Noniterative Localized and Space-Time Localized RBF Meshless Method to Solve the Ill-Posed and Inverse Problem by Mohammed Hamaidi, Ahmed Naji, Fatima Ghafrani, Mostafa Jourhmane

“…In many references, both the ill-posed and inverse boundary value problems are solved iteratively. The iterative procedures are based on firstly converting the problem into a well-posed one by assuming the missing boundary values. …”
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Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces by Junaid Ahmad, Kifayat Ullah, Muhammad Arshad, Manuel de la Sen

“…To show the numerical accuracy of our main outcome, we show that Picard–Mann hybrid iteration process of this example is more effective than all of the Picard, Mann, and Ishikawa iterative processes.…”
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Regularized Mixed Variational-Like Inequalities by Muhammad Aslam Noor, Khalida Inayat Noor, Saira Zainab, Eisa Al-Said

“…We use auxiliary principle technique coupled with iterative regularization method to suggest and analyze some new iterative methods for solving mixed variational-like inequalities. …”
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An Alternative HSS Preconditioner for the Unsteady Incompressible Navier-Stokes Equations in Rotation Form by Jia Liu

“…We study the preconditioned iterative method for the unsteady Navier-Stokes equations. …”
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A Discrete Dipole Approximation Solver Based on the COCG-FFT Algorithm and Its Application to Microwave Breast Imaging by Samar Hosseinzadegan, Andreas Fhager, Mikael Persson, Paul Meaney

“…In this work, the computation times for the direct solvers, the iterative solver (COCG), and the iterative solver using the fast Fourier transform (COCG-FFT) are compared with the best performance achieved using the iterative solver (COCG-FFT) in C++. …”
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New Approximate Analytical Solutions of the Falkner-Skan Equation by Beong In Yun

“…We propose an iterative method for solving the Falkner-Skan equation. …”
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STRUCTURAL RELIABILITY ANALYSIS BASED ON AN IMPROVEMENT OF THE RESPONSE SURFACE METHOD by ZHANG XueGang

“…The method used mixed response surface method during iterations, at the first iteration a linear response surface function was used, at the following iteration a quadratic polynomial response surface without mixed terms was used. …”
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The Manifestation of Stopping Sets and Absorbing Sets as Deviations on the Computation Trees of LDPC Codes by Eric Psota, Lance C. Pérez

“…The error mechanisms of iterative message-passing decoders for low-density parity-check codes are studied. …”
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An Interior Point Method for Solving Semidefinite Programs Using Cutting Planes and Weighted Analytic Centers by John Machacek, Shafiu Jibrin

“…We have also compared our algorithm to the SDPT3 method and found that SDP-CUT initially gets into the neighborhood of the optimal solution in less iterations on all our test problems. SDP-CUT also took less iterations to reach optimality on many of the problems. …”
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Positive Solutions for BVP of Fractional Differential Equation with Integral Boundary Conditions by Min Li, Jian-Ping Sun, Ya-Hong Zhao

“…By applying the monotone iterative method and some inequalities associated with Green’s function, we obtain the existence of minimal and maximal positive solutions and establish two iterative sequences for approximating the solutions to the above problem. …”
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A note on orthogonal matching pursuit under restricted isometry property by Xueping Chen, Jianzhong Liu, Xianwen Ding, Hengzhen Huang

“…In this work, by investigating the relationship between the iteration number for OMP and the signal estimation error based on the restricted isometry property, the authors obtained tighter bounds on the number of iterations required to approximately recover a sparse signal with noise and exact support recovering for the noiseless cases of OMP.…”
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Implicit Ishikawa Approximation Methods for Nonexpansive Semigroups in CAT(0) Spaces by Zhi-bin Liu, Yi-shen Chen, Xue-song Li, Yi-bin Xiao

“…This paper is devoted to the convergence of the implicit Ishikawa iteration processes for approximating a common fixed point of nonexpansive semigroup in CAT(0) spaces. …”
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A New Root-Finding Algorithm for Solving Real-World Problems and Its Complex Dynamics via Computer Technology by Amir Naseem, M. A. Rehman, Jihad Younis

“…The most important factor of an iterative algorithm is its efficiency that relies upon the convergence rate and computational cost per iteration. …”
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Stress Assessment of a Steel Bullet LPG Tank Under Differential Settlement Based on Geodetic Measurements and Sensitivity Analysis by Ferenc Tomasz, Gierasimczyk Rafał, Mikulski Tomasz

“…The algorithm involves six iterations of calculations, and after each iteration, the stiffness modified sand-gravel pillow is determined. …”
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On generation of Julia sets, Mandelbrot sets and biomorphs via a modification of the viscosity approximation method by Rimsha Babar, Wutiphol Sintunavarat

“…Iterative methodology has been demonstrated to be an achievement in the age of fractals. …”
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Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising by Yuying Shi, Qianshun Chang

“…For the outer iteration, we have conducted formal convergence analysis to determine an auxiliary linear term that significantly stabilizes and accelerates the outer iteration. …”
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On the 5G Communications: Fractal-Shaped Antennas for PPDR Applications by Mihai-Virgil Nichita, Maria-Alexandra Paun, Vladimir-Alexandru Paun, Viorel-Puiu Paun

“…Moreover, the impedance along the bandwidth is approximately 360 Ohms for two-iteration fractal Koch antenna, 180 Ohms for one-iteration fractal Koch antenna, and 140 Ohms for dipole antenna, respectively.…”
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Convergence Theorems for the Variational Inequality Problems and Split Feasibility Problems in Hilbert Spaces by Panisa Lohawech, Anchalee Kaewcharoen, Ali Farajzadeh

“…In this paper, we establish an iterative algorithm by combining Yamada’s hybrid steepest descent method and Wang’s algorithm for finding the common solutions of variational inequality problems and split feasibility problems. …”
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Convergence theorems and stability results for Lipschitz strongly pseudocontractive operators by Zeqing Liu, Lili Zhang, Shin Min Kang

“…It is proved that under certain conditions the Ishikawa iterative method with errors converges strongly to the fixed point of T and this iteration procedure is stable with respect to T.…”
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Chaos in Inverse Parallel Schemes for Solving Nonlinear Engineering Models by Mudassir Shams, Bruno Carpentieri

“…Our newly developed biparametric family of parallel techniques is more computationally efficient than current approaches, as evidenced by significant reductions in the number of iterations and basic operations each iterations step for solving nonlinear equations. …”
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