FUKUDA AKIKO 福田亜希子

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FUKUDA Akiko 福田亜希子

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Researcher Number	70609297
Other IDs	https://orcid.org/0000-0003-0131-7002
Affiliation (Current)	2025: 芝浦工業大学, システム理工学部, 教授
Affiliation (based on the past Project Information) *help	2023: 芝浦工業大学, システム理工学部, 教授 2016 – 2022: 芝浦工業大学, システム理工学部, 准教授 2016: 芝浦工業大学, システム理工学部, 助教 2014: 芝浦工業大学, システム理工学部, 助教 2011 – 2013: 東京理科大学, 理学部, 助教
Review Section/Research Field	Principal Investigator Basic Section 12040:Applied mathematics and statistics-related / Foundations of mathematics/Applied mathematics / Global analysis Except Principal Investigator Foundations of mathematics/Applied mathematics / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 保存量 / 超離散化 / 箱玉系 / 可積分系 / 固有値 / セルオートマトン / max-plus代数 / トロピカル代数 / min-plus代数 / 超離散可積分系 … More / totally nonnegative行列 / 離散ハングリー戸田方程式 / 離散戸田方程式 / 離散可積分系 / 離散力学系 / ベクトル値セルオートマトン / ファジーセルオートマトン / 双方向流 / 人流 / 2階2値3近傍セルオートマトン / アルゴリズム / max-plusウォーク / 量子ウォーク / ネットワーク / 最短経路問題 / Min-plus代数 / Max-plus代数 / 超離散バーガース方程式 / 超離散ハングリーロトカ・ボルテラ系 / 超離散ハングリー戸田方程式 / Kaczmarz法 / ダイクストラ法 / 相関付きランダムウォーク / 交通流モデル / グラフ理論 / 固有値計算 / 固有値問題 / 有向グラフ / Min-Plus代数 / Max-Plus代数 / 超離散ロトカ・ボルテラ系 / 超離散戸田方程式 / 誤差解析 / 中心多様体理論 / dqdsアルゴリズム / Totally Nonnegative行列 / Newtonシフト / 離散ハングリーロトカ・ボルテラ系 / 原点シフト / 収束次数 / 中心多様体 … More Except Principal Investigator 漸近展開 / Stride Reduction / Cyclic Reduction / ロトカ・ボルテラ系 / 可積分系 / 代数方程式 / Stride Reduction法 / リーシンメトリー / 病理モデル / 行列の固有値 / 相似変形 / 力学系 / Block cyclic reduction法 / 固有値問題 / MR3法 / Cyclic Reduction法 / M-行列 / 漸近解析 / min-plus固有多項式 / 逆固有値問題 / フィボナッチ数列 / 行列の帯構造 / 離散ハングリー可積分系 / 分割型ツイスト分解法 / dLVsアルゴリズム / 行列の相似変形 / 安定性 / 超離散化 / 数値計算 / 遅延微分方程式 / 数理生物モデル / 離散可積分系 / 差分方程式 Less

Analysis of discrete dynamical systems described by max-plus equations and their applicationsPrincipal Investigator
- Principal Investigator
  
  福田亜希子
- Project Period (FY)
  2023 – 2026
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Shibaura Institute of Technology
Development of linear solvers on max-plus algebra and its applicationsPrincipal Investigator
- Principal Investigator
  
  Fukuda Akiko
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12040:Applied mathematics and statistics-related
- Research Institution
  Shibaura Institute of Technology
Application of discrete and ultradiscrete integrable systems of hungry type to eigenvalue problemPrincipal Investigator
- Principal Investigator
  
  Fukuda Akiko
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Shibaura Institute of Technology
New developments of matrix similarity transformations derived from integrable systems
- Principal Investigator
  
  Iwasaki Masashi
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Foundations of mathematics/Applied mathematics
- Research Institution
  Kyoto Prefectural University
Acceleration and theoretical analysis of algorithms in terms of discrete integrable systems of hungry typePrincipal Investigator
- Principal Investigator
  
  FUKUDA Akiko
- Project Period (FY)
  2012 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Shibaura Institute of Technology
  Tokyo University of Science
Consideration on a kind of difference equations and differential equations with time delay
- Principal Investigator
  
  ISHIWATA Emiko
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tokyo University of Science

[Book] max-plus代数とその応用2022
- Author(s)
  Bernd Heidergott、Geert Jan Olsder、Jacob van der Woude、五島洋行、福田亜希子、渡邉扇之介
- Total Pages
  280
- Publisher
  森北出版
- ISBN
  9784627062016
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] A vector-valued cellular automaton model representing a one-dimensional pedestrian bi-directional flow2024
- Author(s)
  Ryoji Morisawa, Akiko Fukuda
- Journal Title
  
  SEATUC2024 IS Proceedings
  
  Volume: - Pages: 196-199
- Data Source
  KAKENHI-PROJECT-23K03238
[Journal Article] Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk2023
- Author(s)
  Fukuda Akiko、Segawa Etsuo、Watanabe Sennosuke
- Journal Title
  
  Journal of Difference Equations and Applications
  
  Volume: 29 Issue: 1 Pages: 84-101
- DOI
  10.1080/10236198.2023.2172969
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03616, KAKENHI-PROJECT-19K03624, KAKENHI-PROJECT-20K14367
[Journal Article] Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra2023
- Author(s)
  Kan Masafumi、Fukuda Akiko、Watanabe Sennosuke
- Journal Title
  
  Journal of Difference Equations and Applications
  
  Volume: 30 Issue: 2 Pages: 233-251
- DOI
  10.1080/10236198.2023.2277714
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Box and ball system with numbered boxes and balls2023
- Author(s)
  Yusaku Yamamoto, Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: B94 Pages: 21-36
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Convergence of Vector-Valued Fuzzy Cellular Automata with Weighted-Averaging Rules2023
- Author(s)
  Nishida Yuki、Yamasaki Koki、Watanabe Sennosuke、Fukuda Akiko、Watanabe Yoshihide
- Journal Title
  
