General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces by Peichao Duan, Aihong Wang

“…We propose an implicit iterative scheme and an explicit iterative scheme for finding a common element of the set of fixed point of infinitely many strict pseudocontractive mappings and the set of solutions of an equilibrium problem by the general iterative methods. …”
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Iterative rake equalization method for low-complexity OTSM in high-speed mobile environment by Guojun LI, Kun LONG, Changrong YE, Jiawen LIANG

“…Aiming at the problems of poor anti-noise performance and high computational complexity of the existing orthogonal time sequency multiplexing (OTSM) equalization methods, a low-complexity iterative rake equalizer based on maximum ratio combining (MRC) was proposed.The main idea was to use MRC to iteratively extract and coherently combine the received multipath components of the transmitted symbols in the delay-time domain to improve the signal-to-noise ratio of the combined signal.In order to speed up the convergence of the MRC iterative algorithm, a single-tap time-frequency equalizer was designed to provide an initial estimate, and then combined with an external error correction code to further improve the bit error performance.The simulation results show that the performance of the iterative rake equalizer based on MRC is significantly better than that of the LMMSE linear equalizer, and the performance and computational complexity are greatly improved compared with the currently widely used Gauss-Seidel (GS) iterative equalizer.…”
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On New Picard-Mann Iterative Approximations with Mixed Errors for Implicit Midpoint Rule and Applications by Teng-fei Li, Heng-you Lan

“…Further, some numerical examples and applications to optimal control problems with elliptic boundary value constraints are considered via the new Picard-Mann iterative approximations, which shows that the new Picard-Mann iteration process with mixed errors for the implicit midpoint rule of nonexpansive mappings is brand new and more effective than other related iterative processes.…”
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Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order by Asma Ali Elbeleze, Adem Kılıçman, Bachok M. Taib

“…We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. …”
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Reliability Estimation of Dependence Structure System For Huang-Kotz Iterated FGM With Lindley Marginal by Anusha James, Navin Chandra, Filippo Domma

“…In this problem, we develop an iterated FGM (IFGM) based dependent stress-strength reliability model using Lindley marginals. …”
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MIMO Self-Encoded Spread Spectrum with Iterative Detection over Rayleigh Fading Channels by Shichuan Ma, Lim Nguyen, Won Mee Jang, Yaoqing (Lamar) Yang

“…Orthogonal space-time block-coded MIMO technique is employed to achieve spatial diversity, and the inherent temporal diversity in SESS modulation is exploited with iterative detection. Simulation results demonstrate that MIMO-SESS can effectively mitigate the channel fading effect such that the system can achieve a bit error rate of 10−4 with very low signal-to-noise ratio, from 3.3 dB for a 2×2 antenna configuration to just less than 0 dB for a 4×2 configuration under Rayleigh fading. …”
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Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay by Brajesh Kumar Singh, Pramod Kumar

“…This paper deals with an alternative approximate analytic solution to time fractional partial differential equations (TFPDEs) with proportional delay, obtained by using fractional variational iteration method, where the fractional derivative is taken in Caputo sense. …”
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Fatigue Analysis of a Light Truck Rear Axle Based on Virtual Iteration Method by Donglong Zhou, Jianlong Chang

“…Taking the road test signals as the iterative target and the vehicle MBD model as the iterative carrier, the vehicle equivalent excitation is obtained by using the VIM (virtual iteration method). …”
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Analysis of Nonlinear Vibration of Hard Coating Thin Plate by Finite Element Iteration Method by Hui Li, Liu Ying, Wei Sun

“…This paper studies nonlinear vibration mechanism of hard coating thin plate based on macroscopic vibration theory and proposes finite element iteration method (FEIM) to theoretically calculate its nature frequency and vibration response. …”
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Convergence for a Fixed Point of Evolution Families in Banach Space via Iterative Process by Musharaf Shah, Gul Rahmat, Syed Inayat Ali Shah, Ebenezer Bonyah, Zahir Shah, Meshal Shutaywi

