KAI Hiroshi 甲斐博

Researcher Number	10274341
Other IDs
External Links
Affiliation (Current)	2025: 愛媛大学, 理工学研究科(工学系), 准教授
Affiliation (based on the past Project Information) *help	2007 – 2009: 愛媛大学, 大学院・理工学研究科, 准教授 2002 – 2006: Ehime Univ., Dept. Comp. Sci., Lecturer, 工学部, 講師 2002: 愛媛大, 工学部, 講師 2000 – 2001: 愛媛大学, 工学部, 助手
Review Section/Research Field	Principal Investigator 計算機科学 Except Principal Investigator Fundamental theory of informatics / 計算機科学
Keywords	Except Principal Investigator 近似代数 / algebraic-numeric computation / algebraic computation / approximate algebra / 近似的代数計算法 / 数式処理システム / 計算機代数 / 数値数式融合計算 / 数値数式融合算法 / 数式処理 … More / eight-line arrangement / approximate Grobner base / extended Hensel construction / approximate factorization / approximate GCD / 数学公式データベース / 数式処理の教育への応用 / 近似代数の応用 / 最小根間距離 / 近接根分離 / 近似無平方分解 / Hensel構成 / 浮動小数Groebner基底 / Groebner基底 / 記号的Newton法 / 直線アレンジメント / 浮動小数Grobner基底 / 拡張Hensel構成 / 近似因数分解 / 近似GCD / formula manipulation / computer algebra system / computer algebra / 誤差解析 / 代数的算法の誤差解析 / 代数的算法 / 誤差解析と安定化 / 代数的計算 / 大規模一般化固有地問題 / 拡張ヘンゼル級数 / 近似代数システム / 製係数多項式の近似因数分解 / 特異点とHensel級数 / 多変数代数関数の級数展開 / 連立代数方程式とDixon終結式 / 近似代数計算システム / 多変数代数関数の特異点での展開 / 数式文章編集システム / 多変数代数方程式の解法 / 大規模固有地問題 / 近似グレブナー基底 / 浮動小数グレブナー基底 / 数値解析 / アルゴリズム理論 Less

Study of Algorithms and Applications of Approximate Algebra
- Principal Investigator
  
  SASAKI Tateaki
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Fundamental theory of informatics
- Research Institution
  University of Tsukuba
Study of Algorithms and Applications of Approximate Algebra
- Principal Investigator
  
  SASAKI Tateaki
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Fundamental theory of informatics
- Research Institution
  University of Tsukuba
ハイブリッド計算による連立代数方程式解法に関する研究Principal Investigator
- Principal Investigator
  
  甲斐博
- Project Period (FY)
  2002
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  計算機科学
- Research Institution
  Ehime University
Study of Algorithms and Applications of Approximate Algebra
- Principal Investigator
  
  SASAKI Tateaki
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  計算機科学
- Research Institution
  University of Tsukuba

All 2009 2008 2007 2005 2004 2003

All Journal Article Presentation

[Journal Article] パラメータを持つ有理関数のハイブリッド積分2009
- Author(s)
  中川菜菜美, 甲斐博, 野田松太郎
- Journal Title
  
  数理解析研究所考究録 1652
  
  Pages: 203-210
- Data Source
  KAKENHI-PROJECT-19300001
[Journal Article] A MathML content markup editor on the xfy2008
- Author(s)
  T. Kawata, M. Kataoka, H. Kai, Y. Tamura
- Journal Title
  
  http://www.orcca.on.ca/conferences/cca2008/papers
  
  Pages: 1-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19300001
[Journal Article] A MathML content markup editor on the xfy2008
- Author(s)
  T. Kawata, H. Kai, Y. Tamura
- Journal Title
  
  Electric Proc.Of ACA2008
  
  Pages: 1-5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19300001
[Journal Article] Rational interpolation and its ill-conditioned property2007
- Author(s)
  H.Kai
- Journal Title
  
  Symbolic Numeric Computation Birkhauser
  
  Pages: 47-53
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Rational interpolation and its ill-conditioned property2007
- Author(s)
  H.Kai
- Journal Title
  
  Symbolic Numeric Computation (Birkhauser)
  
  Pages: 47-53
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] A Hybrid Integral for Parametrized Rational Functions2007
- Author(s)
  Hiroshi Kai, Nanami Nakagawa, Matu-Tarow Noda
- Journal Title
  
  Proceedings of SNC'07(Symb. Numer. Comput.)
  