  Lecture Notes in Computer Science
  
  Volume: 14152 Pages: 48-59
- DOI
  10.1007/978-3-031-42250-8_4
- ISBN
  9783031422492, 9783031422508
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K13964, KAKENHI-PROJECT-21K03359, KAKENHI-PROJECT-23K03238
[Journal Article] Discrete hungry integrable systems - 40 years from the Physica D paper by W.W. Symes2022
- Author(s)
  Masato Shinjo, Akiko Fukuda, Koichi Kondo, Yusaku Yamamoto, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
- Journal Title
  
  Physica D-Nonlinear Phenomena
  
  Volume: 439 Pages: 133422-133422
- DOI
  10.1016/j.physd.2022.133422
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03424, KAKENHI-PROJECT-19K03624, KAKENHI-PROJECT-22K19772, KAKENHI-PROJECT-21K13844, KAKENHI-PROJECT-19KK0255
[Journal Article] Traffic flow models with two kinds of vehicles in terms of the vector-valued cellular automata and their fuzzification2022
- Author(s)
  Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda, Yoshihide Watanabe
- Journal Title
  
  AIP Conference Proceedings
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Fuzzy cellular automata with complete number-conserving rule as traffic-flow models with bottleneck2022
- Author(s)
  Nishida Yuki、Watanabe Sennosuke、Fukuda Akiko、Yanagisawa Daichi
- Journal Title
  
  JSIAM Letters
  
  Volume: 14 Issue: 0 Pages: 143-146
- DOI
  10.14495/jsiaml.14.143
- ISSN
  1883-0609, 1883-0617
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03624, KAKENHI-PROJECT-23K21019
[Journal Article] Box and Ball System with Numbered Boxes2022
- Author(s)
  Yamamoto Yusaku, Fukuda Akiko, Kakizaki Sonomi, Ishiwata Emiko, Iwasaki Masashi, Nakamura Yoshimasa
- Journal Title
  
  Mathematical Physics, Analysis and Geometry
  
  Volume: 25 Issue: 2
- DOI
  10.1007/s11040-022-09425-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03624, KAKENHI-PROJECT-22K19772, KAKENHI-PROJECT-19KK0255
[Journal Article] Limit theorem of the max-plus walk2021
- Author(s)
  Sennosuke Watanabe, Akiko Fukuda, Etsuo Segawa, Iwao Sato
- Journal Title
  
  RIMS Kokyuroku Bessatsu
  
  Volume: －
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] 相関付きランダムウォークから導かれる連続・離散・超離散方程式2021
- Author(s)
  福田亜希子, 渡邉扇之介, 瀬川悦生
- Journal Title
  
  津田塾大学数学・計算機科学研究所所報
  
  Volume: 42
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Convergence acceleration of the shifted LR transformations for totally nonnegative Hessenberg matrices2020
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura,
- Journal Title
  
  Applications of Mathematics
  
  Volume: 65 Issue: 5 Pages: 677-702
- DOI
  10.21136/am.2020.0378-19
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-18K03424, KAKENHI-PROJECT-19K03624, KAKENHI-PROJECT-17K19966, KAKENHI-PROJECT-19KK0255
[Journal Article] A walk on max-plus algebra2020
- Author(s)
  Watanabe Sennosuke、Fukuda Akiko、Segawa Etsuo、Sato Iwao
- Journal Title
  
  Linear Algebra and its Applications
  
  Volume: 598 Pages: 29-48
- DOI
  10.1016/j.laa.2020.03.025
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03616, KAKENHI-PROJECT-19K03624, KAKENHI-PROJECT-20K14367
[Journal Article] Convergence acceleration of the shifted LR transformations for totally nonnegative Hessenberg matrices2020
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
- Journal Title
  
  Applications of Mathematics
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Ultradiscrete Lotka-Volterra system computes tropical eigenvalue of symmetric tridiagonal matrices2019
- Author(s)
  Fukuda Akiko、Watanabe Sennosuke、Hanaoka Ayumi、Iwasaki Masashi
- Journal Title
  
  Journal of Physics: Conference Series
  
  Volume: 1218 Issue: 1 Pages: 012015-012015
- DOI
  10.1088/1742-6596/1218/1/012015
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03624
[Journal Article] Ultradiscrete Lotka-Volterra system computes tropical eigenvalue of symmetric tridiagonal matrices2019
- Author(s)
  Akiko Fukuda, Sennosuke Watanabe, Ayumi Hanaoka, Masashi Iwasaki
- Journal Title
  
  IOP Conference Series
  
  Volume: accepted
- Data Source
  KAKENHI-PROJECT-16K21368
[Journal Article] Min-plus eigenvalue of tridiagonal matrices in terms of the ultradiscrete Toda equation2018
- Author(s)
  Watanabe Sennosuke、Fukuda Akiko、Shigitani Hitomi、Iwasaki Masashi
- Journal Title
  
  Journal of Physics A: Mathematical and Theoretical
  
  Volume: 51 Issue: 44 Pages: 444001-444001
- DOI
  10.1088/1751-8121/aae325
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K21368
[Journal Article] Periodic convergence in the discrete hungry Toda equation2018
- Author(s)
  You Takahashi, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yoshimasa Nakamura
- Journal Title
  
  Journal of Physics A-Mathematical and Theoretical
  
  Volume: 51 Issue: 34 Pages: 344001-344001
- DOI
  10.1088/1751-8121/aaccb5
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03424, KAKENHI-PROJECT-16K21368
[Journal Article] Monotonic convergence to eigenvalues of totally nonnegative matrices in an integrable variant of the discrete Lotka-Volterra system2017
- Author(s)
  Tobita Akihiko, Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
- Journal Title
  
  Lecture Notes in Computational Science and Engineering (LNCSE)
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K21368
[Journal Article] Computation of Eigenvectors for a Specially Structured Banded Matrix2017
- Author(s)
  Takeuchi Hiroshi, Aihara Kensuke, Fukuda Akiko, Ishiwata Emiko
- Journal Title
  
