ESTIMATION OF THE SHAPE PARAMETER IN LOMAX DISTRIBUTION BASED ON INTERVAL DATA by LONG Bing, XI ChangXin

“…The maximum likelihood method is used to estimate the unknown shape parameter in Lomax distribution under interval data, the expression of the shape parameter can not be obtained.The iterative formula of shape parameter can be obtained by using EM algorithm, it is easy to get the estimated value and the estimation has good convergence. …”
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Joint transceiver beamforming in MIMO cognitive radio network by Yan GUO, Fang-jun ZHU, Ning LI, Xiao-yun YUAN

“…An iterative SDP-MMSE algorithm based on semidefinite programs (SDP) and minimum mean squared error (MMSE) was introduced to minimize the total transmit power. …”
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A Nonlinear Fractional Problem with a Second Kind Integral Condition for Time-Fractional Partial Differential Equation by Benbrahim Abdelouahab, Taki-Eddine Oussaeif, Adel Ouannas, Khaled M. Saad, Hadi Jahanshahi, Ahmed Diar, Awad M. Aljuaid, Ayman A. Aly

“…For this aim, we split the proof into two parts; to study the main linear problem part, we used the variable separation method, and concerning the semilinear problem part, we apply an iterative method and a priori estimate for the study of the weak solution.…”
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A Generalized Gradient Projection Filter Algorithm for Inequality Constrained Optimization by Wei Wang, Shaoli Hua, Junjie Tang

“…The first is that the amount of computation is lower, since the gradient matrix only needs to be computed one time at each iterate. The second is that the paper uses the filter technique instead of any penalty function for constrained programming. …”
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Linearized Harmonic Balance Method for Seeking the Periodic Vibrations of Second- and Third-Order Nonlinear Oscillators by Chein-Shan Liu, Chung-Lun Kuo, Chih-Wen Chang

“…The periodicity of nonlinear oscillation is reflected in the Mathieu-type ordinary differential equation (ODE) with periodic forcing terms appeared on the right-hand side. In each iteration of the linearized harmonic balance method (LHBM), we simply solve a small-size linear system to determine the Fourier coefficients and the vibration frequency. …”
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An Explicit Method for Estimating the Average Reservoir Pressure and Gas in Place Based on the Gas Property Polynomial Function by Lixia Zhang, Hao Jiang, Yong Li, Xinmin Song, Yang Li

“…The proposed methodology boasts its simpleness and practicability, which not only dispenses with iterations on pseudotime but also applies to various production systems of gas wells under constant BHP, constant rate, or variable BHP/variable rate conditions.…”
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Secured Wireless Network Based on a Novel Dual Integrated Neural Network Architecture by H. V. Ramachandra, Pundalik Chavan, S. Supreeth, H. C. Ramaprasad, K. Chatrapathy, G. Balaraju, S. Rohith, H. S. Mohan

“…DINN is evaluated considering the various machine learning attack such as basic_iterative_method attack, momentum_iterative_method attack, post_gradient_descent attack, and C&W attack; comparison is carried out on existing and DINN, considering attack success rate and MSE. …”
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Computationally expensive constrained problems via surrogate-assisted dynamic population evolutionary optimization by Zan Yang, Chen Jiang, Jiansheng Liu

“…Abstract This paper proposes a surrogate-assisted dynamic population optimization algorithm (SDPOA) for the purpose of solving computationally expensive constrained optimization problems, in which the population is dynamically updated based on the real-time iteration information to achieve targeted searches for solutions with different qualities. …”
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Novel techniques for efficient PAPR reduction in NOMA systems for future wireless networks by Inam Abousaber, Amira A. Mohamed, Haitham F. Abdallah

“…ISPR, on the other hand, employs iterative phase rotation without side information, balancing performance with lower complexity, making it suitable for resource-constrained applications. …”
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A Fused Multiscale Pictorial Sequence Learning Mechanism Applied to Pavement Detection by Zhang Jiazhen, Wang Xiulai, Zhao Shuxu

“…Then iterative feature set is embedded into the pictographic subsequence learning module to rapidly extract most representative subsequence features through deep learning. …”
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A Mindfulness-Based App Intervention for Pregnant Women: Qualitative Evaluation of a Prototype Using Multiple Case Studies by Silvia Rizzi, Maria Chiara Pavesi, Alessia Moser, Francesca Paolazzi, Michele Marchesoni, Stefania Poggianella, Erik Gadotti, Stefano Forti

“…This paper aimed to describe a prototype technology-based mindfulness intervention’s design and development process for pregnant women, including the exploration phase, intervention content development, and iterative software development (including design, development, and formative evaluation of paper and low-fidelity prototypes). …”
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Strong Convergence Theorems for Equilibrium Problems and k-Strict Pseudocontractions in Hilbert Spaces by Dao-Jun Wen

“…We introduce a new iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of common fixed point of a finite family of k-strictly pseudo-contractive nonself-mappings. …”
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An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation by Hakeem Ullah, Saeed Islam, Muhammad Idrees, Mehreen Fiza, Zahoor Ul Haq

“…We obtained the extended OHAM solution of the problem and compared with the exact, variational iteration method (VIM) and homotopy perturbation method (HPM) solutions. …”
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Best Proximity Point Results for MK-Proximal Contractions by Mohamed Jleli, Erdal Karapınar, Bessem Samet

“…The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real-valued function x↦d(x,Tx), where T belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.…”
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Shape Reconstruction for Unsteady Advection-Diffusion Problems by Domain Derivative Method by Wenjing Yan, Jian Su, Feifei Jing

“…This allows the investigation of iterative method for the ill-posed problem. By the parametric method, a regularized Gauss-Newton scheme is employed to the shape inverse problem. …”
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Solutions of Conformable Fractional-Order SIR Epidemic Model by Atimad Harir, Said Malliani, Lalla Saadia Chandli

“…In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM). These models are nonlinear system of conformable fractional differential equation (CFDE) that has no analytic solution. …”
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Existence and Uniqueness of the Positive Definite Solution for the Matrix Equation X=Q+A∗(X^−C)−1A by Dongjie Gao

“…The basic fixed point iteration for the equation is given.…”
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Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems by Kamonrat Nammanee, Suthep Suantai, Prasit Cholamjiak

“…We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. …”
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Effectiveness of the PSI BLAST algorithm in dependence on scanning word size by Mindaugas Margelevičius, Albertas Timinskas

“…We modify the implementation of the iterative algorithm by increasing scanning word size. …”
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A Proximal Point Method Involving Two Resolvent Operators by Oganeditse A. Boikanyo

“…We construct a sequence of proximal iterates that converges strongly (under minimal assumptions) to a common zero of two maximal monotone operators in a Hilbert space. …”
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