A structured RMIL conjugate gradient-based strategy for nonlinear least squares with applications in image restoration problems

Numerous scientific and technical domains have found use for nonlinear least squares (NLS). Conventional approaches to NLS problem solving often suffer from computational inefficiencies and high memory requirements, particularly when applied to large-scale systems. This paper presents the structured...

Full description

Bibliographic Details
Published in:	AIMS Mathematics
Main Authors:	Rabiu Bashir Yunus, Ahmed R. El-Saeed, Nooraini Zainuddin, Hanita Daud
Format:	Article
Language:	English
Published:	AIMS Press 2025-06-01
Subjects:	structured nonlinear least squares conjugate gradient image restoration optimization sufficient descent
Online Access:	https://www.aimspress.com/article/doi/10.3934/math.2025668

Similar Items

An Accelerated Diagonally Structured CG Algorithm for Nonlinear Least Squares and Inverse Kinematics
by: Rabiu Bashir Yunus, et al.
Published: (2025-08-01)

A Modified Structured Spectral HS Method for Nonlinear Least Squares Problems and Applications in Robot Arm Control
by: Rabiu Bashir Yunus, et al.
Published: (2023-07-01)

A THREE-TERM CONJUGATE GRADIENT METHOD FOR LARGE-SCALE MINIMIZATION IN ARTIFICIAL NEURAL NETWORKS
by: Umar A Omesa, et al.
Published: (2025-07-01)

A New Formula for Conjugate Gradient in Unconstrained Optimization
by: Hussein Wali, et al.
Published: (2020-05-01)

New CG-Based Algorithms With Second-Order Curvature Information for NLS Problems and a 4DOF Arm Robot Model
by: Rabiu Bashir Yunus, et al.
Published: (2024-01-01)

A new family of hybrid three-term conjugate gradient method for unconstrained optimization with application to image restoration and portfolio selection
by: Maulana Malik, et al.
Published: (2023-01-01)

A modified three terms PRP conjugate gradient method
by: Songhua WANG, et al.
Published: (2018-12-01)

Efficient hybrid conjugate gradient techniques for vector optimization
by: Jamilu Yahaya, et al.
Published: (2024-03-01)

A New Modified Conjugate Gradient for Nonlinear Minimization Problems
by: Hussein Ageel Khatab, et al.
Published: (2022-10-01)

Gradient-descent iterative algorithm for solving exact and weighted least-squares solutions of rectangular linear systems
by: Kanjanaporn Tansri, et al.
Published: (2023-03-01)

Some descent Dai-Liao-type conjugate gradient methods for vector optimization
by: Jamilu Yahaya, et al.
Published: (2025-03-01)

A New Conjugate Gradient for Efficient Unconstrained Optimization with Robust Descent Guarantees
by: Hussein Saleem Ahmed
Published: (2025-06-01)

An improved LS-RMIL-type conjugate gradient projection algorithm for systems of nonlinear equations and impulse noise image restoration
by: Yan Xia, et al.
Published: (2025-06-01)

A New Hybrid of DY and CGSD Conjugate Gradient Methods for Solving Unconstrained Optimization Problems
by: Zeyad Mohammed Abdullah, et al.
Published: (2021-09-01)

A New Paired Spectral Gradient Method to Improve Unconstrained and Non-Linear Optimization
by: Siham Aziz, et al.
Published: (2023-06-01)

A Sufficient Descent 3-Term Conjugate Gradient Method for Unconstrained Optimization Algorithm
by: Ghada Moayid Al-Naemi, et al.
Published: (2023-12-01)

Two New Extended PR Conjugate Gradient Methods for Solving Nonlinear Minimization Problems
by: Abbas Y. AL-Bayati, et al.
Published: (2018-06-01)

A New Hybrid Three-Term Conjugate Gradient Algorithm for Large-Scale Unconstrained Problems
by: Qi Tian, et al.
Published: (2021-06-01)

Noise Reduction in RTL-SDR using Least Mean Square and Recursive Least Square
by: Aviv Yuniar Rahman, et al.
Published: (2020-04-01)

Generalized Least Squares and Weighted Least Squares Estimation Methods for Distributional Parameters
by: Yeliz Mert Kantar
Published: (2015-11-01)

A scaled Polak-Ribie`re-Polyak conjugate gradient algorithm for constrained nonlinear systems and motion control
by: Jamilu Sabi'u, et al.
Published: (2023-01-01)

Least squares data fitting
by: P Ripa
Published: (2002-03-01)

Low-Complexity Recursive Least-Squares Adaptive Algorithm Based on Tensorial Forms
by: Ionuț-Dorinel Fîciu, et al.
Published: (2021-09-01)

Function approximation method based on weights gradient descent in reinforcement learning
by: Xiaoyan QIN, et al.
Published: (2023-08-01)

Function approximation method based on weights gradient descent in reinforcement learning
by: Xiaoyan QIN, Yuhan LIU, Yunlong XU, Bin LI
Published: (2023-08-01)

A novel iteration scheme with conjugate gradient for faster pruning on transformer models
by: Jun Li, et al.
Published: (2024-08-01)

The Least Square and the Weighted Least Square Methods for Estimating the Weibull Distribution Parameters - A Comparative Study
by: Ivana Pobocikova, et al.
Published: (2012-12-01)

A New Hybrid Descent Algorithm for Large-Scale Nonconvex Optimization and Application to Some Image Restoration Problems
by: Shuai Wang, et al.
Published: (2024-10-01)

New investigation Development of the Dai Yuan method for solving Unconstrained Optimization Problems.
by: Hussein AL-Moussawi, et al.
Published: (2024-12-01)

A modified of Dai and Yuan method for solving unconstrained optimization problems
by: Hussein Aljarjary, et al.
Published: (2024-12-01)

ROBUST LEAST MEDIAN OF SQUARE MODELLING USING SEEMINGLY UNRELATED REGRESSION WITH GENERALIZED LEAST SQUARE ON PANEL DATA FOR TUBERCULOSIS CASES
by: Amanda Adityaningrum, et al.
Published: (2024-10-01)

Properties of the total least squares estimation
by: Wang Leyang
Published: (2012-11-01)

A derivative-free RMIL conjugate gradient method for constrained nonlinear systems of monotone equations
by: Xiaowei Fang
Published: (2025-05-01)

Two Versions of the Spectral Nonlinear Conjugate Gradient Method
by: Basim A. Hassan, et al.
Published: (2018-10-01)

Identifikasi Motor DC dengan Metode Recursive Least Square
by: Muhammad Aziz Muslim, et al.
Published: (2021-08-01)

Unbiased Least-Squares Modelling
by: Marta Gatto, et al.
Published: (2020-06-01)

Anew Conjugate Gradient Algorithm Based on The (Dai-Liao) Conjugate Gradient Method
by: SHAHER QAHTAN HUSSEIN, et al.
Published: (2020-02-01)

A convergent hybrid three-term conjugate gradient method with sufficient descent property for unconstrained optimization
by: Diphofu T., et al.
Published: (2022-06-01)

Three-terms conjugate gradient algorithm based on the Dai-Liao and the Powell symmetric methods
by: Prof. Khalil K. Abbo, et al.
Published: (2017-06-01)

TREND SEMI AVERAGE AND LEAST SQUARE IN FORECASTING YAMAHA MOTORCYCLE SALES
by: Ines Saraswati Machfiroh, et al.
Published: (2022-03-01)