  Lecture Notes in Computational Science and Engineering
  
  Volume: 117 Pages: 143-155
- DOI
  10.1007/978-3-319-62426-6_10
- ISBN
  9783319624242, 9783319624266
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400212, KAKENHI-PROJECT-16K21368
[Journal Article] 箱と玉の両方に番号が付いた箱玉系について2017
- Author(s)
  福田亜希子，山本有作，岩崎雅史，石渡恵美子，中村佳正
- Journal Title
  
  九州大学応用力学研究所研究集会「非線形波動研究の深化と展開」研究集会報告
  
  Volume: -
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K21368
[Journal Article] Computation of eigenvectors for a specially structured banded matrix2017
- Author(s)
  Hiroshi Takeuchi, Kensuke Aihara, Akiko Fukuda, Emiko Ishiwata
- Journal Title
  
  Lecture Notes in Computational Science and Engineering (LNCSE)
  
  Volume: -
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-16K21368
[Journal Article] Monotonic convergence to eigenvalues of totally nonnegative matrices in an integrable variant of the discrete Lotka-Volterra system2017
- Author(s)
  Tobita Akihiko, Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
- Journal Title
  
  Lecture Notes in Computational Science and Engineering
  
  Volume: 117 Pages: 157-169
- DOI
  10.1007/978-3-319-62426-6_11
- ISBN
  9783319624242, 9783319624266
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K21368
[Journal Article] Monotonic convergence to eigenvalues of totally nonnegative matrices in an integrable variant of the discrete Lotka-Volterra system2017
- Author(s)
  Akihito Tobita, Akiko Fukuda, Emiko Ishiwata, Masashi Iwasaki, Yoshimasa Nakamura
- Journal Title
  
  Lect. Notes Comput. Sci. Eng.
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-26400208
[Journal Article] Conserved quantities of the integrable discrete hungry systems2015
- Author(s)
  Sonomi Kakizaki, Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata and Yoshimasa Nakamura
- Journal Title
  
  Disc. Cont. Dyn. Syst. S
  
  Volume: 8 Issue: 5 Pages: 889-899
- DOI
  10.3934/dcdss.2015.8.889
- NAID
  120005674655
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400208
[Journal Article] Conserved quantities of the integrable discrete hungry systems2015
- Author(s)
  Sonomi Kakizaki, Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
- Journal Title
  
  Discrete and Continuous Dynamical Systems - Series S
  
  Volume: 未定
- NAID
  120005674655
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740110
[Journal Article] 離散戸田方程式のある拡張に基づくTotally Nonnegative行列の固有値計算アルゴリズム2015
- Author(s)
  隅蔵亮, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Journal Title
  
  九州大学応用力学研究所研究集会「非線形波動研究の現状―課題と展望を探る」研究集会報告
  
  Volume: 26AO-S2
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24740110
[Journal Article] Eigenvalue computation of totally nonnegative upper Hessenberg matrices based on a variant of the discrete hungry Toda equation2015
- Author(s)
  Ryo Sumikura, Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto, Masashi Iwasaki, Yoshimasa Nakamura
- Journal Title
  
  AIP Conference Proceedings
  
  Volume: 1648 Pages: 690006-690006
- DOI
  10.1063/1.4912921
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740110, KAKENHI-PROJECT-26400208
[Journal Article] An asymptotic analysis for an integrable variant of the Lotka-Volterra prey--predator model via a determinant expansion technique2015
- Author(s)
  Masato Shinjo, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto and Yoshimasa Nakamura
- Journal Title
  
  Cogent Mathematics
  
  Volume: 印刷中 Issue: 1 Pages: 1046538-1046538
- DOI
  10.1080/23311835.2015.1046538
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400208, KAKENHI-PROJECT-15J00029
[Journal Article] 離散ハングリーロトカ・ボルテラ系に基づく非対称帯行列の全固有対の計算2015
- Author(s)
  竹内弘史, 相原研輔, 福田亜希子, 石渡恵美子
- Journal Title
  
  九州大学応用力学研究所研究集会「非線形波動研究の現状―課題と展望を探る」研究集会報告
  
  Volume: 未定
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24740110
[Journal Article] 箱に番号が付いた新しい箱玉系について2014
- Author(s)
  柿崎苑美, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Journal Title
  
  九州大学応用力学研究所研究集会報告
  
  Volume: 25AO-S2 Pages: 121-126
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] 箱に番号が付いた新しい箱玉系について2014
- Author(s)
  柿崎苑美, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Journal Title
  
  九州大学応用力学研究所研究集会報告
  
  Volume: 25AO-S2 Pages: 121-126
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] 箱に番号が付いた新しい箱玉系について2014
- Author(s)
  柿崎苑美，福田亜希子，石渡恵美子，山本有作，岩崎雅史，中村佳正
- Journal Title
  
  九州大学応用力学研究所研究集会「非線形波動研究の拡がり」研究集会報告
  
  Volume: 25AO-S2
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740110
[Journal Article] ある拡張型離散戸田方程式の漸近挙動について2013
- Author(s)
  飛田明彦，福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
- Journal Title
  
  九州大学応用力学研究所研究集会「非線形波動研究の最前線--構造と現象の多様性」研究集会報告
  
  Volume: 24AO-S3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740110
[Journal Article] ある拡張型離散戸田方程式の漸近挙動について2013
- Author(s)
  飛田明彦, 福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
- Journal Title
  
  非線形波動研究の最前線 -構造と現象の多様性-
  
  Volume: 24AO-S3 Pages: 150-155
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] ハングリー型の離散可積分系と非対称行列の固有値計算 -可積分アルゴリズムにおける最近の発展-2013
- Author(s)
  福田亜希子, 岩崎雅史, 山本有作, 石渡恵美子, 中村佳正
- Journal Title
  
  日本応用数理学会論文誌(サーベイ)
  
  Volume: Vol.23, No.1 Pages: 109-181
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] Integrable discrete hungry systems and their related matrix eigenvalues2013
- Author(s)
  Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto, Masashi Iwasaki, Yoshimasa Nakamura
- Journal Title
  
