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Sekiguchi Yoshiyuki  関口 良行

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SEKIGUCHI Yoshiyuki  関口 良行

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Researcher Number 50434890
Other IDs
Affiliation (Current) 2025: 東京海洋大学, 学術研究院, 教授
Affiliation (based on the past Project Information) *help 2024: 東京海洋大学, 学術研究院, 教授
2016 – 2022: 東京海洋大学, 学術研究院, 准教授
2015: 東京海洋大学, その他部局等, 准教授
2012 – 2013: 東京海洋大学, 海洋科学技術研究科, 准教授
2008 – 2011: Tokyo University of Marine Science and Technology, 海洋工学部, 助教
2007: Kwansei Gakuin University, 理工学部, 契約助手
Review Section/Research Field
Principal Investigator
Basic Section 12040:Applied mathematics and statistics-related / General mathematics (including Probability theory/Statistical mathematics) / Foundations of mathematics/Applied mathematics
Keywords
Principal Investigator
最適化理論 / 凸代数幾何 / 射影幾何 / 半正定値計画問題 / アルゴリズム / 数理工学 / 解析学 / 関数解析学 / 変分解析 / グレブナー基底 … More / 交互射影法 / 半正定値計画 / 半生定値計画 / 凸解析 / 実代数幾何 / 最適化問題 / 代数幾何 / 関数解析 / Lyusternikの定理 / Metric regularity / 逆関数定理 / Variational Analysis / 非線形関数解析 Less
  • Research Projects

    (5 results)
  • Research Products

    (58 results)
  • Co-Researchers

    (1 People)
  •  Optimization algorithms and convex algebraic geometryPrincipal Investigator

    • Principal Investigator
      関口 良行
    • Project Period (FY)
      2024 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Tokyo University of Marine Science and Technology
  •  A study of manifolds of optimization problems via convex algebraic geometryPrincipal Investigator

    • Principal Investigator
      Sekiguchi Yoshiyuki
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Tokyo University of Marine Science and Technology
  •  Convex Algebraic Geometry and Optimization TheoryPrincipal Investigator

    • Principal Investigator
      Sekiguchi Yoshiyuki
    • Project Period (FY)
      2015 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Foundations of mathematics/Applied mathematics
    • Research Institution
      Tokyo University of Marine Science and Technology
  •  Reconstruction of variational analysis through industrial mathematicsPrincipal Investigator

    • Principal Investigator
      SEKIGUCHI Yoshiyuki
    • Project Period (FY)
      2010 – 2013
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo University of Marine Science and Technology
  •  Developments of inverse function theorems by variational analysis and applications to optimization problemsPrincipal Investigator

    • Principal Investigator
      SEKIGUCHI Yoshiyuki
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokyo University of Marine Science and Technology
      Kwansei Gakuin University

All 2023 2022 2021 2019 2017 2016 2015 2013 2012 2011 2010 2009 2008 2007 Other

All Journal Article Presentation Book

  • [Book] 世界標準MIT教科書 Python言語によるプログラミングイントロダクション第3版2023

    • Author(s)
      John V. Guttag、久保 幹雄、麻生 敏正、木村 泰紀、小林 和博、斉藤 佳鶴子、関口 良行、鄭 金花、並木 誠、兵藤 哲朗、藤原 洋志、古木 友子
    • Total Pages
      504
    • Publisher
      近代科学社
    • ISBN
      9784764906464
    • Data Source
      KAKENHI-PROJECT-19K03631
  • [Book] Advances in Mathematical Economics2015

    • Author(s)
      Yoshiyuki Sekiguchi
    • Total Pages
      10
    • Publisher
      Springer, Tokyo
    • Data Source
      KAKENHI-PROJECT-15K04993
  • [Journal Article] Exact Convergence Rates of Alternating Projections for Nontransversal Intersections2022

    • Author(s)
      Hiroyuki Ochiai, Yoshiyuki Sekiguchi, and Hayato Waki
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: ー Issue: 1 Pages: 57-83

    • DOI

      10.1007/s13160-023-00584-9

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-ORGANIZER-22H05104, KAKENHI-PROJECT-19K03631, KAKENHI-PROJECT-20K11696
  • [Journal Article] 交互射影法とイデアル論2022

    • Author(s)
      落合啓之,関口良行,脇隼人
    • Journal Title

      第34回RAMP数理最適化シンポジウム論文集,日本OR学会

      Volume: - Pages: 29-40

    • Data Source
      KAKENHI-PROJECT-19K03631
  • [Journal Article] Homogenized KKT Systems and Strict Feasibility of Semidefinite Programs2021

