Effective algorithm for computing Noetherian operators of zero-dimensional ideals
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Publication:2100118
DOI10.1007/s00200-022-00570-7OpenAlexW4292283681WikidataQ114231179 ScholiaQ114231179MaRDI QIDQ2100118
Katsusuke Nabeshima, Shinichi Tajima
Publication date: 21 November 2022
Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00200-022-00570-7
partial differential operatorsprimary idealszero-dimensional idealsNoetherian operatorsholonomic \(\mathcal{D}\)-module
Symbolic computation and algebraic computation (68W30) Rings of differential operators (associative algebraic aspects) (16S32) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)
Uses Software
Cites Work
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- Eliminating dual spaces
- Numerical algorithms for detecting embedded components
- Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals
- Localization and primary decomposition of polynomial ideals
- Algorithms for computing a primary ideal decomposition without producing intermediate redundant components
- An algorithm for computing Grothendieck local residues. II: General case
- The big mother of all dualities. 2: Macaulay bases
- Annihilating ideals for an algebraic local cohomology class
- Gröbner bases and primary decomposition of polynomial ideals
- Direct methods for primary decomposition
- Differential operators and primary ideals
- Solving zero-dimensional systems through the rational univariate representation
- Efficient computation of zero-dimensional Gröbner bases by change of ordering
- Computing ideals of points
- Gröbner deformations of hypergeometric differential equations
- The construction of Noetherian operators
- Primary ideals and their differential equations
- Noetherian operators and primary decomposition
- Noetherian operators, primary submodules and symbolic powers
- An algorithm for computing Grothendieck local residues. I: Shape basis case
- Gröbner bases of ideals defined by functionals with an application to ideals of projective points
- Bezoutian and quotient ring structure
- On multiplicities in polynomial system solving
- NUMERICAL ALGORITHMS FOR DUAL BASES OF POSITIVE-DIMENSIONAL IDEALS
- Modular Algorithms for Computing Minimal Associated Primes and Radicals of Polynomial Ideals
- On the Macaulay inverse system and its importance for the theory of linear differential equations with constant coefficients
- Computational Methods for the Construction of a Class of Noetherian Operators
- New Algorithms for Computing Primary Decomposition of Polynomial Ideals
- Noetherian operators in Macaulay2
