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CHIN Syoukun  陳 小君

ORCIDConnect your ORCID iD *help
Researcher Number 70304251
Other IDs
Affiliation (based on the past Project Information) *help 2008: 弘前大, 理工学研究科, 教授
2002 – 2008: 弘前大学, 理工学部, 教授
1998 – 2001: 島根大学, 総合理工学部, 助教授
1998: 島根大学, 総合理学部, 助教授
Review Section/Research Field
Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics)
Except Principal Investigator
General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Engineering fundamentals / System engineering / Engineering fundamentals
Keywords
Principal Investigator
numerical methods / 最適制御問題 / 数値解法 / convergence analysis / compelementarity problems / verification methods / error analysis / finite difference approximation / optimal control / optimal interpolation … More / optimization method / expected value / H-matrix / P-matrix / stochastic LCP / complementarity problems / error bounds / numerical method / 球面デザイン / 相補性問題 / 数値検証 / 誤差解析 / 差分近似 / 最適制御 / 最適補間問題 / 最適化法 / numerical methods for diffeiential equations / optimization algorithm / optimal control problem / saddle problem / complementary problem / verification method / nonsmooth equation / 最適化 / Maryland大学 / Karlsruhe大学 / 滑らかでない / 非線形方程式 / 微分方程式数値解法 / 最適化アルゴリズム / 鞍点型問題 / 補償問題 / 精度保証付き解法 / 滑らかでない方程式 / Newton methods / smoothing methods / nonsmooth equations / ニュートン法 / 平滑化 / 方程式 / 微分不可能 … More
Except Principal Investigator
数理計画 / アルゴリズム / 反復法 / 相補性問題 / 均衡モデル / 最適化 / NCP function / Kryllov su space method / the CG method / finite difference / the iterative method / preconditioning / H-matrix / accuracy / 固有値問題 / 精度保証 / 最適値問題 / 一般化優対角行列 / H-行列 / Computer assisted proof / Numerical verification / Validated computation / Numerical analysis / 計算機援用証明 / 解の事後誤差評価 / 解の数値的検証 / 精度保証付き数値計算法 / 数値解析 / iterative method / complementarity problem / algorithm / mathematical programming / convex optimization / 相補正問題 / 凸最適化 / Parallel algorithm / Variation inequality problem / Complementarity problem / Mathematical programming / Algorithm / Equilibrium model / Optimization / 並列アルゴリズム / 変分不等式 / discrete Green's function / inconsistent scheme / stretching functions / boundary value problem / superconvergence / Shortley-Weller qpproximation / finite element method / finite difference method / Swartztrauber-Sweet公式 / 超収束現象 / 有限体積法 / 超収束性 / 非整合スキームの収束 / Shortley-Weller近似 / 離散Green関数 / 非整合スキームの収束と加速 / 伸長変換 / 境界値問題 / 超収束 / Shartley-Weller近似 / 有限要素法 / 有限差分法 / Global convergence theorem / SSOR method / SOR method / GMRES method / Iterative methods for salring equations / 一般局所収束定理 / SOR型D-K法 / 非線形SSOR法 / 非線形SOR型解法 / Jacobi-Davidson法 / Uzawa法 / 大域収束定理 / SSOR法 / SOR法 / GMRES法 / 方程式の反復解法 / ロバスト / 不確実性 / システム工学 / 数理工学 Less
  • Research Projects

    (11 results)
  • Research Products

    (39 results)
  • Co-Researchers

    (29 People)
  •  非線形方程式に対する大域的ニュートン型数値解法Principal Investigator

    • Principal Investigator
      陳 小君
    • Project Period (FY)
      2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hirosaki University
  •  Methods for Robust Optimization and Related Problems

    • Principal Investigator
      FUKUSHIMA Masao
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Engineering fundamentals
    • Research Institution
      Kyoto University
  •  Robust numerical methods for nonlinear equationsPrincipal Investigator

    • Principal Investigator
      CHEN Xiaohun
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hirosaki University
  •  Synthetic approach for the development of computer assisted analysis from the numerical verification methods

    • Principal Investigator
      NAKAO Mitsuhiro
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU UNIVERCITY
  •  The synthetic research for the basic iterative method for the non-diagonal dominant matrix.