    • Author(s)
      Yoshiyuki Sekiguchi
    • Journal Title

      Proceedings of Nonlinear Analysis and Convex Analysis

      Volume: - Pages: 229-232

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03631
  • [Journal Article] Perturbation Analysis of Singular Semidefinite Programs and Its Applications to Control Problems2021

    • Author(s)
      Sekiguchi Yoshiyuki、Waki Hayato
    • Journal Title

      Journal of Optimization Theory and Applications

      Volume: 188 Issue: 1 Pages: 52-72

    • DOI

      10.1007/s10957-020-01780-0

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K03631, KAKENHI-PROJECT-20K11696
  • [Journal Article] Notes on optimality conditions using Newton diagrams and sums of squares2015

    • Author(s)
      Yoshiyuki Sekiguchi
    • Journal Title

      Serdica Mathematical Journal

      Volume: 41 Pages: 431-456

    • NAID

      120006648237

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-15K04993
  • [Journal Article] Real ideal and the duality of semidefinite programming for polynomial optimization2013

    • Author(s)
      Yoshiyuki Sekiguchi, Tomoyuki Takenawa and Hayato Waki
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 20 Issue: 2 Pages: 321-330

    • DOI

      10.1007/s13160-013-0104-6

    • NAID

      10031185311

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740056, KAKENHI-PROJECT-22740057
  • [Journal Article] Real ideal and the duality of semidefinite programming for polynomial optimization2013

    • Author(s)
      Y. Sekiguchi, T. Takenawa, H. Waki
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics

      Volume: 30 Pages: 321-330

    • NAID

      10031185311

    • Data Source
      KAKENHI-PROJECT-22740057
  • [Journal Article] An improved analysis of SRPT scheduling algorithm on the basis of functional optimization2012

    • Author(s)
      Hiroshi Fujiwara, Yoshiyuki Sekiguchi
    • Journal Title

      Information Processing Letters

      Volume: 112 Issue: 23 Pages: 911-915

    • DOI

      10.1016/j.ipl.2012.08.009

    • NAID

      120007100507

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740057, KAKENHI-PROJECT-23700014
  • [Journal Article] An improved analysis of SRPT scheduling algorithm on the basis of functional optimization2012

    • Author(s)
      H. Fujiwara, Y. Sekiguchi
    • Journal Title

      Information Processing Letters

      Volume: 112 Pages: 911-915

    • NAID

      120007100507

    • Data Source
      KAKENHI-PROJECT-22740057
  • [Journal Article] Average-case competitive analyses for one-way trading2011

    • Author(s)
      H. Fujiwara, K. Iwama, Y. Sekiguchi
    • Journal Title

      Journal of Combinatorial Optimization

      Volume: 21 Pages: 83-107

    • NAID

      120007100508

    • Data Source
      KAKENHI-PROJECT-22740057
  • [Journal Article] Average-Case Competitive Analyses for One-Way Trading2011

    • Author(s)
      H.Fujiwara, K.Iwama, Y.Sekiguchi
    • Journal Title

      Journal of Combinatorial Optimization

      Volume: Vol.21 Pages: 83-107

    • NAID

      120007100508

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Journal Article] Exact estimates of the regularity modulus for infinite programming2010

    • Author(s)
      Y. Sekiguchi
    • Journal Title

      Mathematical Programming

      Volume: 123 Pages: 253-263

    • Data Source
      KAKENHI-PROJECT-22740057
  • [Journal Article] Exact estimates of the regularity modulus for infinite programming2010

    • Author(s)
      Y.Sekiguchi
    • Journal Title

      Mathematical Programming 123

      Pages: 253-263

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Exact estimates of the regularity modulus for infinite programming2010

    • Author(s)
      Y. Sekiguchi
    • Journal Title

      Mathematical Programming Vol.123

      Pages: 253-263

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Regularity estimates for convex multifunction's2009

    • Author(s)
      A.D. Ioffe, Y. Sekiguchi
    • Journal Title

      Mathematical Programming Vol.117

      Pages: 255-270

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Regularity estimates for convex multifunctions2009

    • Author(s)
      A. D. Ioffe, Y. Sekiguchi
    • Journal Title

      Mathematical Programming 117

      Pages: 255-270

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Regularity analysis of semi-infinite programming by a genearl estimates2009

    • Author(s)
      Y. Sekiguchi, W. Takahashi
    • Journal Title

      Proceedings of the 5th International Conference on Nonlinear Analysis and Convex Analysis

      Pages: 181-192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Regularity analysis of semi-infinite programming by a general estimates2009

    • Author(s)
      Y. Sekiguchi, W. Takahashi
    • Journal Title

      Proc. 5th International Conference on Nonlinear Analysis and Convex Analysis

      Pages: 181-192

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Average-Case Competitive Analysis for One-Way Trading2008

