Improved conjugate gradient method for nonlinear system of equations

DOI10.1007/s40314-020-01374-6zbMath1472.65073OpenAlexW3105672786MaRDI QIDQ2027665

Auwal Bala Abubakar, Aliyu Yusuf, Mohammed Yusuf Waziri

Publication date: 28 May 2021

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-020-01374-6

zbMATH Keywords

global convergenceconvex combinationconjugate gradient methodself-scaling memory-less Broyden's update

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Globally convergent modified Perry's conjugate gradient method
• A modified Perry's conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations
• A PRP type method for systems of monotone equations
• Hybrid conjugate gradient algorithm for unconstrained optimization
• Efficient hybrid conjugate gradient techniques
• Global convergence result for conjugate gradient methods
• A descent hybrid conjugate gradient method based on the memoryless BFGS update
• An improved three-term derivative-free method for solving nonlinear equations
• A derivative-free conjugate gradient method and its global convergence for solving symmetric nonlinear equations
• A derivative-free method for solving large-scale nonlinear systems of equations
• A descent Dai-Liao conjugate gradient method for nonlinear equations
• Another hybrid conjugate gradient algorithm for unconstrained optimization
• INEXACT CG-METHOD VIA SR1 UPDATE FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS
• A New Newton's Method with Diagonal Jacobian Approximation for Systems of Nonlinear Equations
• Technical Note—A Modified Conjugate Gradient Algorithm
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• Self-Scaling Variable Metric (SSVM) Algorithms
• A derivative-free line search and global convergence of Broyden-like method for nonlinear equations
• A Globally and Superlinearly Convergent Gauss--Newton-Based BFGS Method for Symmetric Nonlinear Equations
• A Nonmonotone Line Search Technique for Newton’s Method
• A descent derivative-free algorithm for nonlinear monotone equations with convex constraints
• A NEW DERIVATIVE-FREE CONJUGATE GRADIENT METHOD FOR LARGE-SCALE NONLINEAR SYSTEMS OF EQUATIONS
• A Class of Methods for Solving Nonlinear Simultaneous Equations
• Function minimization by conjugate gradients
• The conjugate gradient method in extremal problems
• Benchmarking optimization software with performance profiles.
• An efficient hybrid conjugate gradient method for unconstrained optimization