A globally convergent BFGS method for nonlinear monotone equations without any merit functions
From MaRDI portal
Publication:3055067
DOI10.1090/S0025-5718-08-02121-2zbMath1203.90180OpenAlexW1977194936MaRDI QIDQ3055067
Publication date: 7 November 2010
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-08-02121-2
Related Items (60)
An efficient DY-type spectral conjugate gradient method for system of nonlinear monotone equations with application in signal recovery ⋮ New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications ⋮ A PRP-based residual method for large-scale monotone nonlinear equations ⋮ A modified Hager-Zhang conjugate gradient method with optimal choices for solving monotone nonlinear equations ⋮ A three-term derivative-free projection method for nonlinear monotone system of equations ⋮ Derivative-free method for bound constrained nonlinear monotone equations and its application in solving steady state reaction-diffusion problems ⋮ A positive spectral gradient-like method for large-scale nonlinear monotone equations ⋮ A derivative-free three-term Hestenes–Stiefel type method for constrained nonlinear equations and image restoration ⋮ A modified Liu-Storey-conjugate descent hybrid projection method for convex constrained nonlinear equations and image restoration ⋮ A modulus-based nonmonotone line search method for nonlinear complementarity problems ⋮ A regularized semi-smooth Newton method with projection steps for composite convex programs ⋮ Two derivative-free projection approaches for systems of large-scale nonlinear monotone equations ⋮ A note on the spectral gradient projection method for nonlinear monotone equations with applications ⋮ New cautious BFGS algorithm based on modified Armijo-type line search ⋮ A derivative-free multivariate spectral projection algorithm for constrained nonlinear monotone equations ⋮ A descent Dai-Liao conjugate gradient method for nonlinear equations ⋮ An inertial spectral CG projection method based on the memoryless BFGS update ⋮ New three-term conjugate gradient algorithm for solving monotone nonlinear equations and signal recovery problems ⋮ A new inertial-based method for solving pseudomonotone operator equations with application ⋮ A spectral algorithm for large-scale systems of nonlinear monotone equations ⋮ Another hybrid approach for solving monotone operator equations and application to signal processing ⋮ A projection-based derivative free DFP approach for solving system of nonlinear convex constrained monotone equations with image restoration applications ⋮ Unnamed Item ⋮ A derivative‐free projection method for nonlinear equations with non‐Lipschitz operator: Application to LASSO problem ⋮ Accelerated Dai-Liao projection method for solving systems of monotone nonlinear equations with application to image deblurring ⋮ A Five-Parameter Class of Derivative-Free Spectral Conjugate Gradient Methods for Systems of Large-Scale Nonlinear Monotone Equations ⋮ Modified three-term derivative-free projection method for solving nonlinear monotone equations with application ⋮ A Shamanskii-like self-adaptive Levenberg-Marquardt method for nonlinear equations ⋮ New nonsmooth equations-based algorithms for \(\ell_1\)-norm minimization and applications ⋮ An accelerated conjugate gradient algorithm for solving nonlinear monotone equations and image restoration problems ⋮ A gradient projection method for the sparse signal reconstruction in compressive sensing ⋮ Sufficient descent conjugate gradient methods for solving convex constrained nonlinear monotone equations ⋮ Globally Convergent Type-I Anderson Acceleration for Nonsmooth Fixed-Point Iterations ⋮ PRP-like algorithm for monotone operator equations ⋮ FR type methods for systems of large-scale nonlinear monotone equations ⋮ A modified Perry's conjugate gradient method-based derivative-free method for solving large-scale nonlinear monotone equations ⋮ Refraction-corrected ray-based inversion for three-dimensional ultrasound tomography of the breast ⋮ A modified Hestenes-Stiefel projection method for constrained nonlinear equations and its linear convergence rate ⋮ A new derivative-free SCG-type projection method for nonlinear monotone equations with convex constraints ⋮ A globally convergent derivative-free projection method for nonlinear monotone equations with applications ⋮ Two optimal Hager-Zhang conjugate gradient methods for solving monotone nonlinear equations ⋮ A derivative-free three-term projection algorithm involving spectral quotient for solving nonlinear monotone equations ⋮ New BFGS method for unconstrained optimization problem based on modified Armijo line search ⋮ A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing ⋮ Non-smooth equations based method for \(\ell_1\)-norm problems with applications to compressed sensing ⋮ A projection method for convex constrained monotone nonlinear equations with applications ⋮ A global convergent quasi-Newton method for systems of monotone equations ⋮ Spectral modified Polak-Ribiére-Polyak projection conjugate gradient method for solving monotone systems of nonlinear equations ⋮ Scaled three-term derivative-free methods for solving large-scale nonlinear monotone equations ⋮ A modified scaled spectral-conjugate gradient-based algorithm for solving monotone operator equations ⋮ Self adaptive spectral conjugate gradient method for solving nonlinear monotone equations ⋮ A conjugate gradient projection method for solving equations with convex constraints ⋮ A class of new derivative-free gradient type methods for large-scale nonlinear systems of monotone equations ⋮ A method with inertial extrapolation step for convex constrained monotone equations ⋮ A modified PRP-type conjugate gradient projection algorithm for solving large-scale monotone nonlinear equations with convex constraint ⋮ A derivative-free iterative method for nonlinear monotone equations with convex constraints ⋮ A family of inertial-relaxed DFPM-based algorithms for solving large-scale monotone nonlinear equations with application to sparse signal restoration ⋮ A genetic algorithm with a self-reproduction operator to solve systems of nonlinear equations ⋮ An efficient conjugate gradient-based algorithm for unconstrained optimization and its projection extension to large-scale constrained nonlinear equations with applications in signal recovery and image denoising problems ⋮ Modified optimal Perry conjugate gradient method for solving system of monotone equations with applications
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The global convergence of partitioned BFGS on problems with convex decompositions and Lipschitzian gradients
- Variable metric algorithms: Necessary and sufficient conditions for identical behaviour of nonquadratic functions
- Monotonicity of Fixed Point and Normal Mappings Associated with Variational Inequality and Its Application
- On the Global Convergence of the BFGS Method for Nonconvex Unconstrained Optimization Problems
- Global convergence of the partitioned BFGS algorithm for convex partially separable optimization
- The “global” convergence of Broyden-like methods with suitable line search
- Global Convergence of a Cass of Quasi-Newton Methods on Convex Problems
- Quasi-Newton Algorithms with Updates from the Preconvex Part of Broyden's Family
- A Tool for the Analysis of Quasi-Newton Methods with Application to Unconstrained Minimization
- Updating Quasi-Newton Matrices with Limited Storage
- Quasi-Newton Methods, Motivation and Theory
- BFGS with Update Skipping and Varying Memory
- Newton-type Methods with Generalized Distances For Constrained Optimization
- 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
- On the Local and Superlinear Convergence of Quasi-Newton Methods
- A Characterization of Superlinear Convergence and Its Application to Quasi-Newton Methods
- Descent Directions of Quasi-Newton Methods for Symmetric Nonlinear Equations
- Convergence Properties of the BFGS Algoritm
- A Class of Methods for Solving Nonlinear Simultaneous Equations
- On the Convergence of the Variable Metric Algorithm
- A modified BFGS method and its global convergence in nonconvex minimization
This page was built for publication: A globally convergent BFGS method for nonlinear monotone equations without any merit functions