    • Author(s)
      H. Fujiwara, K. Iwiama, Y. Sekiguchi
    • Journal Title

      Lecture Notes in Computer Science 5092

      Pages: 41-51

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Average-Case Competitive Analyses for One-Way Trading2008

    • Author(s)
      H. Fujiwara, K. Iwama, Y. Sekiguchi
    • Journal Title

      The 14th Annual International Computing and Combinatorics Conference (COCOON08) (to appear)

    • NAID

      120007100508

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Average-Case Competitive Analyses for One-Way Trading2008

    • Author(s)
      H. Fujiwara, K. Iwama, Y. Sekiguchi
    • Journal Title

      Lecture Notes in Computer Sciences Vol.5092

      Pages: 41-51

    • NAID

      120007100508

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Exact formulae for regularity estimates2007

    • Author(s)
      A.D. Ioffe, Y. Sekiguchi
    • Journal Title

      Proc. 4th International Conference on Nonlinear Analysis and Convex Analysis

      Pages: 185-198

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] On regularity of constraint systems with continuous operator2007

    • Author(s)
      Y. Sekiguchi, W. Takahashi
    • Journal Title

      Journal of Nonlinear and Convex Analysis Vol.8

      Pages: 357-366

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] On regularity of constraint systems with continuous operator2007

    • Author(s)
      Y. Sekiguchi, W. Takahashi
    • Journal Title

      Journal of Nonlinear and Convex Analysis 8

      Pages: 357-366

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Exact formulae for regularity estimates2007

    • Author(s)
      A.D.Ioffe, Y. Sekiguchi
    • Journal Title

      Proceedings of the 4th International Conference on Nonlinear Analysis and Convex Analysis

      Pages: 185-198

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Average-Case competitive Analyses for One-Way Trading

    • Author(s)
      H. Fujiwara, K. Iwama, Y. Sekiguchi
    • Journal Title

      Journal of Combinatorial Optimization (in press)

    • NAID

      120007100508

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Journal Article] Average-case competitive analyses for one-way trading

    • Author(s)
      H.Fujiwara, K.Iwama, Y.Sekiguchi
    • Journal Title

      Journal of Combinatorial Optimization (In press)

    • NAID

      120007100508

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] 交互射影法の厳密収束レート2023

    • Author(s)
      関口良行
    • Organizer
      最適化: モデリングとアルゴリズム
    • Data Source
      KAKENHI-PROJECT-19K03631
  • [Presentation] 交互射影法とイデアル論2022

    • Author(s)
      関口良行
    • Organizer
      日本オペレーションズ学会 RAMP シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K03631
  • [Presentation] Projective geometry and continuity of semidefinite programming2021

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      SIAM Conference on Applied Algebraic Geometry
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03631
  • [Presentation] Perturbation Analysis of Singular Semidefinite Programs via Optimization Theory and Projective Geometry2019

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      Recent Development in Optimization III
    • Data Source
      KAKENHI-PROJECT-19K03631
  • [Presentation] Perturbation Analysis of Semidefinite Programs2019

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      NACA-ICOTA 2019
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K03631
  • [Presentation] Perturbation Analysis of Singular Semidefinite Programming via the Facial Reduction2017

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      SIAM Conference on Optimization
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04993
  • [Presentation] Perturbation analysis for singular semidefinite programming2017

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      Research Seminar on Discrete Mathematics, Geometry and Optimization
    • Place of Presentation
      University of Frankfurt
    • Year and Date
      2017-01-31
    • Invited
    • Data Source
      KAKENHI-PROJECT-15K04993
  • [Presentation] Perturbation analysis for singular semidefinite programming2016

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      Research Seminar on Real Geometry and Algebra
    • Place of Presentation
      University of Konstanz
    • Year and Date
      2016-04-22
    • Data Source
      KAKENHI-PROJECT-15K04993
  • [Presentation] Optimality conditions using Newton diagrams and sums of squares2015

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      SIAM Conference on Applied Algebraic Geometry 15
    • Place of Presentation
      Deajeon, Korea
    • Year and Date
      2015-08-04
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-15K04993
  • [Presentation] 凸代数幾何 と最適化理論2012

    • Author(s)
      関口 良行
    • Organizer
      Mathematical Economics Monday Seminar in Keio University
    • Place of Presentation
      慶應大学
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Presentation] 凸代数幾何と最適化理論2012

    • Author(s)
      関口良行
    • Organizer
      Mathematical Economics Monday Seminar in Keio University
    • Place of Presentation
      東京
    • Year and Date
      2012-04-16
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Presentation] Real ideal and duality of polynomial optimization2012

