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Computing Gröbner Bases for Vanishing Ideals of Finite Sets of Points

https://doi.org/10.1007/11617983_11
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What this work says

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

inferredcites →https://doi.org/10.1006/jcom.1997.0439openalex-snapshot
Decoding of Reed Solomon Codes beyond the Error-Correction Bound
inferredcites →https://doi.org/10.1006/jsco.1993.1051openalex-snapshot
Efficient Computation of Zero-dimensional Gröbner Bases by Change of Ordering
inferredcites →https://doi.org/10.1006/jsco.2000.0411openalex-snapshot
Computing Ideals of Points
inferredcites →https://doi.org/10.1007/3-540-11607-9_3openalex-snapshot
The construction of multivariate polynomials with preassigned zeros
inferredcites →https://doi.org/10.1007/3-540-28296-3openalex-snapshot
Computational Commutative Algebra 2
inferredcites →https://doi.org/10.1007/978-1-4757-6911-1openalex-snapshot
Using Algebraic Geometry
inferredcites →https://doi.org/10.1007/978-3-7091-3406-1openalex-snapshot
Computer Algebra
inferredcites →https://doi.org/10.1007/b138611openalex-snapshot
Using Algebraic Geometry
inferredcites →https://doi.org/10.1007/bf01386834openalex-snapshot
Gr�bner bases of ideals defined by functionals with an application to ideals of projective points
inferredcites →https://doi.org/10.1016/0012-365x(94)00126-4openalex-snapshot
From algebraic sets to monomial linear bases by means of combinatorial algorithms
inferredcites →https://doi.org/10.1016/j.jtbi.2004.04.037openalex-snapshot
A computational algebra approach to the reverse engineering of gene regulatory networks
inferredcites →https://doi.org/10.1016/s0024-3795(01)00509-2openalex-snapshot
Gröbner basis solutions of constrained interpolation problems
inferredcites →https://doi.org/10.1016/s0024-3795(02)00309-9openalex-snapshot
Fourth special issue on linear systems and control
inferredcites →https://doi.org/10.1017/cbo9780511565847.010openalex-snapshot
Gröbner Bases and Statistics
inferredcites →https://doi.org/10.1017/cbo9780511565847.030openalex-snapshot
Polynomial interpolation of Minimal Degree and Gröbner Bases
inferredcites →https://doi.org/10.1023/a:1018981505752openalex-snapshot
Polynomial interpolation in several variables
inferredcites →https://doi.org/10.1090/s0002-9947-96-01671-6openalex-snapshot
On multiplicities in polynomial system solving
inferredcites →https://doi.org/10.1090/s0025-5718-05-01790-4openalex-snapshot
Gröbner bases and generalized Padé approximation
inferredcites →https://doi.org/10.1109/18.782097openalex-snapshot
Improved decoding of Reed-Solomon and algebraic-geometry codes
inferredcites →https://doi.org/10.1109/tit.2003.819332openalex-snapshot
Algebraic soft-decision decoding of reed-solomon codes
inferredcites →https://doi.org/10.1112/blms/28.6.667openalex-snapshot
AN INTRODUCTION TO GRÖBNER BASES (Graduate Studies in Mathematics 3)

What points at this work

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

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Reducing shadow size in smooth scalable secret image sharing
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The Number of Gröbner Bases in Finite Fields (Research)
inferred← citeshttps://doi.org/10.1007/978-3-540-93806-4_3openalex-snapshot
The FGLM Problem and Möller’s Algorithm on Zero-dimensional Ideals
inferred← citeshttps://doi.org/10.1007/978-3-642-01960-9_6openalex-snapshot
Some Meeting Points of Gröbner Bases and Combinatorics
inferred← citeshttps://doi.org/10.1007/978-3-642-21493-6_4openalex-snapshot
Some Combinatorial Applications of Gröbner Bases
inferred← citeshttps://doi.org/10.1007/s00200-022-00586-zopenalex-snapshot
Degröbnerization: a political manifesto
inferred← citeshttps://doi.org/10.1007/s10994-026-07112-zopenalex-snapshot
Discovery of Exact Equations via Computing the Gröbner Basis
inferred← citeshttps://doi.org/10.1007/s11424-015-2202-9openalex-snapshot
The Fitzpatrick-Neville-type algorithm for multivariate vector-valued osculatory rational interpolation
inferred← citeshttps://doi.org/10.1007/s11424-016-4113-9openalex-snapshot
A two-dimensional improvement for Farr-Gao algorithm
inferred← citeshttps://doi.org/10.1007/s11424-016-4114-8openalex-snapshot
An algorithm for the discretization of an ideal projector
inferred← citeshttps://doi.org/10.1007/s11538-019-00624-xopenalex-snapshot
Geometric Characterization of Data Sets with Unique Reduced Gröbner Bases
inferred← citeshttps://doi.org/10.1016/j.cam.2016.05.012openalex-snapshot
The discretization for bivariate ideal interpolation
inferred← citeshttps://doi.org/10.1090/conm/826/16570openalex-snapshot
Gröbnerian and Gröbner free techniques on non-associative algebras
inferred← citeshttps://doi.org/10.1109/cvpr.2019.00628openalex-snapshot
Polynomial Representation for Persistence Diagram
inferred← citeshttps://doi.org/10.1109/tcad.2006.888277openalex-snapshot
Equivalence Verification of Polynomial Datapaths Using Ideal Membership Testing
inferred← citeshttps://doi.org/10.1145/1279721.1279722openalex-snapshot
Computing Gröbner bases of ideals of few points in high dimensions
inferred← citeshttps://doi.org/10.3934/math.2024948openalex-snapshot
Algorithms for computing Gröbner bases of ideal interpolation
inferred← citeshttps://doi.org/10.48550/arxiv.0711.3475openalex-snapshot
Efficiently computing Groebner bases of ideals of points
inferred← citeshttps://doi.org/10.48550/arxiv.2107.05353openalex-snapshot
Polynomials vanishing at lattice points in a convex set
inferred← citeshttps://doi.org/10.48550/arxiv.2111.07340openalex-snapshot
Computing Groebner bases of ideal interpolation
inferred← citeshttps://doi.org/10.5902/2179460x87459openalex-snapshot
A solution to the time-dependent two-dimensional Navier-Stokes equation in a rectangular domain using the Adomian decomposition method and theory of Gröbner Basis
inferred← citeshttps://doi.org/10.62056/an5tx4e-openalex-snapshot
Boomy: Batch Opening Of Multivariate polYnomial commitment
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