  Annali di Matematica Pura ed Applicata
  
  Volume: 192 Pages: 423-445
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] ある拡張型離散戸田方程式の漸近挙動について2013
- Author(s)
  飛田明彦, 福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
- Journal Title
  
  九州大学応用力学研究所研究集会報告　非線形波動研究の最前線 ―構造と現象の多様性―
  
  Volume: 24AO-S3 Pages: 150-155
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] Asymptotic analysis for an extended discrete Lotka-Volterra system related to matrix eigenvalues2013
- Author(s)
  You Takahashi, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yoshimasa Nakamura
- Journal Title
  
  Appl. Anal
  
  Volume: 92 Pages: 586-594
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] ハングリー型の離散可積分系と非対称行列の固有値計算 ―可積分アルゴリズムにおける最近の発展―2013
- Author(s)
  福田亜希子，岩崎雅史，山本有作，石渡恵美子，中村佳正
- Journal Title
  
  日本応用数理学会論文誌
  
  Volume: 23
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740110
[Journal Article] Asymptotic analysis for an extended discrete Lotka-Volterra system related to matrix eigenvalues2013
- Author(s)
  You Takahashi, Masashi Iwasaki, Akiko Fukuda, Emiko Ishiwata, Yoshimasa Nakamura
- Journal Title
  
  Appl. Anal.
  
  Volume: 92 Issue: 3 Pages: 586-594
- DOI
  10.1080/00036811.2011.631915
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163, KAKENHI-PROJECT-24740110
[Journal Article] Error analysis for matrix eigenvalue algorithm based on the discrete hungry Toda equation2012
- Author(s)
  A. Fukuda, Y. Yamamoto, M. Iwasaki, E. Ishiwata and Y. Nakamura
- Journal Title
  
  Numerical Algorithms
  
  Volume: 61 Issue: 2 Pages: 243-260
- DOI
  10.1007/s11075-012-9606-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21560065, KAKENHI-PROJECT-23240005, KAKENHI-PROJECT-23654032, KAKENHI-PROJECT-24740110, KAKENHI-PLANNED-22104004
[Journal Article] 中心多様体理論を用いた積型離散ハングリーロトカ・ボルテラ系の局所解析2012
- Author(s)
  飛田明彦，福田亜希子，石渡恵美子，岩崎雅史，中村佳正
- Journal Title
  
  九州大学応用力学研究所　研究集会報告
  
  Volume: 23AO-S7 Pages: 153-158
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] On some properties of a discrete hungry Lotka-Volterra system of multiplicative type2012
- Author(s)
  Y. Hama, A. Fukuda, Y. Yamamoto, M. Iwasaki, E. Ishiwata, Y. Nakamura
- Journal Title
  
  J. Math. Indust.
  
  Volume: 4 Pages: 5-15
- NAID
  40019493098
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] On some properties of a discrete hungry Lotka- Volterra system of multiplicative type2012
- Author(s)
  Yosuke Hama, Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
- Journal Title
  
  J. Math. Indust
  
  Volume: 4 Pages: 5-15
- NAID
  40019493098
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] 離散ハングリー戸田方程式に基づくTotally Nonnegative行列に対する固有値計算2012
- Author(s)
  福田亜希子，山本有作，岩崎雅史，石渡恵美子，中村佳正
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 1791
- Data Source
  KAKENHI-PROJECT-24740110
[Journal Article] シフト付きLR 変換に付随する離散ハングリー系について2012
- Author(s)
  濱洋輔, 福田亜希子, 山本有作, 岩崎雅史, 石渡恵美子, 中村佳正
- Journal Title
  
  非線形波動研究の進展-現象と数理の相互作用-
  
  Volume: 23AO-S7 Pages: 159-164
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] 中心多様体理論を用いた積型離散ハングリーロトカ・ボルテラ系の局所解析2012
- Author(s)
  飛田明彦, 福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
- Journal Title
  
  非線形波動研究の進展-現象と数理の相互作用-
  
  Volume: 23AO-S7 Pages: 153-158
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Journal Article] シフト付きLR変換に付随する離散ハングリー系について2012
- Author(s)
  濱洋輔，福田亜希子，石渡恵美子，岩崎雅史，山本有作，中村佳正
- Journal Title
  
