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Shinichi Tajima
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2020 – today
- 2024
- [j17]Shinichi Tajima, Katsusuke Nabeshima:
A Deterministic Method for Computing Bertini Type Invariants of Parametric Ideals. Math. Comput. Sci. 18(3): 14 (2024) - 2023
- [j16]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): 6 (2023) - [c16]Katsusuke Nabeshima, Shinichi Tajima:
Effective Algorithm for Computing Noetherian Operators of Positive Dimensional Ideals. CASC 2023: 272-291 - 2022
- [j15]Katsusuke Nabeshima
Effective algorithm for computing Noetherian operators of zero-dimensional ideals. Appl. Algebra Eng. Commun. Comput. 33(6): 867-899 (2022) - [j14]Katsusuke Nabeshima, Shinichi Tajima:
Correction: Effective algorithm for computing Noetherian operators of zero‑dimensional ideals. Appl. Algebra Eng. Commun. Comput. 33(6): 901 (2022) - [i8]Shinichi Tajima, Katsuyoshi Ohara, Akira Terui:
Exact Algorithms for Computing Generalized Eigenspaces of Matrices via Annihilating Polynomials. CoRR abs/2209.04807 (2022) - 2021
- [j13]Katsusuke Nabeshima
A new algorithm for computing logarithmic vector fields along an isolated singularity and Bruce-Roberts Milnor ideals. J. Symb. Comput. 107: 190-208 (2021) - [j12]Katsusuke Nabeshima
Testing Zero-Dimensionality of Varieties at a Point. Math. Comput. Sci. 15(2): 317-331 (2021) - [j11]Shinichi Tajima, Katsusuke Nabeshima
An Algorithm for Computing Torsion Differential Forms Associated with an Isolated Hypersurface Singularity. Math. Comput. Sci. 15(2): 353-367 (2021) - [c15]Shinichi Tajima, Katsusuke Nabeshima
A New Deterministic Method for Computing Milnor Number of an ICIS. CASC 2021: 391-408 - [c14]Shinichi Tajima, Katsusuke Nabeshima
Computing Grothendieck Point Residues via Solving Holonomic Systems of First Order Partial Differential Equations. ISSAC 2021: 361-368 - [i7]Katsusuke Nabeshima, Shinichi Tajima:
Methods for computing b-functions associated with μ-constant deformations - Case of inner modality 2 -. CoRR abs/2101.01384 (2021) - 2020
- [j10]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: 108-121 (2020) - [j9]Katsuyoshi Ohara, Shinichi Tajima:
An Algorithm for Computing Grothendieck Local Residues II: General Case. Math. Comput. Sci. 14(2): 483-496 (2020) - [c13]Shinichi Tajima, Takafumi Shibuta, Katsusuke Nabeshima
Computing Logarithmic Vector Fields Along an ICIS Germ via Matlis Duality. CASC 2020: 543-562 - [i6]Shinichi Tajima, Katsusuke Nabeshima:
Computing regular meromorphic differential forms via Saito's logarithmic residues. CoRR abs/2007.09950 (2020) - [i5]Shinichi Tajima, Katsusuke Nabeshima:
An effective method for computing Grothendieck point residue mappings. CoRR abs/2011.09092 (2020)
2010 – 2019
- 2019
- [j8]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): 185-194 (2019) - [j7]Katsuyoshi Ohara, Shinichi Tajima:
An Algorithm for Computing Grothendieck Local Residues I: Shape Basis Case. Math. Comput. Sci. 13(1-2): 205-216 (2019) - [j6]Shinichi Tajima, Katsusuke Nabeshima:
An Implementation of the Lê-Teissier Method for Computing Local Euler Obstructions. Math. Comput. Sci. 13(1-2): 273-280 (2019) - [c12]Katsusuke Nabeshima, Shinichi Tajima:
Generalized Integral Dependence Relations. MACIS 2019: 48-63 - [i4]Katsusuke Nabeshima, Shinichi Tajima:
Testing zero-dimensionality of varieties at a point. CoRR abs/1903.12365 (2019) - 2018
- [j5]Katsusuke Nabeshima, Katsuyoshi Ohara, Shinichi Tajima:
Comprehensive Gröbner systems in PBW algebras, Bernstein-Sato ideals and holonomic D-modules. J. Symb. Comput. 89: 146-170 (2018) - [i3]Shinichi Tajima, Katsuyoshi Ohara, Akira Terui:
Fast Algorithm for Calculating the Minimal Annihilating Polynomials of Matrices via Pseudo Annihilating Polynomials. CoRR abs/1801.08437 (2018) - [i2]Shinichi Tajima, Katsuyoshi Ohara, Akira Terui:
Fast Algorithms for Computing Eigenvectors of Matrices via Pseudo Annihilating Polynomials. CoRR abs/1811.09149 (2018) - 2017
- [j4]Katsusuke Nabeshima, Shinichi Tajima:
Algebraic local cohomology with parameters and parametric standard bases for zero-dimensional ideals. J. Symb. Comput. 82: 91-122 (2017) - 2016
- [j3]Katsusuke Nabeshima, Shinichi Tajima:
Computing Tjurina stratifications of μ-constant deformations via parametric local cohomology systems. Appl. Algebra Eng. Commun. Comput. 27(6): 451-467 (2016) - [c11]Katsusuke Nabeshima, Katsuyoshi Ohara, Shinichi Tajima:
Comprehensive Gröbner Systems in Rings of Differential Operators, Holonomic D-modules and B-functions. ISSAC 2016: 349-356 - 2015
- [c10]Katsusuke Nabeshima, Shinichi Tajima:
Efficient Computation of Algebraic Local Cohomology Classes and Change of Ordering for Zero-Dimensional Standard Bases. CASC 2015: 334-348 - [c9]Katsusuke Nabeshima, Shinichi Tajima:
Computing Logarithmic Vector Fields Associated with Parametric Semi-Quasihomogeneous Hypersurface Isolated Singularities. ISSAC 2015: 291-298 - [c8]Katsusuke Nabeshima, Shinichi Tajima:
Solving Extended Ideal Membership Problems in Rings of Convergent Power Series via Gröbner Bases. MACIS 2015: 252-267 - [i1]Katsusuke Nabeshima, Shinichi Tajima:
Algebraic Local Cohomology with Parameters and Parametric Standard Bases for Zero-Dimensional Ideals. CoRR abs/1508.06724 (2015) - 2014
- [c7]Takafumi Shibuta, Shinichi Tajima:
An Algorithm for Computing the Truncated Annihilating Ideals for an Algebraic Local Cohomology Class. CASC 2014: 447-459 - [c6]Katsuyoshi Ohara, Shinichi Tajima, Akira Terui
Developing Linear Algebra Packages on Risa/Asir for Eigenproblems. ICMS 2014: 321-324 - [c5]Shinichi Tajima, Katsuyoshi Ohara, Akira Terui
An Extension and Efficient Calculation of the Horner's Rule for Matrices. ICMS 2014: 346-351 - [c4]Katsusuke Nabeshima, Shinichi Tajima:
An Algorithm for Computing Standard Bases by Change of Ordering via Algebraic Local Cohomology. ICMS 2014: 414-418 - [c3]Katsusuke Nabeshima, Shinichi Tajima:
An Algorithm for Computing Tjurina Stratifications of μ-Constant Deformations by Using Local Cohomology Classes with Parameters. ICMS 2014: 523-530 - [c2]Katsusuke Nabeshima, Shinichi Tajima:
On efficient algorithms for computing parametric local cohomology classes associated with semi-quasihomogeneous singularities and standard bases. ISSAC 2014: 351-358 - 2012
- [j2]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. 95-B(4): 1198-1207 (2012) - [c1]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: 124-129
2000 – 2009
- 2009
- [j1]Shinichi Tajima, Yayoi Nakamura:
Annihilating ideals for an algebraic local cohomology class. J. Symb. Comput. 44(5): 435-448 (2009)
Coauthor Index
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