飯塚 秀明の教育・研究情報
担当授業 (2024年度)
春学期 | ゼミナール1, 離散数学1, 最適化論, 特別講義1, 卒業研究1, 連続最適化特論, 情報基礎研究1, 情報基礎研究3 |
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秋学期 | 離散数学2, 特別講義2, ゼミナール2, 卒業研究2, 情報基礎研究2, 情報基礎研究4 |
研究分野
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
レフェリー付き原著論文
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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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
- 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.
- 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
- 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.
- 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.
- 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.
- 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.
- 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
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
解説論文
- 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.
プロシーディングス
- 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.
- 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.
- 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.
- 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.
招待講演
- 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.
- 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.
- 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.