  九州大学応用力学研究所　研究集会報告
  
  Volume: ２３AO-S7 Pages: 159-164
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] A vector-valued cellular automaton model representing a one-dimensional pedestrian bi-directional flow2024
- Author(s)
  Ryoji Morisawa, Akiko Fukuda
- Organizer
  The 18th South East Asian Technical University Consortium (SEATUC) Symposium 2024
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K03238
[Presentation] 粒子数保存する2階2値3近傍セルオートマトンの多項式表現2024
- Author(s)
  渡邉扇之介, 福田亜希子, 西田優樹, 松木平淳太
- Organizer
  日本応用数理学会第20回研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-23K03238
[Presentation] 1次元歩行者対向流を表す5値3近傍CAモデルとその基本図2023
- Author(s)
  森澤亮司, 福田亜希子
- Organizer
  研究集会「非線形波動から可積分系へ2023」
- Data Source
  KAKENHI-PROJECT-23K03238
[Presentation] 歩行者の双方向流を表す5値3近傍CA モデルとそのファジー化2023
- Author(s)
  森澤亮司, 福田亜希子
- Organizer
  第21回計算数学研究会
- Data Source
  KAKENHI-PROJECT-23K03238
[Presentation] 加法的保存量をもつ2階2値3近傍セルオートマトンについて2023
- Author(s)
  福田亜希子, 渡邉扇之介, 西田優樹, 松木平淳太
- Organizer
  研究集会「非線形波動から可積分系へ2023」, 富山県立大学射水キャンパス
- Data Source
  KAKENHI-PROJECT-23K03238
[Presentation] 超離散ハングリーロトカ・ボルテラ系と超離散ハングリー戸田方程式を用いたmin-plus代数上の固有値計算2022
- Author(s)
  齋藤元気, 福田亜希子, 渡邉扇之介
- Organizer
  第20回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散ハングリーロトカ・ボルテラ系と超離散ハングリー戸田方程式を用いたmin-plus代数上の固有値計算2022
- Author(s)
  齋藤元気, 福田亜希子, 渡邉扇之介
- Organizer
  日本応用数理学会2022年度年会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散ハングリーロトカ・ボルテラ系を用いたmax-plus代数上の帯行列の固有値計算2021
- Author(s)
  齋藤元気, 福田亜希子, 渡邉扇之介
- Organizer
  第19回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散可積分系と min-plus 代数上の固有値計算2021
- Author(s)
  福田亜希子
- Organizer
  スペクトラルグラフ理論および周辺領域第10回研究集会
- Invited
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 相関付きランダムウォークから導かれる超離散バーガースセルオートマトン2021
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生
- Organizer
  日本応用数理学会第17回研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] Traffic flow models with two kinds of vehicles in terms of the vector-valued cellular automata and their fuzzification2021
- Author(s)
  Yuki Nishida, Sennosuke Watanabe, Akiko Fukuda, Yoshihide Watanabe
- Organizer
  International Conference on Mathematics: Pure, Applied and Computation
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] Kaczmarz法の超離散化とmin-plus代数におけるダイクストラ法との対応2021
- Author(s)
  西山智也, 福田亜希子
- Organizer
  日本応用数理学会2021年度年会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] Randomized Kaczmarz法の超離散化とselective dioidにおけるダイクストラ法との対応2020
- Author(s)
  西山智也, 福田亜希子
- Organizer
  第18回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 相関付きランダムウォークから導かれる連続・離散・超離散方程式2020
- Author(s)
  福田亜希子, 瀬川悦生, 渡邉扇之介
- Organizer
  津田塾大学数学計算機科学研究所オンライン研究集会非線形波動から可積分系へ
- Invited
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 番号付き箱玉系におけるソーティングの条件と高速化2020
- Author(s)
  菅雅文, 福田亜希子
- Organizer
  第18回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 番号付き箱玉系のソーティング条件2020
- Author(s)
  菅雅文, 福田亜希子
- Organizer
  津田塾大学数学計算機科学研究所オンライン研究集会非線形波動から可積分系へ
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 量子ウォークのmax-plus類似とその性質2019
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生, 佐藤巌
- Organizer
  令和元年度九大応力研共同利用研究集会非線形波動研究の多様性
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 量子ウォーク・相関付きランダムウォーク・超離散化2019
- Author(s)
  瀬川悦生, 福田亜希子, 渡邉扇之介
- Organizer
  第17回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] Ultradiscrete integrable systems and eigenvalues over min-plus algebra2019
- Author(s)
  Akiko Fukuda
- Organizer
  The 3rd UOG-SIT Workshop in Pure/Applied Mathematics and Computer Science
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] 量子ウォークのmax-plus類似とその極限分布2019
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生, 佐藤巌
- Organizer
  第17回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] Computation of min-plus eigenvalues via ultradiscrete integrable systems2019
- Author(s)
  Akiko Fukuda, Sennosuke Watanabe, Masafumi Kan
- Organizer
  International Conference on Matrix Analysis and its Applications (MATTRIAD 2019)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散量子ウォークの保存量と定常状態2019
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生, 佐藤巌
- Organizer
  日本応用数理学会 2019年度年会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散ハングリー戸田方程式によるmin-plus代数上の固有値計算2019
- Author(s)
  菅雅文, 福田亜希子, 渡邉扇之介
- Organizer
  第17回計算数学研究会
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散ハングリー戸田方程式によるmin-plus代数上の固有値計算2019
- Author(s)
  菅雅文, 福田亜希子, 渡邉扇之介
- Organizer
  令和元年度九大応力研共同利用研究集会非線形波動研究の多様性
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] Max-plusウォーク～超離散版量子ウォークの構築～2019
- Author(s)
  渡邉扇之介, 福田亜希子, 瀬川悦生, 佐藤巌
- Organizer
  RIMS共同研究（公開型）可積分系数理の深化と展開
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] A min-plus analogue of the qd algorithm and its generalization2019
- Author(s)
  Akiko Fukuda, Sennosuke Watanabe, Masafumi Kan
- Organizer
  The 9th International Congress on Industrial and Applied Mathematics (ICIAM 2019)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03624
[Presentation] 超離散可積分系とMin-Plus 行列の固有値2019
- Author(s)
  福田亜希子
- Organizer
  津田塾大学数学・計算機科学研究所研究集会離散力学系と組合せ論
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] Ultradiscrete Lotka-Volterra system computes tropical eigenvalue of symmetric tridiagonal matrices2018
- Author(s)
  Akiko Fukuda, Sennosuke Watanabe, Ayumi Hanaoka, Masashi Iwasaki
- Organizer
  International Conference on Mathematics: Pure, Applied and Computation, Mathematics for Better Future Life
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] グレブナー基底を用いた黄金比に収束するファジーセルオートマトンの列挙2018
- Author(s)
  福田亜希子, 渡邉扇之介
- Organizer
  日本応用数理学会 2018年度年会
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] グラフの最大平均閉路重みを不変量とするmax-plus ウォーク2018
- Author(s)
  渡邉扇之介，福田亜希子，瀬川悦生，佐藤宏平，佐藤巌
- Organizer
  2018年度応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] Ultra-discrete analogue of the qd algorithm for min-plus tridiagonal matrix2018
- Author(s)
  Akiko Fukuda, Sennosuke Watanabe, Hitomi Shigitani, Masashi Iwasaki
- Organizer
  SIAM Conference on Applied Linear Algebra (SIAM-ALA18)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] Enumeration of fuzzy cellular automata with prescribed fixed point using Groebner basis2018
- Author(s)
  Akiko Fukuda, Sennosuke Watanabe
- Organizer
  Symmetries and Integrability of Difference Equations (SIDE13)
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] 超離散戸田方程式に基づくMin-Plus行列の固有値計算2017
- Author(s)
  渡邉扇之介, 福田亜希子, 鴫谷瞳, 岩崎雅史
- Organizer
  日本応用数理学会 2017年度年会
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] Integrable eigenvalue algorithms for totally nonnegative matrices2017
- Author(s)
  Akiko Fukuda
- Organizer
  International Conference on Matrix Analysis and its Applications
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] トロピカル3重対角行列の固有値を計算する超離散ロトカ・ボルテラ系2017
