Some Matrix Iterations for Computing Matrix Sign Function by F. Soleymani, E. Tohidi, S. Shateyi, F. Khaksar Haghani

“…Some iterative methods are introduced and demonstrated for finding the matrix sign function. …”
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Descent methods for convex optimization problems in Banach spaces by M. S. S. Ali

“…We propose a general class of iterative methods, which are based on combining descent and regularization approaches and provide strong convergence of iteration sequences to a solution of the initial problem.…”
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The Iteration Solution of Matrix Equation AXB=C Subject to a Linear Matrix Inequality Constraint by Na Huang, Changfeng Ma

“…We propose a feasible and effective iteration method to find solutions to the matrix equation AXB=C subject to a matrix inequality constraint DXE≥F, where DXE≥F means that the matrix DXE-F is nonnegative. …”
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On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative by Ali El Mfadel, Said Melliani, M’hamed Elomari

“…The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction principle. As application, we conclude this paper by giving an illustrative example to demonstrate the applicability of the obtained results.…”
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Strong Convergence Analysis of Iterative Algorithms for Solving Variational Inclusions and Fixed-Point Problems of Pseudocontractive Operators by Zhangsong Yao, Yan-Kuen Wu, Ching-Feng Wen

“…Iterative methods for solving variational inclusions and fixed-point problems have been considered and investigated by many scholars. …”
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On the numerical solving of one minimization problem by Raimondas Čiegis, Violeta Pakenienė

“… In this paper we consider the dependence of iterative methods convergence rate on iterative parameters selection. …”
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Decomposition Technique and a Family of Efficient Schemes for Nonlinear Equations by Farooq Ahmed Shah, Maslina Darus, Imran Faisal, Muhammad Arsalan Shafiq

“…In this paper, a new family of iterative methods for solving nonlinear equations is developed by using a new decomposition technique. …”
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A General Class of Derivative Free Optimal Root Finding Methods Based on Rational Interpolation by Fiza Zafar, Nusrat Yasmin, Saima Akram, Moin-ud-Din Junjua

“…We construct a new general class of derivative free n-point iterative methods of optimal order of convergence 2n-1 using rational interpolant. …”
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Multigrid Discretization and Iterative Algorithm for Mixed Variational Formulation of the Eigenvalue Problem of Electric Field by Yidu Yang, Yu Zhang, Hai Bi

“…Combining the mixed finite element method with the Rayleigh quotient iteration method, a new multi-grid discretization scheme and an adaptive algorithm are proposed and applied to the eigenvalue problem of electric field. …”
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First-Order Boundary Value Problem with Nonlinear Boundary Condition on Time Scales by Ya-Hong Zhao

“…By applying monotone iteration method, we not only obtain the existence of positive solutions, but also establish iterative schemes for approximating the solutions.…”
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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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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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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.…”
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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. …”
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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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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. …”
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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. …”
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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. …”
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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. …”
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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. …”
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