Norm descent conjugate gradient methods for solving symmetric nonlinear equations

DOI10.1007/s10898-014-0218-7zbMath1326.65063OpenAlexW1987583991MaRDI QIDQ496604

Soon-Yi Wu, Chunjie Wu, Yun-hai Xiao

Publication date: 22 September 2015

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-014-0218-7

zbMATH Keywords

unconstrained optimizationglobal convergencenumerical examplesconjugate gradient methodbacktracking line searchlarge-scale symmetric nonlinear equations

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10)

Related Items (10)

An efficient modified residual-based algorithm for large scale symmetric nonlinear equations by approximating successive iterated gradients ⋮ An approximate gradient-type method for nonlinear symmetric equations with convex constraints ⋮ A Five-Parameter Class of Derivative-Free Spectral Conjugate Gradient Methods for Systems of Large-Scale Nonlinear Monotone Equations ⋮ Some valid generalizations of Boyd and Wong inequality and \((\psi,\phi)\)-weak contraction in partially ordered \(b\)-metric spaces ⋮ A new conjugate gradient projection method for convex constrained nonlinear equations ⋮ A Riemannian nonmonotone spectral method for self-adjoint tangent vector field ⋮ A derivative-free conjugate gradient method and its global convergence for solving symmetric nonlinear equations ⋮ A norm descent derivative-free algorithm for solving large-scale nonlinear symmetric equations ⋮ A modified BFGS type quasi-Newton method with line search for symmetric nonlinear equations problems ⋮ A class of line search-type methods for nonsmooth convex regularized minimization

Uses Software

• CG_DESCENT

Cites Work

• Sufficient descent directions in unconstrained optimization
• A modified Fletcher-Reeves-type derivative-free method for symmetric nonlinear equations
• BFGS trust-region method for symmetric nonlinear equations
• A new backtracking inexact BFGS method for symmetric nonlinear equations
• Nonmonotone spectral method for large-scale symmetric nonlinear equations
• A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing
• Convergence properties of an iterative method for solving symmetric non-linear equations
• Global convergence of a modified Fletcher-Reeves conjugate gradient method with Armijo-type line search
• A family of derivative-free conjugate gradient methods for large-scale nonlinear systems of equations
• A descent modified Polak–Ribière–Polyak conjugate gradient method and its global convergence
• Algorithm 851
• Two-Point Step Size Gradient Methods
• CUTE
• A Globally and Superlinearly Convergent Gauss--Newton-Based BFGS Method for Symmetric Nonlinear Equations
• Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations
• A Nonlinear Conjugate Gradient Algorithm with an Optimal Property and an Improved Wolfe Line Search
• A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
• An Inexact PRP Conjugate Gradient Method for Symmetric Nonlinear Equations
• New conjugacy conditions and related nonlinear conjugate gradient methods

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