- Author(s)
  福田亜希子, 渡邉扇之介, 花岡歩, 岩崎雅史
- Organizer
  日本応用数理学会2018年研究部会連合発表会
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] 超離散戸田方程式に付随するMin-Plus 行列の固有多項式の根とグラフの閉路2017
- Author(s)
  渡邉扇之介, 福田亜希子
- Organizer
  2017年度応用数学合同研究集会
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] Discrete integrable systems related to eigenvalue algorithms2017
- Author(s)
  Akiko Fukuda
- Organizer
  The 1st UOG-SIT Research Workshop in Mathematics and Computer Science in Guam
- Place of Presentation
  University of Guam
- Year and Date
  2017-02-24
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] ある非対称帯行列の固有値を計算するqd型dhLVアルゴリズムの拡張2016
- Author(s)
  福田亜希子, 竹内弘史, 石渡恵美子
- Organizer
  研究会「応用解析研究会～可積分系から計算数学まで～」
- Place of Presentation
  旧桜宮公会堂
- Year and Date
  2016-05-19
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] Extensions of the qd algorithm for totally nonnegative matrices2016
- Author(s)
  Akiko Fukuda, Hiroshi Takeuchi, Kensuke Aihara and Emiko Ishiwata
- Organizer
  20th Conference of the International Linear Algebra Society (ILAS2016)
- Place of Presentation
  KU Leuven, Belgium
- Year and Date
  2016-07-11
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] 箱と玉の両方に番号が付いた箱玉系について2016
- Author(s)
  福田亜希子, 山本有作, 岩崎雅史, 石渡恵美子, 中村佳正
- Organizer
  平成28年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の深化と展開」
- Place of Presentation
  九州大学
- Year and Date
  2016-11-03
- Data Source
  KAKENHI-PROJECT-16K21368
[Presentation] totally nonnegative行列に対するシフト付きdhToda アルゴリズムとその収束次数について2014
- Author(s)
  福田亜希子, 山本有作, 岩崎雅史, 石渡恵美子, 中村佳正
- Organizer
  第43回数値解析シンポジウム
- Place of Presentation
  ホテル日航八重山
- Year and Date
  2014-06-13
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] 固有値計算のためのハングリー型可積分アルゴリズムについて2014
- Author(s)
  福田亜希子, 山本有作, 岩崎雅史, 石渡恵美子, 中村佳正
- Organizer
  日本応用数理学会2014 年度年会
- Place of Presentation
  政策研究大学院大学
- Year and Date
  2014-09-04
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] totally nonnegative行列に対するシフト付きdhLV アルゴリズムの収束性について2014
- Author(s)
  新庄雅斗, 岩崎雅史, 福田亜希子石渡恵美子, 山本有作, 中村佳正
- Organizer
  第43回数値解析シンポジウム
- Place of Presentation
  ホテル日航八重山
- Year and Date
  2014-06-13
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] An extension of the qd algorithm for totally nonnegative Hessenberg matrices2014
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
- Organizer
  International Workshop on Eigenvalue Problems : Algorithms; Software and Applications, in Petascale Computing (EPASA2014)
- Place of Presentation
  Tsukuba International Congress Center EPOCHAL TSUKUBA, Tsukuba-city, Japan
- Year and Date
  2014-05-09
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] Conserved quantities of the integrable discrete hungry Lotka-Volterra system2013
- Author(s)
  Sonomi Kakizaki, Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto, Masashi Iwasaki, Yoshimasa Nakamura
- Organizer
  Czech-Japanese Seminar in Applied Mathematics 2013 (CJS2013)
- Place of Presentation
  Meiji Univ. Nakano, Japan
- Year and Date
  2013-09-06
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] 玉に番号がついた箱玉系の保存量について2013
- Author(s)
  柿崎苑美, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Organizer
  日本応用数理学会2013年度年会ポスターセッション
- Place of Presentation
  国際会議場アクロス福岡
- Year and Date
  2013-09-10
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] totally nonnegative行列に対するdhTodaアルゴリズムのシフト戦略について2013
- Author(s)
  福田亜希子，山本有作，岩崎雅史，石渡恵美子，中村佳正
- Organizer
  日本応用数理学会 2013年研究部会連合発表会
- Place of Presentation
  東洋大学白山キャンパス
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] 積型離散ハングリーロトカ・ボルテラ系の漸近挙動について2012
- Author(s)
  飛田明彦，福田亜希子，石渡恵美子，岩崎雅史，中村佳正
- Organizer
  日本応用数理学会2012年度年会
- Place of Presentation
  稚内全日空ホテル
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] Accurate Eigenvalues of Totally Nonnegative Matrices by Means of the Discrete Hungry Toda Equation2012
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Emiko Ishiwata, Masashi Iwasaki and Yoshimasa Nakamura
- Organizer
  9th International Workshop on Accurate Solution of Eigenvalue Problems (IWASEP9)
- Place of Presentation
  Embassy Suites Napa Valley, CA, USA
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] totally nonnegativeな帯行列に対するqdアルゴリズムの拡張2012
- Author(s)
  福田亜希子，山本有作，岩崎雅史，石渡恵美子，中村佳正
- Organizer
  2012年度応用数学合同研究集会
- Place of Presentation
  龍谷大学瀬田キャンパス
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] ある拡張型離散戸田方程式の漸近挙動について2012
- Author(s)
  飛田明彦，福田亜希子，石渡恵美子，岩崎雅史，中村佳正
- Organizer
  平成24年度　九大応力研共同利用研究集会「非線形波動研究の最前線 ―構造と現象の多様性― 」
- Place of Presentation
  九州大学筑紫地区共通管理棟3F大会議室
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] ある拡張型離散戸田方程式の漸近挙動について2012
- Author(s)
  飛田明彦, 福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
- Organizer
  平成24年度　九州大学応用力学研究所　共同利用研究集会
- Place of Presentation
  九州大学筑紫地区共通管理棟３Ｆ
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] A generalization of the dqds algorithm for totally nonnegative matrices2012
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
- Organizer
  The 8th East Asia SIAM Conference (EASIAM 2012)
- Place of Presentation
  National Taiwan University, Taipei, Taiwan
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] 中心多様体理論を用いた離散ハングリー戸田方程式の局所解析2012
- Author(s)
  飛田明彦，福田亜希子，石渡恵美子，岩崎雅史，中村佳正
- Organizer
  2012年度応用数学合同研究集会
- Place of Presentation
  龍谷大学瀬田キャンパス
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] 積型離散ハングリー・ロトカボルテラ系の漸近挙動について2012
- Author(s)
  飛田明彦, 福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
- Organizer
  日本応用数理学会2012年度年会OS「応用可積分系」研究部会
- Place of Presentation
  稚内全日空ホテル
- Year and Date
  2012-08-29
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] Integrable discrete hungry systems and their related eigenvalue algorithms2012
- Author(s)
  Yoshimasa Nakamura, Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata
- Organizer
  SIDE 10 International Conference on Symmetries and Integrability of Difference Equations
- Place of Presentation
  Yin Feng Holiday Resort, Xikou, Ningbo, China
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] Application of integrable discrete hungry systems to nonsymmetric matrix eigenvalue algorithms2012
- Author(s)
  A. Fukuda, Y. Yamamoto, M. Iwasaki, E. Ishiwata, Y. Nakamura,
- Organizer
  Workshop on Methods and Applications of Industrial and Applied Mathematics
- Place of Presentation
  Maskawa Hall, Kyoto Univ., Kyoto
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] 中心多様体理論を用いた離散ハングリー戸田方程式の局所解析2012
- Author(s)
  飛田明彦, 福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
- Organizer
  日本数学会主催　応用数学合同研究集会
- Place of Presentation
  龍谷大学　瀬田キャンパス
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] 中心多様体理論を用いた離散ハングリー戸田方程式の局所解析2012
- Author(s)
