飯塚 秀明の教育・研究情報

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最適化理論 (凸・非凸最適化), 不動点理論, ネットワーク資源割り当て, 機械学習

2013以降の研究業績は、研究業績等一覧 ページをご参照下さい。

• 2012
  1. H. Iiduka and I. Yamada: Computational Method for Solving a Stochastic Linear-Quadratic Control Problem Given an Unsolvable Stochastic Algebraic Riccati Equation, SIAM Journal on Control and Optimization, Vol. 50, No. 4, pp. 2173-2192, 2012.
  2. H. Iiduka: Iterative Algorithm for Triple-Hierarchical Constrained Nonconvex Optimization Problem and Its Application to Network Bandwidth Allocation, SIAM Journal on Optimization, Vol. 22, No. 3, pp. 862-878, 2012.
  3. H. Iiduka and Y. Narushima: Conjugate Gradient Methods Using Value of Objective Function for Unconstrained Optimization, Optimization Letters, Vol. 6, No. 5, pp. 941-955, 2012.
  4. H. Iiduka: Fixed Point Optimization Algorithm and Its Application to Power Control in CDMA Data Networks, Mathematical Programming, Vol. 133, No.1, pp. 227-242, 2012.
  5. H. Iiduka: Unicast Decentralized Algorithm for Solving Centralized Optimization Problems in Network Resource Allocation, Journal of Nonlinear and Convex Analysis, Vol. 13, No. 1, pp. 31-48, 2012.
  6. H. Iiduka: Fixed Point Optimization Algorithm and Its Application to Network Bandwidth Allocation, Journal of Computational and Applied Mathematics, Vol. 236, No. 7, pp. 1733-1742, 2012.
• 2011
  1. H. Iiduka: Decentralized Algorithm for Centralized Variational Inequalities in Network Resource Allocation, Journal of Optimization Theory and Applications, Vol. 151, No. 3, pp. 525-540, 2011.
  2. H. Iiduka and M. Uchida: Fixed Point Optimization Algorithms for Network Bandwidth Allocation Problems with Compoundable Constraints, IEEE Communications Letters, Vol. 15, No. 6, pp. 596-598, 2011.
  3. H. Iiduka: Iterative Algorithm for Solving Triple-hierarchical Constrained Optimization Problem, Journal of Optimization Theory and Applications, Vol. 148, No. 3, pp. 580-592, 2011.
  4. H. Iiduka: Three-term Conjugate Gradient Method for the Convex Optimization Problem over the Fixed Point Set of a Nonexpansive Mapping, Applied Mathematics and Computation, Vol. 217, No. 13, pp. 6315-6327, 2011.
• 2010
  1. H. Iiduka: A New Iterative Algorithm for the Variational Inequality Problem over the Fixed Point Set of a Firmly Nonexpansive Mapping, Optimization, Vol. 59, No. 6, pp. 873-885, 2010.
  2. H. Iiduka: On an Ergodic Iteration Method for the Convex Optimization Problem over the Fixed Point Set, Pacific Journal of Optimization, Vol. 6, No. 1, pp. 187-199, 2010.
• 2009
  1. H. Iiduka: Strong Convergence for an Iterative Method for the Triple-hierarchical Constrained Optimization Problem, Nonlinear Analysis: Theory, Methods & Applications, Vol. 71, No. 12, pp. 1292-1297, 2009.
  2. H. Iiduka and I. Yamada: A Subgradient-type Method for the Equilibrium Problem over the Fixed Point Set and its Applications, Optimization, Vol. 58, No. 2, pp. 251-261, 2009.
  3. H. Iiduka and I. Yamada: A Use of Conjugate Gradient Direction for the Convex Optimization Problem over the Fixed Point Set of a Nonexpansive Mapping, SIAM Journal on Optimization, Vol. 19, No. 4, pp. 1881-1893, 2009.
  4. H. Iiduka: Hybrid Conjugate Gradient Method for a Convex Optimization Problem over the Fixed-point Set of a Nonexpansive Mapping, Journal of Optimization Theory and Applications, Vol. 140, No. 3, pp. 463-475, 2009.
  5. H. Iiduka and I. Yamada: An Ergodic Algorithm for the Power-control Games for CDMA Data Networks, Journal of Mathematical Modelling and Algorithms, Vol. 8, No. 1, pp. 1-18, 2009.
• 2008-2004
  1. H. Iiduka and W. Takahashi: Weak Convergence of a Projection Algorithm for Variational Inequalities in a Banach Space, Journal of Mathematical Analysis and Applications, Vol. 339, No. 1, pp. 668-679, 2008.
  2. H. Iiduka and W. Takahashi: Strong Convergence Studied by a Hybrid Type Method for Monotone Operators in a Banach Space, Nonlinear Analysis: Theory, Methods & Applications, Vol. 68, No. 12, pp. 3679-3688, 2008.
  3. K. Aoyama, H. Iiduka, and W. Takahashi: Strong Convergence of Halpern's Sequence for Accretive Operators in a Banach Space, PanAmerican Mathematical Journal, Vol. 17, No. 3, pp. 75-89, 2007.
  4. K. Aoyama, H. Iiduka, and W. Takahashi: Weak Convergence of an Iterative Sequence for Accretive Operators in Banach Spaces, Fixed Point Theory and Applications, Volume 2006, Article ID 35390, 13 pages, 2006.
  5. H. Iiduka and W. Takahashi: Weak Convergence Theorems by Cesaro Means for Nonexpansive Mappings and Inverse-strongly-monotone Mappings, Journal of Nonlinear and Convex Analysis, Vol. 7, No. 1, pp. 105-113, 2006.
  6. H. Iiduka and W. Takahashi: Strong Convergence Theorem by a Hybrid Method for Nonlinear Mappings of Nonexpansive and Monotone Type and Applications, Advances in Nonlinear Variational Inequalities, Vol. 9, No. 1, pp. 1-10, 2006.
  7. H. Iiduka and W. Takahashi: Strong Convergence Theorems for Nonexpansive Mappings and Inverse-strongly Monotone Mappings, Nonlinear Analysis: Theory, Methods & Applications, Vol. 61, No. 3, pp. 341-350, 2005.
  8. H. Iiduka and W. Takahashi: Strong Convergence Theorems for Nonexpansive Nonself-mappings and Inverse-strongly Monotone Mappings, Journal of Convex Analysis, Vol. 11, No. 1, pp. 69-79, 2004.
  9. H. Iiduka, W. Takahashi, and M. Toyoda: Approximation of Solutions of Variational Inequalities for Monotone Mappings, PanAmerican Mathematical Journal, Vol. 14, No. 2, pp. 49-61, 2004.