  Pages: 201-202
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19300001
[Journal Article] Hybrid rational function approximation and ill-conditioned problem (in Japanese)2005
- Author(s)
  H.Nakajima, H.Kai, M-T.Noda
- Journal Title
  
  Sushiki-Shori Vol.11
  
  Pages: 141-152
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] ハイブリッド有理関数近似と悪条件問題2005
- Author(s)
  中島裕美, 甲斐博, 野田松太郎
- Journal Title
  
  数式処理 11
  
  Pages: 141-152
- NAID
  40007176805
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] ハイブリッド有理関数近似と悪条件問題2005
- Author(s)
  中島裕美, 甲斐博, 野田松太郎
- Journal Title
  
  数式処理 Vol. 11
  
  Pages: 141-152
- NAID
  40007176805
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Approximate GCD and its applications2005
- Author(s)
  M-T.Noda, H.Kai
- Journal Title
  
  Proc.Asian Symb.Comp.Math
  
  Pages: 215-218
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] ハイブリッド有理関数近似と悪条件問題2005
- Author(s)
  中島裕美, 甲斐博, 野田松太郎
- Journal Title
  
  数式処理 Vol.11
  
  Pages: 141-152
- NAID
  40007176805
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Approximate GCD and its applications2005
- Author(s)
  M-T.Noda, H.Kai
- Journal Title
  
  Proc.ASCM2005, World Sci.
  
  Pages: 215-218
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Rational function approximation and its ill-conditioned property2005
- Author(s)
  H.Kai
- Journal Title
  
  Proc.Symb.Numer.Comp.2005
  
  Pages: 62-64
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Approximate GCD and its applications2005
- Author(s)
  M-T.Noda, H.Kai
- Journal Title
  
  Proc. Asian Symp. Comp. Math. (Seoul)
  
  Pages: 215-218
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] G関数を用いた数学公式データベースの実装について2004
- Author(s)
  森永昌義, 甲斐博, 野田松太郎
- Journal Title
  
  数理解析研究所講究録 1395
  
  Pages: 205-211
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Ill-conditioned properties and hybrid rational function approximation2004
- Author(s)
  H.Kai
- Journal Title
  
  Proc.ACA' 2004
  
  Pages: 85-92
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Hybrid method for computing the nearest singular polynomials2004
- Author(s)
  L.Zhi, M.T.Noda, H.Kai, W.Wu
- Journal Title
  
  Japan J. Indus. App. Math. Vol. 21
  
  Pages: 149-162
- NAID
  10018379945
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Ill-conditioned properties and hybrid rational function approximation2004
- Author(s)
  H.Kai
- Journal Title
  
  Proc. ACA2004 (Beaumont, Texas)
  
  Pages: 85-92
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Ill-conditioned properties and hybrid rational function approximation2004
- Author(s)
  H.Kai
- Journal Title
  
  Proc.of ACA2004
  
  Pages: 85-92
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Hybrid method for computing the nearest singular polynomial2004
- Author(s)
  L.Zhi, M-T.Noda, H.Kai, W.Wu
- Journal Title
  
  Japan J.Indus.Appl.Math. Vol.21
  
  Pages: 149-162
- NAID
  10018379945
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Approximate computation of pseudovarieties2004
- Author(s)
  R.M.Corless, 甲斐博, S.M.Watt
- Journal Title
  
  数理解析研究所講究録 1395
  
  Pages: 71-75
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Lupin : towards the framework of web-based problem solving environments2003
- Author(s)
  K.Li, M.Sakai, Y.Morizane, K.Kono, M.T.Noda
- Journal Title
  
  Proc.of 8th ATCM World Sci.
  
  Pages: 276-285
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Lupin : towards the framework of web-based problem solving environments2003
- Author(s)
  K.Li, M.Sakai, Y.Morizane, K.Kono, M.T.Noda
- Journal Title
  
  Proc. of 8th Asian Tech. Conf. Math. (Bangkok)
  
  Pages: 276-285
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Journal Article] Approximate computation of pseudovarieties2003
- Author(s)
  R.M.Corless, H.Kai, S.M.Watt
- Journal Title
  