  飛田明彦, 福田亜希子, 石渡恵美子, 岩崎雅史, 中村佳正
- Organizer
  日本数学会2012年度応用数学合同研究集会
- Place of Presentation
  龍谷大学瀬田キャンパス
- Year and Date
  2012-12-22
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] An application of the integrable discrete hungry Toda equation to the eigenvalue computation2011
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
- Organizer
  International Conference on Scientific Computing (SC2011)
- Place of Presentation
  Cagliari, Italy
- Year and Date
  2011-10-14
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] シフトを考慮したLR 変換に関連する離散ハングリー系について2011
- Author(s)
  濱洋輔, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Organizer
  日本応用数理学会平成23年度年会OS「応用可積分系」
- Place of Presentation
  同志社大学今出川キャンパス
- Year and Date
  2011-09-14
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] The eigenvalue algorithm in terms of the integrable discrete hungry Toda equation2011
- Author(s)
  Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto, Masashi Iwasaki, Yoshimasa Nakamura
- Organizer
  7th International Congress on Industrial and Applied Mathematics (ICIAM 2011)
- Place of Presentation
  Vancouver, Canada
- Year and Date
  2011-07-20
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] An application of the integrable discrete hungry Toda equation to the eigenvalue computation2011
- Author(s)
  A. Fukuda, Y. Yamamoto, M. Iwasaki, E. Ishiwata, Y. Nakamura
- Organizer
  International Conference on Scientific Computing (SC2011)
- Place of Presentation
  Cagliari, Sardinia, Italy
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] The eigenvalue algorithm in terms of the integrable discrete hungry Toda equation2011
- Author(s)
  A. Fukuda, E. Ishiwata, Y. Yamamoto, M. Iwasaki, Y. Nakamura
- Organizer
  7th International Congress on Industrial and Applied Mathematics (ICIAM2011)
- Place of Presentation
  Vancourver, Canada
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] 箱に番号が付いた新しい箱玉系について
- Author(s)
  柿崎苑美, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Organizer
  九大応用力学研究所共同利用研究集会「非線形波動研究の拡がり」ポスター講演
- Place of Presentation
  九州大学筑紫地区
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] An extension of the dqds algorithm for totally nonnegative matrices and the Newton shift
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
- Organizer
  18th Conference of the International Linear Algebra Society (ILAS2013)
- Place of Presentation
  Providence, Rhode Island, USA
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] 離散ハングリーロトカ・ボルテラ系に基づく非対称帯行列の全固有対の計算
- Author(s)
  竹内弘史, 相原研輔, 福田亜希子, 石渡恵美子
- Organizer
  平成26 年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の現状―課題と展望を探る―」
- Place of Presentation
  九州大学筑紫地区　筑紫ホール（C-Cube １階）
- Year and Date
  2014-10-30 – 2014-11-01
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] ある種の構造を持つ非対称帯行列に対する固有ベクトル計算
- Author(s)
  竹内弘史, 相原研輔, 福田亜希子, 石渡恵美子
- Organizer
  日本応用数理学会 2015年研究部会連合発表会「行列・固有値問題の解法とその応用」研究部会オーガナイズドセッション
- Place of Presentation
  明治大学中野キャンパス
- Year and Date
  2015-03-06 – 2015-03-07
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] 離散戸田方程式のある拡張に基づくTotally Nonnegative 行列の固有値計算アルゴリズム
- Author(s)
  隅蔵亮, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Organizer
  平成26 年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の現状―課題と展望を探る―」
- Place of Presentation
  九州大学筑紫地区　筑紫ホール（C-Cube １階）
- Year and Date
  2014-10-30 – 2014-11-01
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] Conserved quantities of the integrable discrete hungry Lotka-Volterra system
- Author(s)
  Sonomi Kakizaki, Akiko Fukuda, Emiko Ishiwata, Yusaku Yamamoto, Masashi Iwasaki, Yoshimasa Nakamura
- Organizer
  Czech-Japanese Seminar in Applied Mathematics 2013 (CJS2013)
- Place of Presentation
  明治大学中野キャンパス
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] totally nonnegative行列に対するシフト付きdhLVアルゴリズムの収束性について
- Author(s)
  新庄雅斗, 岩崎雅史, 福田亜希子, 石渡恵美子, 山本有作, 中村佳正
- Organizer
  第43回数値解析シンポジウム
- Place of Presentation
  ホテル日航八重山
- Year and Date
  2014-06-10 – 2014-06-13
- Data Source
  KAKENHI-PROJECT-26400208
[Presentation] 玉に番号が付いた箱玉系の保存量について
- Author(s)
  柿崎苑美, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Organizer
  日本応用数理学会2013年度年会
- Place of Presentation
  アクロス福岡
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] 玉に番号が付いた箱玉系の保存量について
- Author(s)
  柿崎苑美, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Organizer
  日本応用数理学会2013年度年会ポスターセッション
- Place of Presentation
  アクロス福岡
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] Conserved quantities of the integrable discrete hungry Lotka-Volterra system
- Author(s)
  Akiko Fukuda
- Organizer
  Czech-Japanese Seminar in Applied Mathematics 2013 (CJS2013)
- Place of Presentation
  Meiji University, NAKANO Campus, Tokyo, JAPAN
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] An extension of the box and ball system in terms of the discrete hungry integrable system
- Author(s)
  Akiko Fukuda, Sonomi, Kakizaki, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, and Yoshimasa Nakamura
- Organizer
  2nd Slovak-Japan Conference on Applied Mathematics 2014
- Place of Presentation
  Radzovce - Obrucna, Cerova vrchovina, Slovakia
- Year and Date
  2014-09-14 – 2014-09-18
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] 箱に番号が付いた新しい箱玉系について
- Author(s)
  柿崎苑美, 福田亜希子, 石渡恵美子, 山本有作, 岩崎雅史, 中村佳正
- Organizer
  平成25年度九州大学応用力学研究所共同利用研究集会「非線形波動研究の拡がり」
- Place of Presentation
  九州大学筑紫キャンパス
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] An extension of the qd algorithm for totally nonnegative Hessenberg matrices
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
- Organizer
  International Workshop on Eigenvalue Problems: Algorithms; Software and Applications, \\ & in Petascale Computing (EPASA2014), poster
- Place of Presentation
  エポカルつくば国際会議場
- Data Source
  KAKENHI-PROJECT-23540163
[Presentation] An extension of the qd algorithm for totally nonnegative Hessenberg matrices
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Masahi Iwasaki, Emiko Ishiwata, Yoshimasa Nakamura
- Organizer
  International Workshop on Eigenvalue Problems: Algorithms; Software and Applications, in Petascale Computing (EPASA2014)
- Place of Presentation
  Tsukuba International Congress Center EPOCHAL TSUKUBA, Tsukuba-city, Japan
- Data Source
  KAKENHI-PROJECT-24740110
[Presentation] An Extension of the dqds Algorithm for Totally Nonnegative Matrices and Its Convergence Rate
- Author(s)
  Akiko Fukuda, Yusaku Yamamoto, Masashi Iwasaki, Emiko Ishiwata, and Yoshimasa Nakamura
- Organizer
  East Asia Section of SIAM (EASIAM) 2014
- Place of Presentation
  Ambassador City Jomtien, Pattaya, Chonburi, Thailand
- Year and Date
  2014-06-23 – 2014-06-25
- Data Source
  KAKENHI-PROJECT-24740110

