====== 飯塚 秀明の教育・研究情報 ====== [[.:|Go back]] ===== 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| ^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、[[intro:publications|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.//