The Extended Hamiltonian Algorithm for the Solution of the Algebraic Riccati Equation by Zhikun Luo, Huafei Sun, Xiaomin Duan

“…Furthermore, this algorithm is compared with the Euclidean gradient algorithm, the Riemannian gradient algorithm, and the new subspace iteration method. Simulation examples show that the convergence speed of the extended Hamiltonian algorithm is the fastest one among these algorithms.…”
Get full text

THREE-DIMENSIONAL RECONSTRUCTION BY SART METHOD WITH MINIMIZATION OF THE TOTAL VARIATION by S. A. Zolotarev, M. A. Mirzavand

“…The algebraic reconstruction method with simultaneous iterations SART considered in this work as one of the most promising of iterative methods, suitable for the tomographic problems. …”
Get full text

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. …”
Get full text

INVESTIGATION OF POTENTIALITIES TO SET AUTOMATICALLY AMPLITUDE VALUES OF MAGNETIC INDUCTION WHILE MEASURING MAGNETIC CHARACTERISTICS OF ELECTRICAL-SHEET STEEL by I. I. Branovitsky, M. N. Putyrsky

“…The paper investigates efficiency of an application of some well-known iterative methods for setting the required amplitude value of a magnetic induction of the material to be tested. …”
Get full text

Arithmetic-Analytic Representation of Peano Curve by Guangjun Yang, Xiaoling Yang, Ping Wang

“…In this work, we obtained a nonmatrix analytic expression for the generator of the Peano curve. Applying the iteration method of fractal, we established a simple arithmetic-analytic representation of the Peano curve as a function of ternary numbers. …”
Get full text

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. …”
Get full text

Existence of Traveling Waves for a Delayed SIRS Epidemic Diffusion Model with Saturation Incidence Rate by Kai Zhou, Qi-Ru Wang

“…By using the cross-iteration method and Schauder’s fixed point theorem, we reduce the existence of traveling waves to the existence of a pair of upper-lower solutions. …”
Get full text

Local solvability of a constrainedgradient system of total variation by C. E. Chidume, H. Zegeye

“…Under various continuity assumptions on F and K such that 0=u+KFu has a solution, iterative methods which converge strongly to such a solution are constructed. …”
Get full text

Masses of Single, Double, and Triple Heavy Baryons in the Hyper-Central Quark Model by Using GF-AEIM by M. Abu-shady, H. M. Fath-Allah

“…By using the generalized fractional analytical iteration method (GF-AEIM), the single, the double, and the triple heavy baryons masses are calculated in the hyper-central model in the two cases. …”
Get full text

Computing the Fixed Points of Strictly Pseudocontractive Mappings by the Implicit and Explicit Iterations by Yeong-Cheng Liou

“…In this paper, we devote to study computing the fixed points of strictly pseudocontractive mappings by the iterations. Two iterative methods (one implicit and another explicit) for finding the fixed point of strictly pseudocontractive mappings have been constructed in Hilbert spaces. …”
Get full text

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). …”
Get full text

Numerical Scheme for Finding Roots of Interval-Valued Fuzzy Nonlinear Equation with Application in Optimization by Ahmed Elmoasry, Mudassir Shams, Naveed Yaqoob, Nasreen Kausar, Yaé Ulrich Gaba, Naila Rafiq

“…In this research article, we propose efficient numerical iterative methods for estimating roots of interval-valued trapezoidal fuzzy nonlinear equations. …”
Get full text

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. …”
Get full text

Optimization on Reasonable Construction State for Cable-Stayed Bridge with Steel Box Girder Based on Multi-Objective Programming Algorithm by Junbiao He, Wenhao Chai, Weiming Hu, Jie Dai, Jin Di, Fengjiang Qin

“…By integrating this algorithm with the forward iteration method, the reasonable construction state of a large-span and double-tower steel box girder cable-stayed bridge was optimized. …”
Get full text

Variational Iteration Decomposition Method for Solving Eighth-Order Boundary Value Problems by Muhammad Aslam Noor, Syed Tauseef Mohyud-Din

“…The proposed method is an elegant combination of variational iteration method and decomposition method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. …”
Get full text

An Efficient Variational Method for Image Restoration by Jun Liu, Ting-Zhu Huang, Xiao-Guang Lv, Si Wang

“…To solve this problem, we employ the split Bregman iteration method and the Chambolle’s algorithm. The convergence property of the algorithm is established. …”
Get full text

Iterative Algorithms for General Multivalued Variational Inequalities by Yonghong Yao, Muhammad Aslam Noor, Yeong-Cheng Liou, Shin Min Kang

“…This equivalence is used to suggest and analyze some iterative methods for solving the general multivalued variational in equalities in conjunction with nonexpansive mappings. …”
Get full text

OUT-OF-PLANE TENSION FAILURE ANALYSIS OF COMPOSITE STRINGER FOR AIRCRAFT by HUANG WenChao, ZHU ZhaoZe

“…The nonlinear effects of geometry, material and contact are considered, the finite element analysis（hereinafter FEA） method of composite stringer out-of-plane tension failure is established precisely by using Hoffman material failure criteria and Newton-Raphson increment iteration method. A verification test is designed to test the failure load and failure mode of three different stringer configurations.Then the load-displacement curve is drawn to verify the validity of the FEA method.The influence factors of out-of-plane tension failure of composite stringer are studied, which can guide the strength design of aircraft.…”
Get full text

Optimal Tooth Surface Correction of Internal Helical Gear and Mesh Simulation by Su Jianxin, Deng Xiaozhong, Ren Xiaozhong, Wei Bingyang, Xu Zengjun

“…The relative velocity and normal vector of the reference point are calculated,and the numerical solution of nonlinear meshing equations is obtained with newton iteration method. The numerical solution is substituted into the mesh equation to solve the transmission error,tooth contact trace and contact ellipse,consequently realized the mesh simulation of the internal helical gears which tooth surface is carried out.…”
Get full text

Non-Convex Split Feasibility Problems: Models, Algorithms and Theory by Gibali, Aviv, Sabach, Shoham, Voldman, Sergey

“…In this paper, we propose a catalog of iterative methods for solving the Split Feasibility Problem in the non-convex setting. …”
Get full text