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      Young Researcher's session at Mathematics, Algorithms and Proofs 2012
    • Place of Presentation
      University of Konstanz, Germany
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Presentation] Real ideal and duality, Mathematics, Algorithms and Proofs 20122012

    • Author(s)
      Y. Sekiguchi
    • Organizer
      Young researcher's session
    • Place of Presentation
      Konstanz, Germany
    • Year and Date
      2012-09-18
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Presentation] Real ideal and duality related to polynomial optimization, Optimization : theory2011

    • Author(s)
      Y. Sekiguchi
    • Organizer
      algorithms and applications in economics
    • Place of Presentation
      Barcelona
    • Year and Date
      2011-10-27
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Presentation] Real ideal and duality related to polynomial optimization2011

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      Optimization : theory, algorithms and applications in economics
    • Place of Presentation
      Barcelona, Spain
    • Year and Date
      2011-10-27
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Presentation] Real ideal and duality related to polynomial optimization2010

    • Author(s)
      Y. Sekiguchi
    • Organizer
      Mathematical Economics Monday Seminar in Keio University
    • Place of Presentation
      東京
    • Year and Date
      2010-04-19
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Presentation] 無限次元変分解析の理論とオンライン アルゴリズムにおける応用例2010

    • Author(s)
      関口良行
    • Organizer
      Ramp シンポジウム
    • Place of Presentation
      名古屋
    • Year and Date
      2010-10-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Presentation] 無限次元変分解析の理論とオンラインアルゴリズムにおける応用例2010

    • Author(s)
      関口良行
    • Organizer
      Rampシンポジウム
    • Place of Presentation
      名古屋大学(愛知県)
    • Year and Date
      2010-10-29
    • Data Source
      KAKENHI-PROJECT-22740057
  • [Presentation] Metric regularity and Convexity2009

    • Author(s)
      Y.Sekiguchi
    • Organizer
      20^<th> International Symposium on Mathematical Programming
    • Place of Presentation
      Gleacher center, The University of Chicago
    • Year and Date
      2009-08-24
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Real ideal and duality related to polynomial optimization2009

    • Author(s)
      Y. Sekiguchi
    • Organizer
      The Sixth International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      東京工業大学, 東京
    • Year and Date
      2009-03-28
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Real ideal and duality related to polynomial optimization2009

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      The 6^<th> International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      東京工業大学, 東京
    • Year and Date
      2009-03-28
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Metric regularity and Convexity2009

    • Author(s)
      Y. Sekiguchi
    • Organizer
      20th International Symposium on Mathematical Programming
    • Place of Presentation
      Gleacher center, The University of Chicago, USA
    • Year and Date
      2009-08-24
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Regularity analysis with convexity2008

    • Author(s)
      Y. Sekiguchi
    • Organizer
      World Congress of Nonlinear Analysts
    • Place of Presentation
      Hyatt Grand Cypress Florida, USA
    • Year and Date
      2008-07-07
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Variational methods for currency trading problems2008

    • Author(s)
      Y. Sekiguchi
    • Organizer
      Asian Conference on Nonlinear Analysis and Optimization
    • Place of Presentation
      くにびきメッセ, 松江
    • Year and Date
      2008-09-15
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Regularity Analysis with Convexity2008

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      World Congress of Nonlinear Analysts
    • Place of Presentation
      Hyatt Grand Cypress, Florida, USA
    • Year and Date
      2008-07-07
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Modulus of metric regularity of convex mappings2007

    • Author(s)
      Y. Sekiguchi
    • Organizer
      Second Mathematical Programming Society International Conference on Continuous Optimization
    • Place of Presentation
      MaMaster University, Canada
    • Year and Date
      2007-08-13
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Modulus of metric regularity of convex mappings2007

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      Second Mathematical Programming Society International Conference on Continuous Optimization
    • Place of Presentation
      McMaster University, Canada
    • Year and Date
      2007-08-13
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Regularity analysis on set-valued mappings with closed convex graphs2007

    • Author(s)
      Yoshiyuki Sekiguchi
    • Organizer
      The Fifth International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      国立精華大学,台湾
    • Year and Date
      2007-06-03
    • Data Source
      KAKENHI-PROJECT-19740059
  • [Presentation] Regularity analysis on set-valued mappings with closed convex graphs2007

    • Author(s)
      Y. Sekiguchi
    • Organizer
      The Fifth International Conference on Nonlinear Analysis and Convex Analysis
    • Place of Presentation
      国立精華大学, 台湾
    • Year and Date
      2007-06-03
    • Data Source
      KAKENHI-PROJECT-19740059
  • 1.  WAKI Hayato
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    # of Collaborated Products: 1 results

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