  ACM SIGSAM Bulletin Vol. 37
  
  Pages: 67-71
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15300002
[Presentation] MathML編集環境における近似代数の利用について2009
- Author(s)
  片岡正彰, 嶋津央礼, 甲斐博, 宮本敦史
- Organizer
  京都大学数理解析研究所研究集会
- Place of Presentation
  京都大学(京都)
- Year and Date
  2009-11-05
- Data Source
  KAKENHI-PROJECT-19300001
[Presentation] A MathML authoring tool using approximate algebra2009
- Author(s)
  甲斐博, 片岡正彰, 嶋津央礼, 宮本敦史
- Organizer
  ACA 2009(Applications of Computer Algebra)
- Place of Presentation
  Montreal(Canada)
- Year and Date
  2009-06-27
- Data Source
  KAKENHI-PROJECT-19300001
[Presentation] 有理関数補問を用いた秘密分散法の一考察2008
- Author(s)
  藤原名穂,甲斐博
- Organizer
  情報処理学会コンピユータセキユリティシンポじウム2008
- Place of Presentation
  沖縄
- Year and Date
  2008-10-10
- Data Source
  KAKENHI-PROJECT-19300001
[Presentation] xfy上のMathML content markupエディタの実装と評価2008
- Author(s)
  河田貴幸,片岡正彰,甲斐博,田村恭士
- Organizer
  数理研研究集会
- Place of Presentation
  京都
- Year and Date
  2008-11-27
- Data Source
  KAKENHI-PROJECT-19300001
[Presentation] 浮動小数グレブナー基底の悪条件性2008
- Author(s)
  佐々木建昭、甲斐博
- Organizer
  数理研研究集会
- Place of Presentation
  京都
- Year and Date
  2008-11-25
- Data Source
  KAKENHI-PROJECT-19300001
[Presentation] xfy MathML Content Markup Editorの開発とユーザインタフェース評価2008
- Author(s)
  河田貴幸,甲斐博,田村恭士
- Organizer
  電子情報通信学会知能ソフトウェア工学研究会
- Place of Presentation
  宮崎
- Year and Date
  2008-05-29
- Data Source
  KAKENHI-PROJECT-19300001
[Presentation] On Ill-conditionedness of Floating-point Groebner Bases2008
- Author(s)
  Tateaki Sasaki, Hiroshi Kai
- Organizer
  Intern'l Symposium on Applications for Computer Algebra 2008
- Place of Presentation
  Linz, Austria
- Year and Date
  2008-07-29
- Data Source
  KAKENHI-PROJECT-19300001
[Presentation] A Hybrid Integral for Parametrized Rational Functions2007
- Author(s)
  Hiroshi Kai, Nanami Nakagawa, Matu-Tarow Noda
- Organizer
  Intern'l Workshop on Symbolic-Algebraic Computation
- Place of Presentation
  Western Ontario Univ., Canada
- Year and Date
  2007-07-24
- Data Source
  KAKENHI-PROJECT-19300001

1. KAKO Fujio (90152610)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
2. SASAKI Tateaki (80087436)

# of Collaborated Projects: 3 results

# of Collaborated Products: 4 results
3. TERUI Akira (80323260)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. FUKUI Tetsuo (70218890)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
5. NODA Matu-tarou (10036402)

# of Collaborated Projects: 2 results

# of Collaborated Products: 12 results
6. SAKURAI Tetsuya (60187086)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

KAI Hiroshi 甲斐 博

Research Projects

Research Products

Co-Researchers

Study of Algorithms and Applications of Approximate Algebra

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Algorithms and Applications of Approximate Algebra

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ハイブリッド計算による連立代数方程式解法に関する研究Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Study of Algorithms and Applications of Approximate Algebra

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] パラメータを持つ有理関数のハイブリッド積分2009

Author(s)

Journal Title

Data Source

[Journal Article] A MathML content markup editor on the xfy2008

Author(s)

Journal Title

Data Source

[Journal Article] A MathML content markup editor on the xfy2008

Author(s)

Journal Title

Data Source

[Journal Article] Rational interpolation and its ill-conditioned property2007

Author(s)

Journal Title

Description

Data Source

[Journal Article] Rational interpolation and its ill-conditioned property2007

Author(s)

Journal Title

Description

Data Source

[Journal Article] A Hybrid Integral for Parametrized Rational Functions2007

Author(s)

Journal Title

Data Source

[Journal Article] Hybrid rational function approximation and ill-conditioned problem (in Japanese)2005

Author(s)

Journal Title

Description

Data Source

[Journal Article] ハイブリッド有理関数近似と悪条件問題2005

Author(s)

Journal Title

NAID

Data Source

[Journal Article] ハイブリッド有理関数近似と悪条件問題2005

Author(s)

Journal Title

NAID

Description

Data Source

[Journal Article] Approximate GCD and its applications2005

Author(s)

Journal Title

Data Source

[Journal Article] ハイブリッド有理関数近似と悪条件問題2005

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Approximate GCD and its applications2005

KAI Hiroshi 甲斐博