A New Family of Iterative Methods Based on an Exponential Model for Solving Nonlinear Equations by Tianbao Liu, Hengyan Li, Zaixiang Pang

“…We present two new families of iterative methods for obtaining simple roots of nonlinear equations. …”
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Corrigendum to “Polychromatic Iterative Statistical Material Image Reconstruction for Photon-Counting Computed Tomography” by Thomas Weidinger, Thorsten M. Buzug, Thomas G. Flohr, Steffen Kappler, Karl Stierstorfer

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A Family of Optimal Eighth Order Iteration Functions for Multiple Roots and Its Dynamics by Saima Akram, Faiza Akram, Moin-ud-Din Junjua, Misbah Arshad, Tariq Afzal

“…In this manuscript, we present a new general family of optimal iterative methods for finding multiple roots of nonlinear equations with known multiplicity using weight functions. …”
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RETRACTED: Retraction Note: Stopping peculiarities of the iterative algorithm for identifying scenes in at video stream by Alexandrov Islam, Titova Anastasia, Nogmov Muhamed, Karpov Nikita

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Non-orthogonal multiple-access system SC-FDMA-IDMA with iterative block equalization by De-liang LIU, Qiang HUANG, Da-zhuan XU

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Evaluation of Algebraic Iterative Image Reconstruction Methods for Tetrahedron Beam Computed Tomography Systems by Joshua Kim, Huaiqun Guan, David Gersten, Tiezhi Zhang

“…It has been shown that iterative reconstruction algorithms are better able to model irregular system geometries and that algebraic iterative algorithms in particular have been able to reduce cone artifacts appearing at large cone angles. …”
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Dynamic interference coordination scheme based on the iterative joint transmission in ultra dense network by Xiaona LI, Zhongfang WANG, Qian CHENG, Jingwen FU, Shunliang ZHANG

“…In consideration of the rapidly increasing number of cells and users in the ultra-dense network,how to realize dynamic interference coordination by selecting the appropriate joint transmission users was studied,so as to improve the spectral efficiency of the edge users.All users were classified by dynamic coordination cluster division and dynamic joint-muting transmission.The iterative optimization algorithm was used to further improve the system performance and solve the problem of selecting the number of joint transmission users.The simulation results prove that compared with the conventional CoMP JT scheme,the proposed scheme has significant performance gains in the cell edge spectral efficiency without reducing the cell average spectral efficiency.…”
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An Efficient Laguerre-Based FDTD Iterative Algorithm in 3D Cylindrical Coordinate System by Da-Wei Zhu, Hai-Lin Chen, Zi-Yu Pan, Bo-Ao Xu, Bin Chen

“…Here an efficient Laguerre-based finite-difference time-domain iterative algorithm is proposed. Different from the previously developed iterative procedure used in the efficient FDTD algorithm, a new perturbation term combined with the Gauss–Seidel iterative procedure is introduced to form the new Laguerre-based FDTD algorithm in the 3D cylindrical coordinate system. …”
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Error Estimates from Noise Samples for Iterative Algorithm in Shift-Invariant Signal Spaces by Jun Xian

“…We consider error estimates of iterative algorithm in shift-invariant signal spaces. …”
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Breaking New Ground in Monocular Depth Estimation with Dynamic Iterative Refinement and Scale Consistency by Akmalbek Abdusalomov, Sabina Umirzakova, Makhkamov Bakhtiyor Shukhratovich, Azamat Kakhorov, Young-Im Cho

“…In this paper, we propose the Dynamic Iterative Monocular Depth Estimation (DI-MDE) framework, which integrates an iterative refinement process with a novel scale-alignment module to address these issues. …”
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A novel investigation of quaternion Julia and Mandelbrot sets using the viscosity iterative approach by Nabaraj Adhikari, Wutiphol Sintunavarat

“…The paper also examines how variations in the parameters of the iterative methods impact the resulting sets’ characteristics, such as shape, size, symmetry, and color.…”
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An Iterative Algorithm for the Generalized Reflexive Solution of the Matrix Equations AXB=E, CXD=F by Deqin Chen, Feng Yin, Guang-Xin Huang

“…An iterative algorithm is constructed to solve the linear matrix equation pair AXB=E, CXD=F over generalized reflexive matrix X. …”
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Data-Driven Iterative Vibration Signal Enhancement Strategy Using Alpha Stable Distribution by Grzegorz Żak, Agnieszka Wyłomańska, Radosław Zimroz

“…Procedure incorporates application of the time-frequency decomposition, α-stable distribution based signal modeling, and stability parameter in the time domain as a stoppage criterion for iterative part of the procedure. An advantage of the proposed algorithm is data-driven, automative detection of the informative frequency band as well as band with high energy due to the properties of the used distribution. …”
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Iterative algorithm on single-channel blind separation and decoding of co-frequency modulated signals by LIAO Can-hui, TU Shi-long, WAN Jian

“…An algorithm was proposed to exploit the codes in iterative single-channel blind separation and decoding of two co-frequency modulated signals with long-constraint channel codes.The output log-likelihood ratio（LLR） values of the decoder were used as a prior LLR fed back to the separator to improve the separation performance.Special emphases were laid on soft input soft output blind separation,maximum a posteriori（MAP） decoding and LLR interaction between separator and decoder.Simulation results show that the proposed algorithm can make a significant improvement in per-formance over the algorithms without iterations.For BPSK signals with（2,1,6） convolutional codes and random inter-leaving,a gain of about 2dB in signal-noise ratio can be obtained after two iterations.…”
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Application of Homotopy Perturbation and Variational Iteration Methods for Fredholm Integrodifferential Equation of Fractional Order by Asma Ali Elbeleze, Adem Kiliçman, Bachok M. Taib

“…This paper presents the application of homotopy perturbation and variational iteration methods as numerical methods for Fredholm integrodifferential equation of fractional order with initial-boundary conditions. …”
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Blind Channel Estimation Based on Multilevel Lloyd-Max Iteration for Nonconstant Modulus Constellations by Xiaotian Li, Jing Lei, Wei Liu, Erbao Li, Yanbin Li

“…Then, we introduce multilevel Lloyd-Max (ML-LM) iteration to solve this problem. Firstly, by dividing NMC into subsets, Lloyd-Max iteration is used in multilevel. …”
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Necessary and Sufficient Condition for Mann Iteration Converges to a Fixed Point of Lipschitzian Mappings by Chang-He Xiang, Jiang-Hua Zhang, Zhe Chen

“…For given x0∈C, suppose that the sequence {xn}⊂C is the Mann iterative sequence defined by xn+1=(1-αn)xn+αnTxn,n≥0, where {αn} is a sequence in [0, 1], ∑n=0∞αn2<∞, ∑n=0∞αn=∞. …”
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The Effect of Initial State Error for Nonlinear Systems with Delay via Iterative Learning Control by Zhang Qunli

“…An iterative learning control problem for nonlinear systems with delays is studied in detail in this paper. …”
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Enhanced Small Reflections Sparse-Spike Seismic Inversion with Iterative Hybrid Thresholding Algorithm by Yue Feng, Ronghuo Dai, Zidan Fan

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Effective High-Order Iterative Methods via the Asymptotic Form of the Taylor-Lagrange Remainder by Isaac Fried

“…The asymptotic form of the Taylor-Lagrange remainder is used to derive some new, efficient, high-order methods to iteratively locate the root, simple or multiple, of a nonlinear function. …”
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