Shinichi Tajima

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 32

Top Topics

Pointwise Mutual Information

Differential Operators

Top Venues

Math. Comput. Sci.

Publications

Shinichi Tajima, Katsusuke Nabeshima
A Deterministic Method for Computing Bertini Type Invariants of Parametric Ideals. Math. Comput. Sci. 18 (3) (2024)
Katsusuke Nabeshima, Shinichi Tajima
Effective Algorithm for Computing Noetherian Operators of Positive Dimensional Ideals. CASC (2023)
Shinichi Tajima, Katsusuke Nabeshima, Katsuyoshi Ohara, Yoko Umeta
Computing Holonomic D-Modules Associated to a Family of Non-isolated Hypersurface Singularities via Comprehensive Gröbner Systems of PBW Algebra. Math. Comput. Sci. 17 (1) (2023)
Katsusuke Nabeshima, Shinichi Tajima
Effective algorithm for computing Noetherian operators of zero-dimensional ideals. Appl. Algebra Eng. Commun. Comput. 33 (6) (2022)
Katsusuke Nabeshima, Shinichi Tajima
Correction: Effective algorithm for computing Noetherian operators of zero‑dimensional ideals. Appl. Algebra Eng. Commun. Comput. 33 (6) (2022)
Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
Exact Algorithms for Computing Generalized Eigenspaces of Matrices via Annihilating Polynomials. CoRR (2022)
Shinichi Tajima, Katsusuke Nabeshima
Computing Grothendieck Point Residues via Solving Holonomic Systems of First Order Partial Differential Equations. ISSAC (2021)
Katsusuke Nabeshima, Shinichi Tajima
A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals. J. Symb. Comput. 107 (2021)
Katsusuke Nabeshima, Shinichi Tajima
Testing Zero-Dimensionality of Varieties at a Point. Math. Comput. Sci. 15 (2) (2021)
Shinichi Tajima, Katsusuke Nabeshima
A New Deterministic Method for Computing Milnor Number of an ICIS. CASC (2021)
Katsusuke Nabeshima, Shinichi Tajima
Methods for computing b-functions associated with μ-constant deformations - Case of inner modality 2 -. CoRR (2021)
Shinichi Tajima, Katsusuke Nabeshima
An Algorithm for Computing Torsion Differential Forms Associated with an Isolated Hypersurface Singularity. Math. Comput. Sci. 15 (2) (2021)
Takafumi Shibuta, Shinichi Tajima
An algorithm for computing the Hilbert-Samuel multiplicities and reductions of zero-dimensional ideals of Cohen-Macaulay local rings. J. Symb. Comput. 96 (2020)
Shinichi Tajima, Katsusuke Nabeshima
An effective method for computing Grothendieck point residue mappings. CoRR (2020)
Shinichi Tajima, Katsusuke Nabeshima
Computing regular meromorphic differential forms via Saito's logarithmic residues. CoRR (2020)
Katsuyoshi Ohara, Shinichi Tajima
An Algorithm for Computing Grothendieck Local Residues II: General Case. Math. Comput. Sci. 14 (2) (2020)
Shinichi Tajima, Takafumi Shibuta, Katsusuke Nabeshima
Computing Logarithmic Vector Fields Along an ICIS Germ via Matlis Duality. CASC (2020)
Katsusuke Nabeshima, Shinichi Tajima
Solving Parametric Ideal Membership Problems and Computing Integral Numbers in a Ring of Convergent Power Series Via Comprehensive Gröbner Systems. Math. Comput. Sci. 13 (1-2) (2019)
Katsusuke Nabeshima, Shinichi Tajima
Generalized Integral Dependence Relations. MACIS (2019)
Shinichi Tajima, Katsusuke Nabeshima
An Implementation of the Lê-Teissier Method for Computing Local Euler Obstructions. Math. Comput. Sci. 13 (1-2) (2019)
Katsuyoshi Ohara, Shinichi Tajima
An Algorithm for Computing Grothendieck Local Residues I: Shape Basis Case. Math. Comput. Sci. 13 (1-2) (2019)
Katsusuke Nabeshima, Shinichi Tajima
Testing zero-dimensionality of varieties at a point. CoRR (2019)
Katsusuke Nabeshima, Katsuyoshi Ohara, Shinichi Tajima
-modules. J. Symb. Comput. 89 (2018)
Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
Fast Algorithm for Calculating the Minimal Annihilating Polynomials of Matrices via Pseudo Annihilating Polynomials. CoRR (2018)
Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
Fast Algorithms for Computing Eigenvectors of Matrices via Pseudo Annihilating Polynomials. CoRR (2018)
Katsusuke Nabeshima, Shinichi Tajima
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. J. Symb. Comput. 82 (2017)
Katsusuke Nabeshima, Katsuyoshi Ohara, Shinichi Tajima
Comprehensive Gröbner Systems in Rings of Differential Operators, Holonomic D-modules and B-functions. ISSAC (2016)
Katsusuke Nabeshima, Shinichi Tajima
Computing Tjurina stratifications of μ-constant deformations via parametric local cohomology systems. Appl. Algebra Eng. Commun. Comput. 27 (6) (2016)
Katsusuke Nabeshima, Shinichi Tajima
Computing Logarithmic Vector Fields Associated with Parametric Semi-Quasihomogeneous Hypersurface Isolated Singularities. ISSAC (2015)
Katsusuke Nabeshima, Shinichi Tajima
Solving Extended Ideal Membership Problems in Rings of Convergent Power Series via Gröbner Bases. MACIS (2015)
Katsusuke Nabeshima, Shinichi Tajima
Algebraic Local Cohomology with Parameters and Parametric Standard Bases for Zero-Dimensional Ideals. CoRR (2015)
Katsusuke Nabeshima, Shinichi Tajima
Efficient Computation of Algebraic Local Cohomology Classes and Change of Ordering for Zero-Dimensional Standard Bases. CASC (2015)
Katsusuke Nabeshima, Shinichi Tajima
An Algorithm for Computing Standard Bases by Change of Ordering via Algebraic Local Cohomology. ICMS (2014)
Takafumi Shibuta, Shinichi Tajima
An Algorithm for Computing the Truncated Annihilating Ideals for an Algebraic Local Cohomology Class. CASC (2014)
Katsusuke Nabeshima, Shinichi Tajima
On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. ISSAC (2014)
Katsuyoshi Ohara, Shinichi Tajima, Akira Terui
Developing Linear Algebra Packages on Risa/Asir for Eigenproblems. ICMS (2014)
Katsusuke Nabeshima, Shinichi Tajima
An Algorithm for Computing Tjurina Stratifications of μ-Constant Deformations by Using Local Cohomology Classes with Parameters. ICMS (2014)
Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
An Extension and Efficient Calculation of the Horner's Rule for Matrices. ICMS (2014)
Hidekazu Shimodaira, Gia Khanh Tran, Shinichi Tajima, Kei Sakaguchi, Kiyomichi Araki, Noriaki Miyazaki, Shoji Kaneko, Satoshi Konishi, Yoji Kishi
Optimization of picocell locations and its parameters in heterogeneous networks with hotspots. PIMRC (2012)
Gia Khanh Tran, Shinichi Tajima, Rindranirina Ramamonjison, Kei Sakaguchi, Kiyomichi Araki, Shoji Kaneko, Noriaki Miyazaki, Satoshi Konishi, Yoji Kishi
Study on Resource Optimization for Heterogeneous Networks. IEICE Trans. Commun. (4) (2012)
Shinichi Tajima, Yayoi Nakamura
Annihilating ideals for an algebraic local cohomology class. J. Symb. Comput. 44 (5) (2009)