1. 飯塚 秀明, 内田 真人: 不動点最適化手法とネットワーク資源割り当て問題への応用, 応用数理, Vol. 21, No. 3, pp. 6-21, 2011.

1. H. Iiduka: Projection Method for Variational Inequality Problems for Monotone Operators, Asian Conference on Nonlinear Analysis and Optimization (W. Takahashi Ed.), Yokohama Publishers, pp. 87-95, 2009.
2. H. Iiduka and W. Takahashi: Relations between Equations of Set-valued Operators and Equilibrium Problems, Nonlinear Analysis and Convex Analysis (W. Takahashi and T. Tanaka Eds.), Yokohama Publishers, pp. 163-172, 2007.
3. H. Iiduka and W. Takahashi: Strong and Weak Convergence Theorems by a Hybrid Steepest Descent Method in a Hilbert Space, Nonlinear Analysis and Convex Analysis (W. Takahashi and T. Tanaka Eds.), Yokohama Publishers, pp. 115-130, 2004.
4. H. Iiduka and W. Takahashi: Strong Convergence Theorems by a Hybrid Method for Nonexpansive Mappings and Inverse-strongly Monotone Mappings, Fixed Point Theory and Applications (J. G. Falset, E. L. Fuster, and B. Sims Eds.), Yokohama Publishers, pp. 81-94, 2004.

1. 飯塚 秀明, 内田 真人, 鶴 正人, 角田 邦真: マルチキャリアシステムに関する共役勾配方向を用いたProportional Fair スケジューラ, 第21回RAMP (Research Association of Mathematical Programming) シンポジウム, 松江くにびきメッセ, 2009.09.24-25.
2. 飯塚 秀明: Iterative Methods for Variational Inequality Problems over Fixed Point Sets, 東京工業大学グローバルCOE プログラム 計算世界観の深化と展開, CompView シンポジウム 2008, 東京工業大学, 2008.12.2-4, 2008.
3. H. Iiduka: Iterative Algorithms for the Hierarchical Optimization Problem, Fifth World Congress of Nonlinear Analysts (V. Lakshmikantham Ed.), Hyatt Grand Cypress Resort in Orlando, Florida, USA, July 2-9, 2008.