    • Principal Investigator
      NIKI Hiroshi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Okayama University of Science
  •  Studies on Convex Optimization and Related Problems

    • Principal Investigator
      FUKUSHIMA Masao
    • Project Period (FY)
      2002 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Engineering fundamentals
    • Research Institution
      KYOTO UNIVERSITY
  •  Numerical Methods for Nonsmooth EquationsPrincipal Investigator

    • Principal Investigator
      CHEN Xiaojun
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Hirosaki University
  •  Finite difference and finite element analysis for partial differential equations

    • Principal Investigator
      YAMAMOTO Tetsuro
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ehime University
  •  Smoothing Newton methods for nonsmooth equationsPrincipal Investigator

    • Principal Investigator
      CHEN Xiaojun
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Shimane University
  •  Synthesis, Analysis and Algorithms of Optimization and Equilibrium Systems

    • Principal Investigator
      FUKUSHIMA Masao
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      System engineering
    • Research Institution
      KYOTO UNIVERSITY
  •  Mathematical analysis of linear/nonlinear iterative algorithms including GMRES, SOR, etc.

    • Principal Investigator
      YAMAMOTO Tetsuro
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Ehime University

All 2009 2007 2006 2005 2004 Other

All Journal Article

  • [Journal Article] Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization2009

    • Author(s)
      G.H. Lin, X. Chen and M. Fukushima
    • Journal Title

      Mathematical Programming Vol.116

      Pages: 343-368

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] Robust solution of monotone stochastic linear complementarity problems2009

    • Author(s)
      X. Chen, C. Zhang, M. Fukushima
    • Journal Title

      matical Programming Vol.117

      Pages: 51-80

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] Stochastic $R_0$ matrix linear complementarity problems2007

    • Author(s)
      H. Fang, X. Chen and M. Fukushima
    • Journal Title

      SIAM Journal on Optimization Vol.18

      Pages: 482-506

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] New restricted NCP functions and their applications to stochastic NCP and stochastic MPEC2007

    • Author(s)
      G.H. Lin, X. Chen and M. Fukushima
    • Journal Title

      Optimization Vol.56

      Pages: 641-653

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] Existence of solutions to systems of underdetermined equations and spherical designs2006

    • Author(s)
      X.Chen
    • Journal Title

      SIAM Journal on Numerical Analysis 44

      Pages: 2326-2341

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15204007
  • [Journal Article] Computation of error bounds for P-matrix linear complementarity problems2006

    • Author(s)
      X.Chen, S.Xiang
    • Journal Title

      Mathematical Programming 106

      Pages: 513-525

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Existence of solutions to systems of underdetermined equations and spherical designs2006

    • Author(s)
      X.Chen, R.Womersley
    • Journal Title

      SIAM Journal on Numerical Analysis 44(2006) 44

      Pages: 2326-2341

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Finite element surface fitting for bridge management2006

    • Author(s)
      X.Chen, T.Kimura
    • Journal Title

      International Journal of Information Technology and Decision Making 4

      Pages: 671-681

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Computation of error bounds for P-matrix linear complementarity problem2006

    • Author(s)
      X.Chen, S.Xiang
    • Journal Title

      Mathematical Programming 106

      Pages: 513-525

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Existence of solution to systems of underdetermined equations and spherical designs2006

    • Author(s)
      X.Chen, R.Womersley
    • Journal Title

      SIAM Journal on Numerical Analysis 44

      Pages: 2326-2341

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Computation of error bounds for P-matrix linear complementarity problem2006

    • Author(s)
      Xiaojun Chen, Shuhung Xiang
    • Journal Title

      Mathematical Programming, 106

      Pages: 513-525

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Computation of error bounds for P-matrix linear complementarity problem2006

    • Author(s)
      X.Chen
    • Journal Title

      Mathematical Programming 106

      Pages: 513-525

    • Data Source
      KAKENHI-PROJECT-15204007
  • [Journal Article] Existence of solutions to systems of underdetermined equations and spherical designs2006

    • Author(s)
      X.Chen, R.Womersley
    • Journal Title

      SIAM Journal on Numerical Analysis 44

      Pages: 2326-2341

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Finite element surface fitting for bridge management2006

