A Nonlinear System Science Approach to Find the Robust Solar Wind Drivers of the Multivariate Magnetosphere by S. Blunier, B. Toledo, J. Rogan, J. A. Valdivia

“…The derived robust nonlinear Neural Network model is also a significant improvement over linear approximations, specially when used as iterated predictors.…”
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Optimizing Red Blood Cell Consumption Using Markov's Decision-Making Process (Case study: Blood Bank of Zanjan Province Blood Transfusion Center) by Mahdi Yousefi Nejad, Mehran Khayat Rasouli, Zohreh Khalilpour

“…On the other hand, with regard to the problem solving dimensions, the number of solution iterations would be limited. Ultimately, after solving the above problems, the collected data are entered into the formulation of Markov’s decision-making process and solved using the successive approximation approach. …”
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A Three-Phase Top- Query Based Distributed Data Collection Scheme in Wireless Sensor Networks by Guorui Li, Jingsha He, Cong Wang

“…The proposed scheme consists of a distributed iterative hard thresholding algorithm and a three-phase top- k query algorithm. …”
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Seismic Waveform Inversion Using the Finite-Difference Contrast Source Inversion Method by Bo Han, Qinglong He, Yong Chen, Yixin Dou

“…The contrast source inversion method is a nonlinear iterative method that alternatively reconstructs contrast sources and contrast function. …”
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Fourth- and Fifth-Order Methods for Solving Nonlinear Systems of Equations: An Application to the Global Positioning System by Manuel F. Abad, Alicia Cordero, Juan R. Torregrosa

“…Two iterative methods of order four and five, respectively, are presented for solving nonlinear systems of equations. …”
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Nonlinear Response of Strong Nonlinear System Arisen in Polymer Cushion by Jun Wang, Li-xin Lu, Huan-xin Jiang, Yong Zhu

“…An accurate analytical solution for the nonlinear free vibration of the system is derived by applying He's variational iteration method, and conditions for resonance are obtained, which should be avoided in the cushioning design.…”
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CONVERGENCE RATE OF THE PHAM DINH-L E THI'S ALGORITHM FOR THE TRUST-REGION SUBPROBLEM by Hoàng Ngọc Tuấn

“…We obtain sufficient conditions for the linear convergence of the iterative sequences produced by the Pham Dinh-Le Thi Algorithm for the trust-region sub-problem. …”
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Explicit Scheme for Fixed Point Problem for Nonexpansive Semigroup and Split Equilibrium Problem in Hilbert Space by Pei Zhou, Gou-Jie Zhao

“…We establish an iterative method for finding a common element of the set of fixed points of nonexpansive semigroup and the set of split equilibrium problems. …”
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Newtons method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion by Henryk Leszczyński, Monika Wrzosek

“…The existence of solutions is proved by means of Picard iterations. Next we apply Newton's method. Moreover, a second-order convergence in a probabilistic sense is demonstrated.…”
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Block Preconditioned SSOR Methods for -Matrices Linear Systems by Zhao-Nian Pu, Xue-Zhong Wang

“…We present a block preconditioner and consider block preconditioned SSOR iterative methods for solving linear system . When is an -matrix, the convergence and some comparison results of the spectral radius for our methods are given. …”
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Fixed Points for Contractive Mappings of Integral Type Involving ω-Distance and Applications by Haiyan Gao, Na Liu, Liangshi Zhao

“…In this paper, we use ω-distance to prove the existence, uniqueness, and iterative approximations of fixed points for a few contractive mappings of integral type in complete metric spaces. …”
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GL-ST: A Data-Driven Prediction Model for Sea Surface Temperature in the Coastal Waters of China Based on Interactive Fusion of Global and Local Spatiotemporal Information by Ning Song, Jie Nie, Qi Wen, Yuchen Yuan, Xiong Liu, Jun Ma, Zhiqiang Wei

“…Furthermore, we introduced an iterative optimization scheme for predictions to enhance the model's stability in iterative forecasting. …”
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Synthesizing fractal images by means of shift dynamical systems by Jonas Valantinas, Rokas Valantinas, Tomas Žumbakis

“… In this paper, the adaptation problem of the time escape algorithm to the special class of fractal images (attractors of iterated function systems) and the necessary mathematical context are ana­lysed. …”
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Fixed Point Results of a General Class of Monotone Nonexpansive Mappings in Hyperbolic Metric Spaces by Rida Outass, Karim Chaira, El Miloudi Marhrani, Nour-eddine El Harmouchi

“…Further, we give some results on the convergence of the Mann iterative process for this class of mappings in hyperbolic ordered metric spaces with some interesting examples.…”
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Invariant manifolds and alternative approaches to reductive perturbation theory: dissipative systems by Hedley C. Morris, Derek Sheil, Roger Dodd

“…A new view of both conventional reductive perturbation theory and the higher order theory of Kodama is presented for a general class of dissipative systems. An alternative Iterative approach to the determination of higher order corrections is outlined.…”
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Interference alignment based on optimizing bit allocation with limited feedback in interfering MIMO-MAC networks by Xian-zhong XIE, Dan LI, Wei-jia LEI, Sen-lin ZHANG

“…A novel limited feedback for interference alignment algorithm was proposed based on the disadvantages of traditional limited feedback interference alignment schemes for MIMO uplink.Unlike the traditional linear interference alignment,an iterative scheme was presented.The pre-coder was designed through maximizing the target signal to the interference leakage and noise ratio,and interference suppression matrix was designed by maximizing the signal to interference plus noise ratio for each data stream,which can come over rate loss in low SNR.In addition,the bit allocation of traditional limited feedback schemes were based on the mean of interference leakage,which were not perfect and make the total number of the effective bits less than the bits provided by system.Thus,a novel bit allocation scheme was provided that improving bit utilize and decreasing quantization error.Theoretical analysis and simulation experiments show that compare to the existed classical algorithms,the algorithm was a stepwise enhancement of signal quality for iterative search in perfect CSI which was better than linear algorithm and has a larger space with no need for strictly align interference in limited feedback CSI which reduces the influence of quantization error more.The effective bit distribution and bit utilization are improved by bit allocation,resulting in improved performance in limited feedback.…”
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Research on uplink sum-rate maximization for STAR-RIS assisted batteryless IoT: SDMA versus NOMA by CHEN Yanming, LYU Bin, YANG Zhen, LI Fei

“…For the SDMA scenario, an iterative algorithm based on the block coordinate descent (BCD) framework was proposed to solve the optimization problem. …”
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Overhead Power Line Tension Estimation Method Using Accelerometers by Sang-Hyun Kim, Kwan-Ho Chun

“…The iterative range reduction technique improves the accuracy of the estimated tension of overhead power lines. …”
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Empiricism and Theorizing in Epidemiology and Social Network Analysis by Richard Rothenberg, Elizabeth Costenbader

“…The connection between theory and data is an iterative one. In principle, each is informed by the other: data provide the basis for theory that in turn generates the need for new information. …”
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A New Processing Method Combined with BP Neural Network for Francis Turbine Synthetic Characteristic Curve Research by Junyi Li, Canfeng Han, Fei Yu

“…In addition, a detailed analysis for improvements of iteration convergence of the pressure loop is proposed, leading to a better iterative convergence during the head pressure calculation. …”
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