CHIN Syoukun 陳小君

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 convergence analysis / 数値解法 / 最適制御問題 / numerical methods / 微分不可能 / 方程式 / 平滑化 / ニュートン法 / nonsmooth equations / smoothing methods … More Except Principal Investigator アルゴリズム / 数理計画 / 最適化 / 均衡モデル / 相補性問題 / 反復法 / 数理工学 / システム工学 / 不確実性 / ロバスト / 方程式の反復解法 / GMRES法 / SOR法 / SSOR法 / 大域収束定理 / Uzawa法 / Jacobi-Davidson法 / 非線形SOR型解法 / 非線形SSOR法 / SOR型D-K法 / 一般局所収束定理 / Iterative methods for salring equations / GMRES method / SOR method / SSOR method / Global convergence theorem / 有限差分法 / 有限要素法 / Shartley-Weller近似 / 超収束 / 境界値問題 / 伸長変換 / 非整合スキームの収束と加速 / 離散Green関数 / Shortley-Weller近似 / 非整合スキームの収束 / 超収束性 / 有限体積法 / 超収束現象 / Swartztrauber-Sweet公式 / finite difference method / finite element method / Shortley-Weller qpproximation / superconvergence / boundary value problem / stretching functions / inconsistent scheme / discrete Green's function / 変分不等式 / 並列アルゴリズム / Optimization / Equilibrium model / Algorithm / Mathematical programming / Complementarity problem / Variation inequality problem / Parallel algorithm / 凸最適化 / 相補正問題 / convex optimization / mathematical programming / algorithm / complementarity problem / iterative method / 数値解析 / 精度保証付き数値計算法 / 解の数値的検証 / 解の事後誤差評価 / 計算機援用証明 / Numerical analysis / Validated computation / Numerical verification / Computer assisted proof / H-行列 / 一般化優対角行列 / 最適値問題 / 精度保証 / 固有値問題 / accuracy / H-matrix / preconditioning / the iterative method / finite difference / the CG method / Kryllov su space method / NCP function Less

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

CHIN Syoukun 陳 小君

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Research Field

Research Institution

Methods for Robust Optimization and Related Problems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Robust numerical methods for nonlinear equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Synthetic approach for the development of computer assisted analysis from the numerical verification methods

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

The synthetic research for the basic iterative method for the non-diagonal dominant matrix.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on Convex Optimization and Related Problems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Numerical Methods for Nonsmooth EquationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Finite difference and finite element analysis for partial differential equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Smoothing Newton methods for nonsmooth equationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Synthesis, Analysis and Algorithms of Optimization and Equilibrium Systems

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Mathematical analysis of linear/nonlinear iterative algorithms including GMRES, SOR, etc.

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Author(s)

Journal Title

Data Source

[Journal Article] Robust solution of monotone stochastic linear complementarity problems2009

Author(s)

Journal Title

Data Source

[Journal Article] Stochastic $R_0$ matrix linear complementarity problems2007

Author(s)

CHIN Syoukun 陳小君