    • Author(s)
      X.Chen, T.Kimura
    • Journal Title

      International Journal of Information Technology & Decision Making 4

      Pages: 671-681

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Expected residual minimization method for stochastic linear complementarity problems2005

    • Author(s)
      X. Chen and M. Fukushima
    • Journal Title

      Mathematics of Operations Research Vol.30

      Pages: 1022-1038

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] A smoothing implicit programming approach for solving a class of stochastic generalized semi-infinite programming problems2005

    • Author(s)
      C.Ling, X.Chen, M.Fukushima, L.Qi
    • Journal Title

      Pacific Journal of Optimization Vol.1,No.1

      Pages: 127-145

    • Data Source
      KAKENHI-PROJECT-14350046
  • [Journal Article] A smoothing implicit programming approach for solving a class of stochastic generalized semi-infinite programming problems2005

    • Author(s)
      C.Ling, X.Chen, M.Fukushima, L.Qi
    • Journal Title

      Pacific Journal of Optimization 1・1

      Pages: 127-145

    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] Finite Difference Smoothing Solution of Nonsmooth Constrained Optimal Control Problems2005

    • Author(s)
      Xiaojun Chen
    • Journal Title

      Numerical Functional Analysis and Optimization 26 26

      Pages: 49-68

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Finite Difference smoothing Solution of Non-smooth Constrained Optimal Control Problems.2005

    • Author(s)
      X.Chen
    • Journal Title

      Functional Analysis and Optimization vol.6

      Pages: 49-68

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540144
  • [Journal Article] A smoothing implicit programming approach for solving a class of stochastic generalized semi-infinite programming problems2005

    • Author(s)
      C. Ling, X. Chen, M. Fukushima, and L. Qi
    • Journal Title

      Pacific Journal of Optimization Vol.1

      Pages: 127-145

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] A smoothing implicit programming approach for solving a class of stochastic generalized semi-infinite programming problems2005

    • Author(s)
      C.Ling, X.Chen, M.Fukushima, L.Qi
    • Journal Title

      Pacific Journal of Optimization 1

      Pages: 127-145

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] A smoothing implicit programming approach for solving a class of stochastic generalized semi-infinite programming problems2005

    • Author(s)
      C.Ling, X.Chen, M.Fukushima, L.Qi
    • Journal Title

      Pacific Journal of Optimization 1

      Pages: 127-145

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14350046
  • [Journal Article] A smoothing implicit programming approach for solving a class of stochastic generalized semi-infinite programming problems.2005

    • Author(s)
      C.Ling, X.Chen, M.Fukushima, L.Qi
    • Journal Title

      Pacific.Journal of Optimization vol.1

      Pages: 127-145

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540144
  • [Journal Article] A smoothing implicit programming approach for solving a class of stochastic generalized semi-infinite programming problems2005

    • Author(s)
      C.Ling, X.Chen, M.Fukushima, L.Qi
    • Journal Title

      Pacific Journal of Optimization 1

      Pages: 127-145

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540144
  • [Journal Article] Finite Difference Smoothing Solution of Nonsmooth Constrained Optimal Control Problems2005

    • Author(s)
      Chen, X.
    • Journal Title

      Numerical Functional Analysis and Optimization 26

      Pages: 49-68

    • Data Source
      KAKENHI-PROJECT-15204007
  • [Journal Article] Finite Difference Smoothing Solution of Nonsmooth Constrained Optimal Control Problems2005

    • Author(s)
      X.Chen
    • Journal Title

      Functional Analysis and Optimization 26

      Pages: 49-68

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540144
  • [Journal Article] Expected Residual Minimization Method for Stochastic Linear Complementarity Problems,2005

    • Author(s)
      Xiaojun Chen, Masao Fukushima
    • Journal Title

      Mathematics of Operation Research 30

      Pages: 1022-1038

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Expected Residual Minimization Method for Stochastic Linear Complementarity Problems2005

    • Author(s)
      Chen, X.
    • Journal Title

      Mathematics of Operations Research 30

      Pages: 1022-1038

    • Data Source
      KAKENHI-PROJECT-15204007
  • [Journal Article] Expected residual minimization method for stochastic linear complementarity problems2005

