Nakayama Hiromasa
| College of Bioresource Sciences Department of General Education | Associate Professor |
Researcher Information
Research activity information
Paper
- Computation of Contiguous Operators by Using Groebner Bases in Modules
中山洋将
数式処理, Jun. 2024, Refereed
Lead - Computation of Quasi Zalgaller Polyhedrons
中山洋将; 山本侑理
Bulletin of the Japan Society for Symbolic and Algebraic Computation, Jan. 2024, Refereed
Lead - Introduction to Algorithms for D-Modules with Quiver D-Modules
Hiromasa Nakayama; Nobuki Takayama
Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers, 2020, Refereed - The holonomic rank of the Fisher-Bingham system of differential equations
Tamio Koyama; Hiromasa Nakayama; Kenta Nishiyama; Nobuki Takayama
JOURNAL OF PURE AND APPLIED ALGEBRA, Nov. 2014, Refereed, Not invited - GRÖBNER BASIS AND SINGULAR LOCUS OF LAURICELLA^|^apos;S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS
Hiromasa NAKAYAMA
Kyushu Journal of Mathematics, 2014, Refereed
Lead - Software Packages for Holonomic Gradient Method.
Tamio Koyama; Hiromasa Nakayama; Katsuyoshi Ohara; Tomonari Sei; Nobuki Takayama
Mathematical Software - ICMS 2014 - 4th International Congress(ICMS), 2014, Refereed - Holonomic gradient descent for the Fisher-Bingham distribution on the (d)-dimensional sphere.
Tamio Koyama; Hiromasa Nakayama; Kenta Nishiyama; Nobuki Takayama
Computational Statistics, 2014, Refereed - Computing differential equations for integrals associated to smooth Fano polytope
Hiromasa Nakayama; Nobuki Takayama
Japan Journal of Industrial and Applied Mathematics, Jun. 2013, Refereed
Lead - An Algorithm of Computing Inhomogeneous Difference Equations for a Definite Sum
Hiromasa NAKAYAMA; JST CREST
Harmony of Gröbner Bases and the Modern Industrial Society - The Second CREST-CSBM International Conference, 2012, Refereed
Lead - Holonomic gradient descent and its application to the Fisher-Bingham integral.
Hiromasa Nakayama; Kenta Nishiyama; Masayuki Noro; Katsuyoshi Ohara; Tomonari Sei; Nobuki Takayama; Akimichi Takemura
Advances in Applied Mathematics, 2011, Refereed - An Algorithm of Computing Inhomogeneous Differential Equations for Definite Integrals.
Hiromasa Nakayama; Kenta Nishiyama
Mathematical Software - ICMS 2010(ICMS), 2010, Refereed
Lead - Determination of b-functions of polynomials defining Saito free divisors related with simple curve singularities
Hiromasa Nakayama; Jiro Sekiguchi
Kumamoto Journal of Mathematics, 2009, Refereed - Algorithm computing the local b function by an approximate division algorithm in D.
Hiromasa Nakayama
Journal of Symbolic Computation, 2009, Refereed
Lead - An Interactive User Interface for Division Algorithms and the Buchberger Algorithm.
Hiromasa Nakayama
Mathematical Software - ICMS 2006(ICMS), 2006, Refereed
Lead
MISC
- Algorithms of $D$-modules with parameters (Computer Algebra - Theory and its Applications)
中山洋将
RIMS Kokyuroku, Jun. 2020 - Gröbner Bases for Systems of Differential Equations (Computer Algebra : Theory and its Applications)
Nakayama Hiromasa
RIMS Kokyuroku, Feb. 2019 - ある2変数微分方程式系のグレブナー基底について—第26回日本数式処理学会大会報告
中山 洋将
数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation, May 2018 - Kampe de Ferietの2変数超幾何微分方程式系のグレブナー基底—第23回日本数式処理学会大会報告
中山 洋将
数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation, Aug. 2015 - $n$次元Fisher-Bingham分布のホロノミック勾配降下法を用いた最尤推定とその実装について (数式処理研究の新たな発展)
中山洋将; 小山民雄; 西山絢太; 高山信毅
数理解析研究所講究録, Jan. 2015 - Lauricella超幾何微分方程式系のグレブナー基底とその応用—第22回日本数式処理学会大会報告
中山 洋将
数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation, Jun. 2014 - Lauricella 超幾何微分方程式系のグレブナー基底について (数式処理 : その研究と目指すもの)
中山 洋将
数理解析研究所講究録, Jul. 2013 - Gr￥"{o}bner basis of Lauricella's hypergeometric equations and its applications
中山 洋将
COE Lecture Note (数式処理研究と産学連携の新たな発展), 2013 - An algorithm of computing inhomogeneous differential equations for definite integrals (Computer Algebra : Design of Algorithms, Implementations and Applications)
NAKAYAMA HIROMASA; NISHIYAMA KENTA
RIMS Kokyuroku, Oct. 2012 - $D$ 加群の積分アルゴリズムと近似零化イデアル (数式処理研究の新たな発展)
中山 洋将
数理解析研究所講究録, May 2012 - 和の満たす非斉次差分方程式系を与えるアルゴリズム (数式処理 : その研究と目指すもの)
中山洋将
数理解析研究所講究録, Mar. 2012 - 割り算アルゴリズムとBuchberger アルゴリズムのためのインタラクティブユーザインターフェース作成について (Computer Algebra : Design of Algorithms, Implementations and Applications)
中山洋将
数理解析研究所講究録, Sep. 2006 - Moraの割り算アルゴリズムと多項式のlocal $b$ 関数の計算
中山洋将
数理解析研究所講究録, Nov. 2005
Books and other publications
- グレブナー教室 : 計算代数統計への招待 = Gröbner exciting class : introduction to computational algebraic statistics
竹村彰通; 日比孝之; 原尚幸; 東谷章弘; 清智也; 『グレブナー道場; 著者一同
共立出版, Jul. 2015
9784320111134 - Gröbner bases : statistics and software systems
日比孝之
Springer, 2013
9784431545736 - グレブナー道場
JST CREST日比チーム; 科学技術振興機構
共立出版, Sep. 2011
9784320019768
Research Themes
- Groebner Bases for Systems of Multivariable Hypergeometric Differential Equations
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), 01 Apr. 2015 - 31 Mar. 2018
Nakayama Hiromasa - Applications of the integration algorithm for D-modules
Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), 01 Apr. 2012 - 31 Mar. 2014
NAKAYAMA Hiromasa
