# Hideaki IIDUKA

Associate Professor, Department of Computer Science, Meiji University

My photo (LS) and tower made by my son

## Research Interest

Smooth convex optimization, Nonsmooth convex optimization, Smooth nonconvex optimization, Distributed optimization, Fixed point theory, Optimal control, Network resource allocation

Please see Research page for the details of the previously reported results. You can get the PDF files of our papers from Publications page!

## Publications in Refereed Journals

- 2013– Please see Publications page.
- 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.*

## Conference Proceedings

- 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.*

## Invited Talks

- H. Iiduka, M. Uchida, M. Tsuru, and K. Kakuda:
**Proportional Fair Scheduler Using Conjugate Gradient Directions in Multi-carrier System**,*The 21th RAMP (Research Association of Mathematical Programming) Symposium, Kunibiki Messe, Matue, Japan, September 24-25, 2009.* - H. Iiduka:
**Iterative Methods for Variational Inequality Problems over Fixed Point Sets**,*Tokyo Institute of Technology Global COE Program CompView Symposium 2008, Tokyo Institute of Technology, Tokyo, Japan, December 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.*

## Membership

- SIAM (Society for Industrial and Applied Mathematics)
- MOS (Mathematical Optimization Society)
- ORSJ (Operations Research Society of Japan)
- IEICE (Institute of Electronics, Information and Communication Engineers)
- MSJ (Mathematical Society of Japan)

## Reward and Punishment

- The 4th Research Encourage Award (ORSJ, Aug. 28, 2014)

## Program Committee

- International Symposium on Intelligent Informatics (2013–)
- The Workshop on Computational Optimization (2010–)
- The Workshop on Information Network Design (2009–)

## Editorial Board

- Editorial Board of Journal of Nonlinear Functional Analysis (2017–)
- Editorial Board of Pacific Journal of Optimization (2016–)
- Editorial Board of International Journal of Statistics: Advances in Theory and Applications (2016–2018)
- Editorial Board of Linear and Nonlinear Analysis (2015–)
- Editorial Board of Journal of Fixed Point Theory (2013–)
- Editorial Board of The Scientific World Journal (2013–2016)
- Editorial Board of Journal of Applied Mathematics and Computing (2013–)
- Editorial Board of Algorithm Letters (2012–)

## Education

- Ph.D., Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, 2005.

## Employment

- Research Associate, Department of Mathematical and Computing Sciences, Tokyo Institute of Technology (April, 2005–March, 2007)
- Research Fellow of the Japan Society for the Promotion of Science (PD), Communications and Integrated Systems, Tokyo Institute of Technology (April, 2007–September, 2008)
- Associate Professor, Network Design Research Center, Kyushu Institute of Technology (October, 2008–March, 2013)
- Associate Professor, Department of Computer Science, Meiji University (April, 2013–)