    • Author(s)
      X.Chen, M.Fukushima
    • Journal Title

      Mathematics of Operations Research 30・4

      Pages: 1022-1038

    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] Expected Residual Minimization Method for Stochastic Linear Complementarity Problems2005

    • Author(s)
      X.Chen, M.Fukushima
    • Journal Title

      Mathematics of Operations Research 30

      Pages: 1022-1038

    • Data Source
      KAKENHI-PROJECT-15540144
  • [Journal Article] A smoothing method for a mathematical program with P-matrix linear complementarity constraints2004

    • Author(s)
      X.Chen, M.Fukushima
    • Journal Title

      Comp.Optim.Appl. 27

      Pages: 223-246

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] First order conditions for nonsmooth discretized constrained optimal control problems2004

    • Author(s)
      X.Chen
    • Journal Title

      SIAM J Control and Optimazation 42

      Pages: 2004-2015

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] A smoothing method for a mathematical program with P-matrix linear complementarity constraints2004

    • Author(s)
      X.Chen, M.Fukushima
    • Journal Title

      Computational Optimization and Applications 27

      Pages: 223-246

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14350046
  • [Journal Article] Robust solution of stochastic matrix linear complementarity problems

    • Author(s)
      X.Chen, C.Zhang, M.Fukushima
    • Journal Title

      Mathematical Programming (掲載決定)

    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] Finite Difference Smoothing Solution of Nonsmooth Constrained Optimal Control Problems

    • Author(s)
      X.Chen
    • Journal Title

      Numer.Funct.Anal.Optim. (in press)

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] A mixed R&D projects and securities portfolio selection model

    • Author(s)
      Y.Fang, L.H.Chen, M.Fukushima
    • Journal Title

      European Journal of Operational Research (掲載決定)

    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] Expected Residual Minimization Method for Stochastic Linear Complementarity Problems

    • Author(s)
      X.Chen, M.Fukushima
    • Journal Title

      Mathematics of Operations Research (in press)

    • Data Source
      KAKENHI-PROJECT-16540092
  • [Journal Article] Solving stochastic mathematical programs with equilibrium constraints via approximation and smoothing implicit programming with penalization

    • Author(s)
      G.H.Lin, X.Chen, M.Fukushima
    • Journal Title

      Mathematical Programming (掲載決定)

    • Data Source
      KAKENHI-PROJECT-17360042
  • [Journal Article] Stochastic $R_O$ matrix linear complementarity problems

    • Author(s)
      H.Fang, X.Chen, M.Fukushima
    • Journal Title

      SIAM Journal on Optimization (掲載決定)

    • Data Source
      KAKENHI-PROJECT-17360042
  • 1.  FUKUSHIMA Masao (30089114)
    # of Collaborated Projects: 6 results
    # of Collaborated Products: 19 results
  • 2.  YAMASHITA Nobuo (30293898)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 3.  YAMAMOTO Tetsuro (80034560)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 4.  TSUCHIYA Takuya (00163832)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 5.  FANG Qing (10243544)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 6.  TABATA Masahisa (30093272)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 7.  HAYASHI Shunsuke (20444482)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  OYANAGI Yoshio (60011673)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  YAMASAKI Maretsugu (70032935)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  SUGIE Jitsuro (40196720)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  FURUMOCHI Tetsuo (40039128)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  YAMAKAWA Eiki (20289333)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  KURATSUBO Shigehiko (50003512)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  KUROIWA Daishi (40284020)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  NAKAO Mitsuhiro (10136418)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  IMAI Hitoshi (80203298)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  NISHIDA Takaaki (70026110)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  NIKI Hiroshi (30068879)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  AWAMI Hideon (70098581)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  HAMAYA Yoshihiro (40228549)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  ABE Kuniyoshi (10311086)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  KOHNO Toshiyuki (90309534)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  KON Masamchi (50298379)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  大石 進一 (20139512)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  岡本 直孝 (00068909)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  榊原 道夫 (70215614)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  脇 克志 (30250591)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  QING Fang
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  CHEN Xiaojun
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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