A Modified Hybrid Conjugate Gradient Method for Unconstrained Optimization by Minglei Fang, Min Wang, Min Sun, Rong Chen

“…The proposed method can generate decent directions at every iteration independent of any line search. Under the Wolfe line search, the proposed method possesses global convergence. …”
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On the Solution of a Class of Nonlinear Systems Governed by an 𝑀-Matrix by Woula Themistoclakis, Antonia Vecchio

“…We propose to solve it by means of a sequence of linear systems defined by the iteration procedure (𝐼+𝜑(𝑥𝑟)𝐴)𝑥𝑟+1=𝑝, 𝑟=0,1,…. …”
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An Accelerated Homotopy Perturbation Method for Solving Nonlinear Two-Dimensional Volterra-Fredholm Integrodifferential Equations by F. A. Hendi, M. M. Al-Qarni

“…We propose and apply coupling of the variational iteration method (VIM) and homotopy perturbation method (HPM) to solve nonlinear mixed Volterra-Fredholm integrodifferential equations (VFIDE). …”
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Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations by Adil El-Ghabi, Abdelmjid Khchine, Mohamed Aziz Taoudi

“…In this paper, we establish several random fixed point theorems for random operators satisfying some iterative condition w.r.t. a measure of noncompactness. …”
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Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition by Zhongqi Peng, Yuan Li, Qi Zhang, Yimin Xue

“…We also establish two comparison principles and prove the extremal solutions for nonlinear fractional p-Laplacian differential system with Caputo conformable derivatives by utilizing the monotone iterative technique. An example is given to verify the validity of the results.…”
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Convergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi-Nonexpansive Mappings in Banach Spaces by Prasit Cholamjiak, Suthep Suantai

“…We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems and the common fixed points set of an infinitely countable family of relatively quasi-nonexpansive mappings in the framework of Banach spaces. …”
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Turbo equalization and its improvement in BICM-ID based on hard-decision by ZHAO Chun-hui1, LV Qiang1, BI Wen-bin2

“…It got better performance by exchanging the extrinsic information iteratively between the equalizer and decoder. The SIC algorithm of Turbo equalization to BICM-ID system based on hard-decision was applied and an improved method was also proposed. …”
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Homotopy Perturbation Method with an Auxiliary Term by Ji-Huan He

“…The homotopy equation should be such constructed that when the homotopy parameter is zero, it can approximately describe the solution property, and the initial solution can be chosen with an unknown parameter, which is determined after one or two iterations. This paper suggests an alternative approach to construction of the homotopy equation with an auxiliary term; Dufing equation is used as an example to illustrate the solution procedure.…”
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Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings by Huanhuan Cui

“…By making use of these properties, we propose some new iterative methods for solving multiple-sets split common fixed-point problems, as well as multiple-sets spit feasibility problems. …”
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Challenges with reinforcement learning model transportability for sepsis treatment in emergency care by Peter C. Nauka, Jason N. Kennedy, Emily B. Brant, Matthieu Komorowski, Romain Pirracchio, Derek C. Angus, Christopher W. Seymour

“…Amongst emergency sepsis patients, model parameters were often missing and invariably measured. Current iterations of RL-models trained on ICU data face challenges in emergency sepsis care.…”
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Multistep High-Order Methods for Nonlinear Equations Using Padé-Like Approximants by Alicia Cordero, José L. Hueso, Eulalia Martínez, Juan R. Torregrosa

“…We present new high-order optimal iterative methods for solving a nonlinear equation, f(x)=0, by using Padé-like approximants. …”
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Attractors of Compactly Generated Semigroups of Regular Polynomial Mappings by Azza Alghamdi, Maciej Klimek, Marta Kosek

“…The generating families can also be viewed as infinite iterated function systems with compact attractors. …”
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Fuzzy Logic Transformer Design Algorithm (FLTDA) by R. R. Mudholkar, S. R. Sawant, G. G. Tengshe, A. B. Bagwan

“…The FLTDA allows to use assumptions, approximations, estimations and guess-figures for specifications in the beginning of design-route and adjusts the parameters in iterations yielding optimum design results.…”
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Gridless DOA Estimation with Extended Array Aperture in Automotive Radar Applications by Pengyu Jiang, Silin Gao, Jie Zhao, Zhe Zhang, Bingchen Zhang

“…Simulation results show that our proposed algorithm significantly improves reconstruction accuracy compared to the iterative soft threshold (IST) algorithm while maintaining the same computational complexity. …”
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An Efficient Network Based on Conjugate Gradient Optimization and Approximate Observation Model for SAR Image Reconstruction by Song Zhou, Jing Chen, Zao Wang, Yuhao Wang, Pin Wen

“…However, due to the computation of the large-scale matrix, the optimal searching in an iterative manner will involve tremendous computational complexity with slow convergence, which will prevent deep learning algorithms from being efficiently applied for SAR imaging. …”
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Can CT Image Reconstruction Parameters Impact the Predictive Value of Radiomics Features in Grading Pancreatic Neuroendocrine Neoplasms? by Florent Tixier, Felipe Lopez-Ramirez, Alejandra Blanco, Mohammad Yasrab, Ammar A. Javed, Linda C. Chu, Elliot K. Fishman, Satomi Kawamoto

“…Reconstruction kernels alter radiomics features and iterative kernel models trended towards higher performance. …”
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Telecommand Rejection Probability in CCSDS-Compliant LDPC-Coded Space Transmissions With Tail Sequence by Rebecca Giuliani, Massimo Battaglioni, Marco Baldi, Franco Chiaraluce, Nicola Maturo

“…Instead, when the same approach is employed with LDPC codes and probabilistic belief propagation iterative decoders, the scenario becomes more challenging. …”
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Effect of Time-of-Flight and Regularized Reconstructions on Quantitative Measurements and Qualitative Assessments in Newly Diagnosed Prostate Cancer With F-Fluorocholine Dual Time... by Spencer C. Behr MD, Brett J. Mollard MD, Jaewon Yang PhD, Robert R. Flavell MD, PhD, Randall A. Hawkins MD, PhD, Youngho Seo PhD

“…Recent technical advances in positron emission tomography/magnetic resonance imaging (PET/MRI) technology allow much improved time-of-flight (TOF) and regularized iterative PET reconstruction regularized iterative reconstruction (RIR) algorithms. …”
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Geometric Assortative Growth Model for Small-World Networks by Yilun Shang

“…It is also worth noting that the model can be viewed as a generalization for an iterative construction of Farey graphs.…”
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Positive solutions of higher order quasilinear elliptic equations by Marcelo Montenegro

“…The basic ingredients are the maximum principle, Moser iterative scheme, an eigenvalue problem, a priori estimates by rescalings, sub/supersolutions, and Krasnosel'skiĭ fixed point theorem.…”
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