基于改进Kriging模型的主动学习可靠性分析方法 by 陈哲, 杨旭锋, 程鑫

“…,the differential evolution algorithm is introduced to explore the optimal parameter of Kriging model and improve the accuracy of Kriging prediction information.As a result,the training point in each iteration is guaranteed to be the global optimal one and the efficiency of ALK model is largely improved.…”
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An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems by Chein-Shan Liu

“…It is known that the steepest-descent method converges normally at the first few iterations, and then it slows down. We modify the original steplength and descent direction by an optimization argument with the new steplength as being a merit function to be maximized. …”
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A Numerical Approach for the Analytical Solution of the Fourth-Order Parabolic Partial Differential Equations by Fenglian Liu, Muhammad Nadeem, Ibrahim Mahariq, Suliman Dawood

“…In this study, we propose a new iterative scheme (NIS) to investigate the approximate solution of the fourth-order parabolic partial differential equations (PDEs) that arises in transverse vibration problems. …”
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Distributed refinement algorithm for WSN localization by Ying-biao YAO, Nan-lan JIANG

“…A distributed refinement algorithm was proposed based on the error analyzing of range-based WSN localization.In each iteration,the proposed algorithm identified “error nodes” and “effective nodes” according to the idea of“magnetic pole”at first; then,it choosed two nodes with the minimum relative deviations in the 1-hop neighbors set of error node,and getted the intersection points of two circles whose centers were the positions of above two nodes and radiuses are the range distances from above two nodes to the error node respectively; at last,it choosed the position with minimum error,from its current position and above two intersection points as refinement position of error node after this iteration.Simulation results show that the proposed algorithm can reduce the localization error of multilateral positioning model and improve the localization accuracy efficiently.…”
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Beamforming algorithm for cognitive satellite and terrestrial network based on UAV relay by Yanli LI, Zhi LIN, Zining WANG, Ba XU, Ming CHENG, Jian OUYANG

“…Two beamforming (BF) schemes to achieve spectrum sharing by suppressing inter-system interferences in cognitive satellite and terrestrial networks were proposed, where the satellite and UAV cooperative network was used as the secondary network, while the terrestrial network was used as the primary network.Specifically, considering that only the statistical channel state information was available, a constrained optimization problem was formulated to maximize the signal-to- interference-plus-noise ratio of the secondary user under the constraints of the maximum transmit power at the UAV and the interference power of the primary user.Then, an iteration-based BF scheme was proposed to solve the constrained optimization problem.To reduce the computational complexity of the iterative algorithm, a zero-forcing based BF scheme was further proposed.Finally, computer simulations verify the correctness and effectiveness of the proposed BF schemes.…”
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An Explicit Method for the Split Feasibility Problem with Self-Adaptive Step Sizes by Youli Yu

“…An explicit iterative method with self-adaptive step-sizes for solving the split feasibility problem is presented. …”
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A Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order by F. Soleymani, S. Karimi Vanani, M. Jamali Paghaleh

“…Each method of the class reaches the optimal efficiency index according to the Kung-Traub conjecture concerning multipoint iterative methods without memory. Moreover, the class is free from derivative calculation per full iteration, which is important in engineering problems. …”
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A New System of Generalized Mixed Quasivariational Inclusions with Relaxed Cocoercive Operators and Applications by Zhongping Wan, Jia-Wei Chen, Hai Sun, Liuyang Yuan

“…From fixed point perspective, we propose some new iterative algorithms for solving the system of generalized mixed quasivariational inclusion problem (SGMQVI). …”
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A Novel Value for the Parameter in the Dai-Liao-Type Conjugate Gradient Method by Branislav Ivanov, Predrag S. Stanimirović, Bilall I. Shaini, Hijaz Ahmad, Miao-Kun Wang

“…A new rule for calculating the parameter t involved in each iteration of the MHSDL (Dai-Liao) conjugate gradient (CG) method is presented. …”
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SAFIRE STRENGTH OPTIMIZATION: EFFECT ON TISSUE CONTRAST AND PATHOLOGICAL ASSESSMENT OF BRAIN MSCT WITH NON-HEMORRHAGE STROKE (SNH) by I Putu Eka Juliantara, Angel Lingkan Martoyo, Made Sayang Pratista

“…Background: Sinogram Affirmed Iterative Reconstruction (SAFIRE) is an Iterative Reconstruction algorithm that combines IR techniques that utilize raw data and image data iterations as parameters that underlie noise regularization in images in the reconstruction process to improve image quality. …”
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Collaborative Relay Beamforming Strategies for Multiple Destinations with Guaranteed QoS in Wireless Machine-to-Machine Networks by Da Wang, Lin Bai, Xiaoning Zhang, Wenyang Guan, Chen Chen

“…Simulation results validate our theoretical analysis and demonstrate that after several iterations, the performance of the proposed iterative strategies can obtain near-optimal performance.…”
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Trading off 1-norm and sparsity against rank for linear models using mathematical optimization: 1-norm minimizing partially reflexive ah-symmetric generalized inverses by Fampa, Marcia, Lee, Jon, Ponte, Gabriel

“…During the iterations, we produce intermediate solutions, trading off low 1-norm (and typically high sparsity) against low rank.…”
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An Improved Multiobjective Quantum-Behaved Particle Swarm Optimization Based on Double Search Strategy and Circular Transposon Mechanism by Fei Han, Yu-Wen-Tian Sun, Qing-Hua Ling

“…The particles mainly learn from their personal best position in earlier iterations and then the particles mainly learn from the global best position in later iterations to balance the exploration and exploitation ability of the swarm. …”
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Convergence theorems for I-nonexpansive mapping by B. E. Rhoades, Seyit Temir

“…We establish the weak convergence of a sequence of Mann iterates of an I-nonexpansive map in a Banach space which satisfies Opial's condition.…”
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Fixed point of nonexpansive type and K-multivalued maps by Abdul Latif, Taqdir Husain, Ismat Beg

“…Also the strong convergence of sequences of iterates of multivalued type maps is established.…”
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Approximating fixed points of nonexpansive type mappings by Hemant K. Pathak, Mohammad S. Khan

“…In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for nonexpansive type mappings under certain conditions.…”
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Existence of Solutions for Fractional Boundary Value Problem with Nonlinear Derivative Dependence by Wenzhe Xie, Jing Xiao, Zhiguo Luo

“…We investigate the existence of solutions for fractional boundary value problem including both left and right fractional derivatives by using variational methods and iterative technique.…”
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A Binary Cuckoo Search Big Data Algorithm Applied to Large-Scale Crew Scheduling Problems by José García, Francisco Altimiras, Alvaro Peña, Gino Astorga, Oscar Peredo

“…The experiments show that the conditions for obtaining suitable results and iterations are specific to each problem and are not always satisfactory.…”
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Internal Perturbation Projection Algorithm for the Extended Split Equality Problem and the Extended Split Equality Fixed Point Problem by Meixia Li, Xueling Zhou, Wenchao Wang

“…Furthermore, based on the operators being quasinonexpansive, we offer an iterative algorithm to solve the extended split equality fixed point problem. …”
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Existence of Bounded Positive Solutions for Partial Difference Equations with Delays by Zeqing Liu, Zhihua Wu, Young Chel Kwun, Shin Min Kang

“…With the help of the Banach fixed-point theorem, the existence results of uncountably many bounded positive solutions for the partial difference equation are given; some Mann iterative schemes with errors are suggested, and the error estimates between the iterative schemes and the bounded positive solutions are discussed. …”
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