Low complexity signal detection algorithm based on Newton iterative algorithm by Gang LIU, Zengjin LOU, Qinhua LIN, Yi GUO

“…In order to solve the problems of high computational complexity and slow convergence rate of ultra-massive MIMO detection in terahertz communication system, the low complexity signal detection algorithm based on Newton iterative algorithm was proposed.By improving the initial matrix and adding step factor in Newton iteration algorithm, the complexity of the algorithm was reduced, and the convergence speed was increased.By adding adjusting factors, the stability and reliability of the algorithm were guaranteed, and the applicability of the algorithm was also increased.Simulation results show that the proposed algorithm have lower computational complexity and faster convergence speed compared with traditional schemes.When the number of iterations is three, the detection performance is close to MMSE algorithm.…”
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Least-Squares-Based Iterative Identification Algorithm for Wiener Nonlinear Systems by Lincheng Zhou, Xiangli Li, Feng Pan

“…To solve the identification problem of Wiener nonlinear systems with the unmeasurable variables in the information vector, the least-squares-based iterative algorithm is presented by replacing the unmeasurable variables in the information vector with their corresponding iterative estimates. …”
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On a New Iterative Scheme without Memory with Optimal Eighth Order by M. Sharifi, S. Karimi Vanani, F. Khaksar Haghani, M. Arab, S. Shateyi

“…The purpose of this paper is to derive and discuss a three-step iterative expression for solving nonlinear equations. …”
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Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces by Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad, Nabil Mlaiki

“…In this article, we prove some weak and strong convergence theorems for mappings satisfying condition (E) using the AK iterative scheme in the setting of Banach spaces. We offer a new example of mapping with condition (E) in support of our main result. …”
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Optimal Parametric Iteration Method for Solving Multispecies Lotka-Volterra Equations by Vasile Marinca, Nicolae Herişanu

“…We apply an analytical method called the Optimal Parametric Iteration Method (OPIM) to multispecies Lotka-Volterra equations. …”
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Frozen Jacobian Multistep Iterative Method for Solving Nonlinear IVPs and BVPs by Fayyaz Ahmad, Shafiq Ur Rehman, Malik Zaka Ullah, Hani Moaiteq Aljahdali, Shahid Ahmad, Ali Saleh Alshomrani, Juan A. Carrasco, Shamshad Ahmad, Sivanandam Sivasankaran

“…Frozen Jacobian multistep iterative methods are computationally very efficient. …”
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New Iterative Manner Involving Sunny Nonexpansive Retractions for Pseudocontractive Mappings by Yaqin Zheng, Jinwei Shi

“…Iterative methods for pseudocontractions have been studied by many authors in the literature. …”
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FMCW radar range estimation algorithm based on fast iterative interpolation by Yongchang DUAN, Xin LI, Yaohui HUANG, Ping HUANG

“…For the multi-target detection,a multi-objective range estimation algorithm was proposed based on iterative interpolation to solve the problem of the range accuracy of frequency modulation continuous wave (FMCW) radar being easy to be interfered by spectrum.Firstly,the number of targets and the rough location of the target were obtained through the fast Fourier transform (FFT) and the constant false alarm (CFAR) detection algorithm.Then spectrum was iteratively interpolate,and the inter-spectral interference was eliminated during each iteration to obtain more accurate distance.Simulation results show that the proposed algorithm has higher estimation accuracy in multi-target environment and low Signal-to-noise ratio(SNR).The proposed algorithm is implemented by DSP,which proved that the algorithm meets the real-time requirements and is easy to be implemented in engineering.…”
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A New Iterative Method for Equilibrium Problems and Fixed Point Problems by Abdul Latif, Mohammad Eslamian

“…Introducing a new iterative method, we study the existence of a common element of the set of solutions of equilibrium problems for a family of monotone, Lipschitz-type continuous mappings and the sets of fixed points of two nonexpansive semigroups in a real Hilbert space. …”
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Analytic Solutions of an Iterative Functional Differential Equations Near Regular Points by Lingxia Liu

“…The existence of analytic solutions of an iterative functional differential equation is studied when the given functions are all analytic and when the given functions have regular points. …”
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He’s Variational Iteration Method for Nonlinear Jerk Equations: Simple but Effective by Behrouz Raftari

“…The variational iteration method (VIM) for determining periodic solutions of non-linear jerk equations involving third-order time-derivative is presented. …”
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New Iterative Method: An Application for Solving Fractional Physical Differential Equations by A. A. Hemeda

“…The new iterative method with a powerful algorithm is developed for the solution of linear and nonlinear ordinary and partial differential equations of fractional order as well. …”
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Strong Convergence of Non-Implicit Iteration Process with Errors in Banach Spaces by Yan Hao, Xiaoshuang Wang, Aihua Tong

“…The purpose of this paper is to study the strong convergence of a non-implicit iteration process with errors for asymptotically I-nonexpansive mappings in the intermediate sense in the framework of Banach spaces. …”
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A Study on Iterative Algorithm for Stochastic Distribution Free Inventory Models by Jennifer Lin

“…We studied the iterative algorithm in Tung et al. (2010) to find out that their assertion is questionable. …”
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Strong convergence and control condition of modified Halpern iterations in Banach spaces by Yonghong Yao, Rudong Chen, Haiyun Zhou

“…For arbitrary x0∈C, let the sequence {xn} be defined iteratively by yn=αnf(xn)+(1−αn)Txn, n≥0, xn+1=βnxn+(1−βn)yn, n≥0. …”
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Approximate Iteration Algorithm with Error Estimate for Fixed Point of Nonexpansive Mappings by Yongfu Su

“…The purpose of this article is to present a general viscosity iteration process {xn} which defined by xn+1=(I-αnA)Txn+βnγf(xn)+(αn-βn)xn and to study the convergence of {xn}, where T is a nonexpansive mapping and A is a strongly positive linear operator, if {αn}, {βn} satisfy appropriate conditions, then iteration sequence {xn} converges strongly to the unique solution x*∈f(T) of variational inequality 〈(A−γf)x*,x−x*〉≥0, for all x∈f(T). …”
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Numerical Solution of Sylvester Equation Based on Iterative Predictor-Corrector Method by Ovgu Cidar Iyikal

“…The inspiration of the study concerns an iterative predictor-corrector method with order of convergence p=45 for computing the inverse of the coefficient matrix Λ=In⊗A+BT⊗Im, which is obtained by the Sylvester equation AX+XB=C. …”
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Julia and Mandelbrot Sets of Transcendental Function via Fibonacci-Mann Iteration by Nihal Özgür, Swati Antal, Anita Tomar

“…In this paper, utilizing the Fibonacci-Mann iteration process, we explore Julia and Mandelbrot sets by establishing the escape criteria of a transcendental function, sinzn+az+c, n≥2; here, z is a complex variable, and a and c are complex numbers. …”
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Adaptive Iterative Learning Control of Hybrid Drive Cable Parallel Manipulator by Jianbin Cao, Mingsheng Wei, Haixiao Zhao

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Strong Convergence for Hybrid Implicit S-Iteration Scheme of Nonexpansive and Strongly Pseudocontractive Mappings by Shin Min Kang, Arif Rafiq, Faisal Ali, Young Chel Kwun

“…For arbitrary x0∈K, let xn be a sequence iteratively defined by xn=Syn, yn=1-βnxn-1+βnTxn, n≥1. …”
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