomials
inferredcites →https://doi.org/10.1007/bf01457454openalex-snapshot
Factoring polynomials with rational coefficients
inferredcites →https://doi.org/10.1007/bfb0032849openalex-snapshot
Polynomial factorization by root approximation
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/10.1145/1089310.1089311openalex-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/10.1145/800070.802200openalex-snapshot
A polynomial reduction from multivariate to bivariate integral polynomial factorization.
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.
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Irreducible Decomposition of Curves
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Regularization and Matrix Computation in Numerical Polynomial Algebra
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A unified method for multivariate polynomial factorizations
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Approximate eigenvalues, eigenvectors and inverse of a matrix with polynomial entries
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Hensel construction with an arbitrary degree of convergence
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Analysis of approximate factorization algorithm I
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Solving multivariate algebraic equation by Hensel construction
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A study of approximate polynomials, I —Representation and arithmetic—
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The Numerical Factorization of Polynomials
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Obtaining exact interpolation multivariate polynomial by approximation
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Exact bivariate polynomial factorization over ℚ by approximation of roots
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Obtaining exact value by approximate computations
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Sparse bivariate polynomial factorization
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On the Location of Pseudozeros of a Complex Interval Polynomial
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Approximate factorization of multivariate polynomials using singular value decomposition
inferred← citeshttps://doi.org/10.1016/j.jsc.2008.03.007openalex-snapshot
Towards toric absolute factorization
inferred← citeshttps://doi.org/10.1016/s0747-7171(02)00011-1openalex-snapshot
Semi-numerical absolute factorization of polynomials with integer coefficients
inferred← citeshttps://doi.org/10.1023/a:1013580019355openalex-snapshot
Real Factorization of Multivariate Polynomials with Integer Coefficients
inferred← citeshttps://doi.org/10.1080/00207160.2012.716199openalex-snapshot
A complete algorithm to find exact minimal polynomial by approximations
inferred← citeshttps://doi.org/10.1090/s0025-5718-06-01810-2openalex-snapshot
Sharp precision in Hensel lifting for bivariate polynomial factorization
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Polynomial GCD and Factorization via Approximate Gröbner Bases
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A Theory and an Algorithm of Approximate Gröbner Bases
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Proposal of Singularization of Approximately Singular Polynomial Systems
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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/10.1145/1005285.1005300openalex-snapshot
Absolute polynomial factorization in two variables and the knapsack problem
inferred← citeshttps://doi.org/10.1145/1005285.1005311openalex-snapshot
Approximate factorization of multivariate polynomials via differential equations
inferred← citeshttps://doi.org/10.1145/1277500.1277502openalex-snapshot
Approximate bivariate factorization
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On probabilistic analysis of randomization in hybrid symbolic-numeric algorithms
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Extracting numerical factors of multivariate polynomials from taylor expansions
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Finding exact minimal polynomial by approximations
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Approximate factorization of polynomials over Z
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A numerical absolute primality test for bivariate polynomials
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An analysis of cancellation error in multivariate Hensel construction with floating-point number arithmetic
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Pseudofactors of multivariate polynomials
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Towards factoring bivariate approximate polynomials
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Approximate multivariate polynomial factorization based on zero-sum relations
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A geometric-numeric algorithm for absolute factorization of multivariate polynomials
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Towards certified irreducibility testing of bivariate approximate polynomials
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On approximate irreducibility of polynomials in several variables
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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
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Decomposing solution sets of polynomial systems: a new parallel monodromy breakup algorithm
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Factorization of multivariate polynomials over finite fields
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Exact Bivariate Polynomial Factorization in Q by Approximation of Roots
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Analytic Methods for Differential Algebraic Equations
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Decomposing Solution Sets of Polynomial Systems: A New Parallel Monodromy Breakup Algorithm
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Multivariate Polynomial Factorization by Interpolation Method
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An Improved Algorithm for Recovering Exact Value from its Approximation
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Factorisation des polynômes à plusieurs variables
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