Shinichi Tajima

According to our database1, Shinichi Tajima authored at least 38 papers between 2009 and 2023.

Collaborative distances:
  • Dijkstra number2 of five.
  • Erdős number3 of four.

Timeline

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Bibliography

2023
Computing Holonomic D-Modules Associated to a Family of Non-isolated Hypersurface Singularities via Comprehensive Gröbner Systems of PBW Algebra.
Math. Comput. Sci., March, 2023

Effective Algorithm for Computing Noetherian Operators of Positive Dimensional Ideals.
Proceedings of the Computer Algebra in Scientific Computing - 25th International Workshop, 2023

2022
Exact Algorithms for Computing Generalized Eigenspaces of Matrices via Annihilating Polynomials.
CoRR, 2022

Correction: Effective algorithm for computing Noetherian operators of zero‑dimensional ideals.
Appl. Algebra Eng. Commun. Comput., 2022

Effective algorithm for computing Noetherian operators of zero-dimensional ideals.
Appl. Algebra Eng. Commun. Comput., 2022

2021
An Algorithm for Computing Torsion Differential Forms Associated with an Isolated Hypersurface Singularity.
Math. Comput. Sci., 2021

Testing Zero-Dimensionality of Varieties at a Point.
Math. Comput. Sci., 2021

A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals.
J. Symb. Comput., 2021

Methods for computing b-functions associated with μ-constant deformations - Case of inner modality 2 -.
CoRR, 2021

Computing Grothendieck Point Residues via Solving Holonomic Systems of First Order Partial Differential Equations.
Proceedings of the ISSAC '21: International Symposium on Symbolic and Algebraic Computation, 2021

A New Deterministic Method for Computing Milnor Number of an ICIS.
Proceedings of the Computer Algebra in Scientific Computing - 23rd International Workshop, 2021

2020
An Algorithm for Computing Grothendieck Local Residues II: General Case.
Math. Comput. Sci., 2020

An algorithm for computing the Hilbert-Samuel multiplicities and reductions of zero-dimensional ideals of Cohen-Macaulay local rings.
J. Symb. Comput., 2020

An effective method for computing Grothendieck point residue mappings.
CoRR, 2020

Computing regular meromorphic differential forms via Saito's logarithmic residues.
CoRR, 2020

Computing Logarithmic Vector Fields Along an ICIS Germ via Matlis Duality.
Proceedings of the Computer Algebra in Scientific Computing - 22nd International Workshop, 2020

2019
An Implementation of the Lê-Teissier Method for Computing Local Euler Obstructions.
Math. Comput. Sci., 2019

An Algorithm for Computing Grothendieck Local Residues I: Shape Basis Case.
Math. Comput. Sci., 2019

Solving Parametric Ideal Membership Problems and Computing Integral Numbers in a Ring of Convergent Power Series Via Comprehensive Gröbner Systems.
Math. Comput. Sci., 2019

Generalized Integral Dependence Relations.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2019

2018
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic <i>D</i>-modules.
J. Symb. Comput., 2018

Fast Algorithms for Computing Eigenvectors of Matrices via Pseudo Annihilating Polynomials.
CoRR, 2018

Fast Algorithm for Calculating the Minimal Annihilating Polynomials of Matrices via Pseudo Annihilating Polynomials.
CoRR, 2018

2017
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals.
J. Symb. Comput., 2017

2016
Computing Tjurina stratifications of μ-constant deformations via parametric local cohomology systems.
Appl. Algebra Eng. Commun. Comput., 2016

Comprehensive Gröbner Systems in Rings of Differential Operators, Holonomic D-modules and B-functions.
Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, 2016

2015
Solving Extended Ideal Membership Problems in Rings of Convergent Power Series via Gröbner Bases.
Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2015

Computing Logarithmic Vector Fields Associated with Parametric Semi-Quasihomogeneous Hypersurface Isolated Singularities.
Proceedings of the 2015 ACM on International Symposium on Symbolic and Algebraic Computation, 2015

Efficient Computation of Algebraic Local Cohomology Classes and Change of Ordering for Zero-Dimensional Standard Bases.
Proceedings of the Computer Algebra in Scientific Computing - 17th International Workshop, 2015

2014
On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases.
Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2014

An Extension and Efficient Calculation of the Horner's Rule for Matrices.
Proceedings of the Mathematical Software - ICMS 2014, 2014

Developing Linear Algebra Packages on Risa/Asir for Eigenproblems.
Proceedings of the Mathematical Software - ICMS 2014, 2014

An Algorithm for Computing Tjurina Stratifications of μ-Constant Deformations by Using Local Cohomology Classes with Parameters.
Proceedings of the Mathematical Software - ICMS 2014, 2014

An Algorithm for Computing Standard Bases by Change of Ordering via Algebraic Local Cohomology.
Proceedings of the Mathematical Software - ICMS 2014, 2014

An Algorithm for Computing the Truncated Annihilating Ideals for an Algebraic Local Cohomology Class.
Proceedings of the Computer Algebra in Scientific Computing - 16th International Workshop, 2014

2012
Study on Resource Optimization for Heterogeneous Networks.
IEICE Trans. Commun., 2012

Optimization of picocell locations and its parameters in heterogeneous networks with hotspots.
Proceedings of the 23rd IEEE International Symposium on Personal, 2012

2009
Annihilating ideals for an algebraic local cohomology class.
J. Symb. Comput., 2009


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