“…In this paper, we present the convergence of Krasnoselskii Mann iterative process for common fixed points of pointwise Lipschitzian evolution family of bounded nonlinear operators on a Banach space ℜ.…”
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Corrigendum to “Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications” by Jie Jia, Khurram Shabbir, Khushdil Ahmad, Nehad Ali Shah, Thongchai Botmart

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On a New Faster Implicit Fixed Point Iterative Scheme in Convex Metric Spaces by Renu Chugh, Preety Malik, Vivek Kumar

“…It is proved through numerical examples that newly introduced iteration has better convergence rate than well known implicit Mann iteration as well as implicit Ishikawa iteration and implicit iterations converge faster as compared to corresponding explicit iterations. …”
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Simulating Crowd Evacuation in a Social Force Model with Iterative Extended State Observer by Juan Wei, Wenjie Fan, Zhongyu Li, Yangyong Guo, Yuanyuan Fang, Jierui Wang

“…The results show that, as the number of iterations increases, the evacuation time shows a trend of first decreasing and then increasing.…”
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Low-complexity FTN receivers based on frequency domain iterative decision feedback equalization by Juan ZENG, Ying WANG, Xiao-na LI, Zhong-fang WANG, Yong-ming WANG

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Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field by Yidu Yang, Yu Zhang, Hai Bi

“…Combining the mixed finite element method with the Rayleigh quotient iteration method, a new multi-grid discretization scheme and an adaptive algorithm are proposed and applied to the eigenvalue problem of electric field. …”
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Higher-Order Convergent Iterative Method for Computing the Generalized Inverse over Banach Spaces by Xiaoji Liu, Fu Huang

“…A higher-order convergent iterative method is provided for calculating the generalized inverse over Banach spaces. …”
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Unlocking the potential of hydrogen deuterium exchange via an iterative continuous-flow deuteration process by Kevin Tatoueix, Marco Lepron, Cédric Barboux, Marie-Christine Scherrmann, Grégory Pieters, Sophie Feuillastre

“…This report pinpoints an approach to unlock the potential of HDE using the concept of iterative runs in continuous-flow technology (recirculation process). …”
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Entropy-Regularized Iterative Weighted Shrinkage-Thresholding Algorithm (ERIWSTA) for inverse problems in imaging. by Limin Ma, Bingxue Wu, Yudong Yao, Yueyang Teng

“…The iterative shrinkage-thresholding algorithm (ISTA) is a classic optimization algorithm for solving ill-posed linear inverse problems. …”
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Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method by Asfaw Tsegaye Moltot, Alemayehu Tamirie Deresse

“…This technique is a mixture of the Sumudu transform method and the new iterative method. The Sumudu transform method is used in this approach to solve the equation’s linear portion, and the new iterative method’s successive iterative producers are used to solve the equation’s nonlinear portion. …”
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Low complexity hybrid iterative algorithm based signal detection in massive MIMO system by Shufeng ZHAO, Bin SHEN, Furong YANG

“…Among the uplink signal detection algorithms for massive MIMO systems,the minimum mean square error (MMSE) algorithm can achieve the near-optimal linear detection performance.However,conventional MMSE usually involves high complexity due to the required matrix inversion of large-size matrix,which makes it hard to implement in realistic applications.Based on joint steepest descent (SD) algorithm and Gauss-Seidel iteration,a low complexity hybrid iterative detection algorithm was proposed.The SD algorithm was employed to obtain an efficient searching direction for the following Gauss-Seidel to speed up convergence.Meanwhile,an approximated method was also proposed to compute the bit log-likelihood ratio (LLR) for soft channel decoding.Simulation results verify that the proposed algorithm can converge rapidly and achieve its performance quite close to that of the MMSE algorithm with only a small number of iterations.Meanwhile,the complexity is reduced by an order of magnitude,which is kept consistently of O(K ²).…”
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