Quasilinearization for the Boundary Value Problem of Second-Order Singular Differential System by Peiguang Wang, Tiantian Kong

“…At first, we reduce the BVPs to initial value problems of first-order singular integrodifferential equations and then we employ the quasilinearization method in studying the IVPs and obtain two monotone iterative sequences, which converge uniformly and quadratically to the unique solution of the IVPs. …”
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Assembly Sequence Optimization based on Improved Genetic Algorithm by Yang Wei, Meng Guanjun, Cao Wengang, Xie Kunfeng, Yu Pengfei

“…According to the assembly sequence optimization problem of mechanical products,the assembly sequence is used as initial population,and the reference set is added to the genetic algorithm,and the intelligent iterative mechanism of the decentralized search algorithm is used to avoid the random nature of the search.The continuous optimization of the assembly,the optimal solution is obtained. …”
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A Strong Convergence Theorem for Total Asymptotically Pseudocontractive Mappings in Hilbert Spaces by Chuan Ding, Jing Quan

“…The strong convergence to a fixed point of total asymptotically pseudocontraction in Hilbert spaces is obtained based on demiclosedness principle, metric projective operator, and hybrid iterative method. The main results presented in this paper extend and improve the corresponding results of Zhou (2009), Qin, Cho, and Kang (2011) and of many other authors.…”
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Existence Theorems for Solvability of a Functional Equation Arising in Dynamic Programming by Deepmala

“…The paper deals with the existence, uniqueness, and iterative approximations of solutions for the functional equations arising in dynamic programming of multistage decision making processes in Banach spaces BC(S) and B(S) and complete metric space BB(S), respectively. …”
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A Numerical Method for Computing the Principal Square Root of a Matrix by F. Soleymani, S. Shateyi, F. Khaksar Haghani

“…It is shown how the mid-point iterative method with cubical rate of convergence can be applied for finding the principal matrix square root. …”
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Spare Parts Inventory Optimization for Military Vehicles Using a Mixed Probability Distribution by Mojtaba Salehi, Mojtaba Omidvar, Shohreh Shariati

“…As the model is subjected to more iterations, differences in results are observed, indicating the potential for variability with increasing iterations. …”
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Establishment of an Improved Elman Neural Network Model for Predicting the Corrosion Rate of 3C Steel in Marine Environment and Analysis of the Factors Affecting Model Accuracy by Wenbo Jin, Zhuo Chen, Wanying Liu, Qing Quan, Zongxiao Ren

“…With the increase in the number of iterations, the average relative errors of the predicted results decrease first, then increase, and finally decrease. …”
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APDL: an adaptive step size method for white-box adversarial attacks by Jiale Hu, Xiang Li, Changzheng Liu, Ronghua Zhang, Junwei Tang, Yi Sun, Yuedong Wang

“…APDL achieves convergence in fewer than 10 iterations, outperforming the traditional nonadaptive methods and achieving a high attack success rate with fewer iterations. …”
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Overview for developing Delphi-based interdisciplinary consensus statements on imaging: pros and cons by Dietrich Tobias Johannes, Mascarenhas Vasco V., Cerezal Luis, Afonso P. Diana, Sudoł-Szopińska Iwona

“…Third, the methodology involves iterative rounds where statements are presented repeatedly, allowing for controlled feedback. …”
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Fast, super‐resolution sparse inverse synthetic aperture radar imaging via continuous compressive sensing by Lv Mingjiu, Ma Lei, Ma Jianchao, Chen Wenfeng, Yang Jun, Ma Xiaoyan, Cheng Qi

“…Second, to improve the resolution and reduce the computational burden significantly, a locally convergent iterative algorithm based on the alternating direction method of multipliers, which iteratively performs ANM with a sound reweighting strategy, is implemented. …”
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Partitioned Strong Coupling of Discrete Elements with Large Deformation Structural Finite Elements to Model Impact on Highly Flexible Tension Structures by Klaus Bernd Sautter, Tobias Teschemacher, Miguel Ángel Celigueta, Philipp Bucher, Kai-Uwe Bletzinger, Roland Wüchner

“…Systematic evaluations of the newly proposed iterative coupling scheme with respect to accuracy, robustness, and efficiency as well as cross comparisons between strong and weak FEM-DEM coupling approaches are performed. …”
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Evaluating Company’s Readiness for Adopting Product Line Engineering: a Second Evaluation Round by Luisa Rincón, Raúl Mazo, Camille Salinesi

“…Also, we detected new functionalities and modifications that we expect to be resolved in the following evaluation iterations. Further evaluations and improvements are needed to mature the framework. …”
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Average Bandwidth Allocation Model of WFQ by Tomáš Balogh, Martin Medvecký

“…We present a new iterative method for the calculation of average bandwidth assignment to traffic flows using a WFQ scheduler in IP based NGN networks. …”
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Research on Sparse Code Multiple Access Detection Technology in Satellite Communication Systems by Yiting JIANG, Lidong ZHU

“…SCMA detection algorithms in the satellite communication system was studied,and optimal allocation of codebook and the incomplete iterative MPA detection algorithm were combined to improve system performance while reducing system complexity.The convergence of the SCMA detection algorithm was studied,and an improved serial-parallel MPA algorithm was proposed.This algorithm could accelerate the system convergence speed while reducing the processing delay,and the system complexity was also reduced.…”
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Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator by Xiao Zhang, Rui Xu, Qintao Gan

“…The existence of Hopf bifurcation at the positive equilibrium is established. By using an iteration technique and comparison argument, respectively, sufficient conditions are derived for the global stability of the positive equilibrium and two boundary equilibria of the system. …”
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On Maximal and Minimal Solutions for Set-Valued Differential Equations with Feedback Control by Ngo Van Hoa, Nguyen Dinh Phu

“…In this paper, we present the existence of extremal solutions of set-valued differential equations with feedback control on semilinear Hausdorff space under Hukuhara derivative which is developed under the form DHX(t)=F(t, X(t),H(t,X(t))), X(0)=X0,  for all t∈[0,T] with the monotone iterative technique and we will verify that monotone sequence of approximate solutions converging uniformly to the solution of the problem, that is useful for optimization problems.…”
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Choice of Measurement Locations of Nonlinear Structures Using Proper Orthogonal Modes and Effective Independence Distribution Vector by T. G. Ritto

“…The response of the computational model (or experimental data) is used to construct the proper orthogonal modes applying the proper orthogonal decomposition (POD), and the effective independence distribution vector (EIDV) procedure is employed to eliminate, iteratively, locations that contribute less for the independence of the target proper orthogonal modes.…”
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Positive Solutions to n-Order Fractional Differential Equation with Parameter by Jing-jing Tan, Cong Tan, Xueling Zhou

“…We not only obtain the existence and uniqueness of solutions about this BVP but also construct an iterative scheme to approximate the solution which is important for practical application. …”
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Convergence Theorems for Fixed Points of Multivalued Strictly Pseudocontractive Mappings in Hilbert Spaces by C. E. Chidume, C. O. Chidume, N. Djitté, M. S. Minjibir

“…A Krasnoselskii-type iteration sequence {xn} is constructed and shown to be an approximate fixed point sequence of T; that is, limn→∞d(xn,Txn)=0 holds. …”
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The Solution of Nonlinear Fourth-Order Differential Equation with Integral Boundary Conditions by Yanli Fu, Huanmin Yao

“…An iterative algorithm is proposed for solving the solution of a nonlinear fourth-order differential equation with integral boundary conditions. …”
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