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J-GLOBAL ID：201301035188565173   Update date: Feb. 01, 2024

HIROMASA NAKAYAMA

ナカヤマ ヒロマサ | HIROMASA NAKAYAMA
Affiliation and department：
東海大学理学部数学科

About 東海大学理学部数学科


Research field  (1)： Basic analysis
Research theme for competitive and other funds  (2)：
  • 2015 - 2018 Groebner Bases for Systems of Multivariable Hypergeometric Differential Equations
  • 2012 - 2014 Applications of the integration algorithm for D-modules
Papers (11)：
  • Hiromasa Nakayama, Nobuki Takayama. Introduction to Algorithms for D-Modules with Quiver D-Modules. Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers. 2020. 95-114
  • Tamio Koyama, Hiromasa Nakayama, Kenta Nishiyama, Nobuki Takayama. The holonomic rank of the Fisher-Bingham system of differential equations. JOURNAL OF PURE AND APPLIED ALGEBRA. 2014. 218. 11. 2060-2071
  • Hiromasa NAKAYAMA. GRÖBNER BASIS AND SINGULAR LOCUS OF LAURICELLA^|^apos;S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS. Kyushu Journal of Mathematics. 2014. 68. 2. 287-296
  • Tamio Koyama, Hiromasa Nakayama, Katsuyoshi Ohara, Tomonari Sei, Nobuki Takayama. Software Packages for Holonomic Gradient Method. Mathematical Software - ICMS 2014 - 4th International Congress(ICMS). 2014. 706-712
  • Tamio Koyama, Hiromasa Nakayama, Kenta Nishiyama, Nobuki Takayama. Holonomic gradient descent for the Fisher-Bingham distribution on the (d)-dimensional sphere. Computational Statistics. 2014. 29. 3. 661-683
ｍore...
MISC (13)：
  • Algorithms of $D$-modules with parameters (Computer Algebra - Theory and its Applications). RIMS Kokyuroku. 2020. 2159. 176-178
  • Nakayama, Hiromasa. Gröbner Bases for Systems of Differential Equations (Computer Algebra : Theory and its Applications). RIMS Kokyuroku. 2019. 2104. 20-23
  • 中山 洋将. 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. 数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation. 2018. 24. 2. 17-20
  • 中山 洋将. 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. 数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation. 2015. 21. 2. 49-51
  • 中山, 洋将, 小山, 民雄, 西山, 絢太, 高山, 信毅. $n$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). 数理解析研究所講究録. 2015. 1930. 124-134
ｍore...
Books (3)：
  • 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
    共立出版 2015 ISBN:9784320111134
  • Gröbner bases : statistics and software systems
    Springer 2013 ISBN:9784431545736
  • グレブナー道場
    共立出版 2011 ISBN:9784320019768
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