Inexact quasi–Newton methods for sparse systems of nonlinear equations
Future Generation Computer Systems - I. High Performance Numerical Methods and Applications. II. Performance Data Mining: Automated Diagnosis, Adaption, and Optimization
Future Generation Computer Systems - Special issue: Modeling and simulation in supercomputing and telecommunications
On a new class of splitting type iterative methods
Future Generation Computer Systems - Special issue: Selected numerical algorithms
Subcarrier Allocation and Bit Loading Algorithms for OFDMA-Based Wireless Networks
IEEE Transactions on Mobile Computing
OFDMA for Broadband Wireless Access (Artech House Mobile Communications)
OFDMA for Broadband Wireless Access (Artech House Mobile Communications)
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Opportunistic Scheduling for Heterogeneous Services in Downlink OFDMA System
CMC '09 Proceedings of the 2009 WRI International Conference on Communications and Mobile Computing - Volume 01
Solution of systems of nonlinear equations -- a semi-implicit approach
Applied Numerical Mathematics
Design and analysis of delay-sensitive cross-layer OFDMA systems with outdated CSIT
IEEE Transactions on Wireless Communications
Cross-layer design for single-cell OFDMA systems with heterogeneous QoS and partial CSIT
WCNC'09 Proceedings of the 2009 IEEE conference on Wireless Communications & Networking Conference
Cross-layer optimization for OFDM wireless networks-part I: theoretical framework
IEEE Transactions on Wireless Communications
Rate-maximizing power allocation in OFDM based on partial channel knowledge
IEEE Transactions on Wireless Communications
Adaptive resource allocation in multiuser OFDM systems with proportional rate constraints
IEEE Transactions on Wireless Communications
Wireless communications: past events and a future perspective
IEEE Communications Magazine - Part Anniversary
Multiuser OFDM with adaptive subcarrier, bit, and power allocation
IEEE Journal on Selected Areas in Communications
Transmit power adaptation for multiuser OFDM systems
IEEE Journal on Selected Areas in Communications
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One key issue in cross-layer optimization techniques for next-generation multi-user orthogonal frequency division multiple access (OFDMA)-based broadband wireless network systems lies in the implementation methods of optimal resource scheduling. In the literature the optimal solutions are derived either through dynamic programming (referred to as a purely numerical approach) or via mathematical analysis (referred to as an analytical approach). When the latter approach is adopted, an additional iterative process is usually needed for the final optimal solution to be obtained. This paper presents a first in-depth comparative study on the implementation performance between the analytical and the numerical techniques. For this purpose, various popular iterative methods and numerical methods are investigated in our study. Several performance metrics (e.g., achieved overall data rate, absolute approximation error, and computational time) are utilized for comparison. Our simulation results demonstrate clearly that the analytical approaches indeed outperform the numerical ones. Furthermore, regarding different iterative methods, it is shown that the semi-implicit root (SIR) mechanism performs best in terms of the convergence rate, the root-finding accuracy, and the computational time.