Search Results - Iterative Algorithms for Nonlinear Operators and Optimization

Bounds in Normed Spaces Using Convex Functions by Mohammad Sababheh, Shigeru Furuichi, Nicuşor Minculete, Hamid Reza Moradi

Get full text

Extended Dynamic Mode Decomposition with Invertible Dictionary Learning by Jin, Yuhong, Hou, Lei, Zhong, Shun

“…The Koopman operator has received attention for providing a potentially global linearization representation of the nonlinear dynamical system…”
Get full text

Efficient iterative solutions to complex-valued nonlinear least-squares problems with mixed linear and antilinear operators by Kim, Tae Hyung, Haldar, Justin P.

“…, which has a well-known analytic solution as well as powerful iterative solution algorithms. However, instead of linear least-squares, this work considers the more complicated scenario…”
Get full text

Accelerated derivative‐free method for nonlinear monotone equations with an application by Hassan Ibrahim, Abdulkarim, Kumam, Poom, Bala Abubakar, Auwal, Adamu, Abubakar

“…], we design an inertial algorithm for finding the solutions of nonlinear equation with monotone and Lipschitz continuous operator…”
Get full text

Two new Hager–Zhang iterative schemes with improved parameter choices for monotone nonlinear systems and their applications in compressed sensing by Waziri, Mohammed Yusuf, Ahmed, Kabiru, Halilu, Abubakar Sani, Sabi’u, Jamilu

“… Inspired by this and recent extensions of the one-parameter HZ scheme to system of nonlinear monotone equations, two new HZ-type iterative methods are developed in this paper for solving system…”
Get full text

A Trained Iterative Shrinkage Approach Based on Born Iterative Method for Electromagnetic Imaging by Desmal, Abdulla

“… The proposed TBIM consists of a nested loop; the outer loop executes TBIM iteration steps, while the inner loop executes a trained iterative shrinkage thresholding algorithm (TISTA…”
Get full text

An accelerated inexact Newton-type regularizing algorithm for ill-posed operator equations by Long, Haie, Zhang, Ye, Gao, Guangyu

“…We propose and analyze a new iterative regularization approach, called IN-SETPG, for efficiently solving nonlinear ill-posed operator equations in the Hilbert-space setting…”
Get full text

Tikhonov regularized iterative methods for nonlinear problems by Dixit, Avinash, Sahu, D. R., Gautam, Pankaj, Som, T.

“… Researchers assume the strong conditions like strong convexity or strong monotonicity on the considered operators to prove strong convergence of the algorithms…”
Get full text

An Inertial Iterative Algorithm for Approximating Common Solutions to Split Equalities of Some Nonlinear Optimization Problems by Mewomo, O. T., Ogwo, G. N., Alakoya, T. O.

“…In this paper, we introduce a new inertial Tseng’s extragradient method with self-adaptive step sizes for approximating a common solution of split equalities…”
Get full text

Implicit Function Theorem for Nonlinear Time-Delay Systems With Algebraic Constraints by Chen, Yahao, Ghanes, Malek, Barbot, Jean-Pierre

“…), Califano and Moog (2017)]. An iterative algorithm is proposed to check the conditions and to construct the desired bicausal change of coordinates for the proposed implicit function theorem…”
Get full text

Strong convergence of an iterative algorithm involving nonlinear mappings of nonexpansive and accretive type by Qin, Xiaolong, Cho, Sun Young, Wang, Lin

“…In this paper, a new iterative method for finding the projection onto the intersection of two closed convex sets in the framework of Banach spaces is presented…”
Get full text

Solutions to inexact resolvent inclusion problems with applications to nonlinear analysis and optimization by Reem, Daniel, Reich, Simeon

“…Many problems in nonlinear analysis and optimization, among them variational inequalities and minimization of convex functions, can be reduced to finding zeros (namely, roots…”
Get full text

Two Descent Dai-Yuan Conjugate Gradient Methods for Systems of Monotone Nonlinear Equations by Waziri, Mohammed Yusuf, Ahmed, Kabiru

“…In this paper, we present two Dai-Yuan type iterative methods for solving large-scale systems of nonlinear monotone equations…”
Get full text

Combined Newton-Gradient Method for Constrained Root-Finding in Chemical Reaction Networks by Berra, Silvia, La Torraca, Alessandro, Benvenuto, Federico, Sommariva, Sara

“…In this work, we present a fast, globally convergent, iterative algorithm for computing the asymptotically stable states of nonlinear large-scale systems of quadratic autonomous ordinary differential equations (ODE) modeling, e.g…”
Get full text

Improved Dai-Yuan iterative schemes for convex constrained monotone nonlinear systems by Ahmed, Kabiru, Waziri, Mohammed Yusuf, Halilu, Abubakar Sani, Sabi’u, Jamilu, Murtala, Salisu, Abdullahi, Habibu

“…Two new Dai-Yuan (DY) iterative schemes are presented in this article for solving constrained system of nonlinear monotone equations…”
Get full text

Koopman System Approximation-Based Optimal Control of Multiple Mobile Robots by Zhao, Qianhong, Tao, Gang

“… The operator, while operating on a set of observation functions of the state vector of a nonlinear system, produces a set of dynamic equations that, through a dynamic transformation, form a new dynamic system…”
Get full text

Memory Based Approaches to One-Dimensional Nonlinear Models by Naseem, Amir, Argyros, Ioannis K., Qureshi, Sania, Aziz ur Rehman, Muhammad, Soomro, Amanullah, Gdawiec, Krzysztof, Iyanda Abdulganiy, Ridwanulahi

“…Algorithms that locate roots are used to analyze nonlinear equations in computer science, mathematics, and physical sciences…”
Get full text

A novel genetic algorithm based method for solving continuous nonlinear optimization problems through subdividing and labeling by Esmaelian, Majid, Tavana, Madjid, Santos-Arteaga, Francisco J., Vali, Masoumeh

“…) to solve optimization problems involving n – dimensional continuous nonlinear functions. SLGA is based on the mutation and crossover operators of genetic algorithms…”
Get full text

Two adaptive scaled gradient projection methods for Stiefel manifold constrained optimization by Oviedo, Harry, Dalmau, Oscar, Lara, Hugo

“… These iterative algorithms use a projection operator based on the QR factorization to preserve the feasibility in each iteration…”
Get full text

Randomized greedy algorithm for helicopter optimization in the energy industry: a practical approach to model development and solution deliverance by Navarre, Jeremy T

“… by 19 firms are optimized via a randomized greedy algorithm. The study’s…”
Get full text