1. 渡邉扇之介 (80735316)

# of Collaborated Projects: 3 results

# of Collaborated Products: 33 results
2. ISHIWATA Emiko (30287958)

# of Collaborated Projects: 2 results

# of Collaborated Products: 39 results
3. Iwasaki Masashi (30397575)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
4. YAMAMOTO Yusaku (20362288)

# of Collaborated Projects: 1 results

# of Collaborated Products: 4 results
5. KONDO Koichi (30314397)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
6. SHINJO Masato

# of Collaborated Projects: 1 results

# of Collaborated Products: 2 results
7. 瀬川悦生

# of Collaborated Projects: 0 results

# of Collaborated Products: 2 results
8. 西田優樹

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

FUKUDA AKIKO 福田 亜希子

FUKUDA Akiko 福田 亜希子

Research Projects

Research Products

Co-Researchers

Analysis of discrete dynamical systems described by max-plus equations and their applicationsPrincipal Investigator

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Development of linear solvers on max-plus algebra and its applicationsPrincipal Investigator

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Application of discrete and ultradiscrete integrable systems of hungry type to eigenvalue problemPrincipal Investigator

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New developments of matrix similarity transformations derived from integrable systems

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Acceleration and theoretical analysis of algorithms in terms of discrete integrable systems of hungry typePrincipal Investigator

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Consideration on a kind of difference equations and differential equations with time delay

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[Book] max-plus代数とその応用2022

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[Journal Article] A vector-valued cellular automaton model representing a one-dimensional pedestrian bi-directional flow2024

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[Journal Article] Generalized discrete and ultradiscrete Burgers equations derived through the correlated random walk2023

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[Journal Article] Ultradiscrete hungry Toda equation and eigenvalues over min-plus algebra2023

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[Journal Article] Box and ball system with numbered boxes and balls2023

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[Journal Article] Convergence of Vector-Valued Fuzzy Cellular Automata with Weighted-Averaging Rules2023

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[Journal Article] Discrete hungry integrable systems - 40 years from the Physica D paper by W.W. Symes2022

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[Journal Article] Traffic flow models with two kinds of vehicles in terms of the vector-valued cellular automata and their fuzzification2022

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FUKUDA AKIKO 福田亜希子

FUKUDA Akiko 福田亜希子