A convergence analysis of hybrid gradient projection algorithm for constrained nonlinear equations with applications in compressed sensing

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Derivative-free methods and methods using generalized derivatives (90C56) Numerical optimization and variational techniques (65K10) Numerical computation of solutions to systems of equations (65H10)

Cites Work

Unnamed Item
Non-smooth equations based method for \(\ell_1\)-norm problems with applications to compressed sensing
A new smoothing Newton method for solving constrained nonlinear equations
Spectral residual methods with two new non-monotone line searches for large-scale nonlinear systems of equations
Active-set projected trust-region algorithm for box-constrained nonsmooth equations
A smoothing Newton-type method for solving the \(L _{2}\) spectral estimation problem with lower and upper bounds
A positive spectral gradient-like method for large-scale nonlinear monotone equations
A new class of nonmonotone adaptive trust-region methods for nonlinear equations with box constraints
An efficient three-term conjugate gradient method for nonlinear monotone equations with convex constraints
A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems
A hybrid three-term conjugate gradient projection method for constrained nonlinear monotone equations with applications
A note on the spectral gradient projection method for nonlinear monotone equations with applications
A Barzilai-Borwein gradient projection method for sparse signal and blurred image restoration
Some modified Hestenes-Stiefel conjugate gradient algorithms with application in image restoration
Global convergence via descent modified three-term conjugate gradient projection algorithm with applications to signal recovery
A family of modified spectral projection methods for nonlinear monotone equations with convex constraint
A conjugate gradient method to solve convex constrained monotone equations with applications in compressive sensing
Two spectral gradient projection methods for constrained equations and their linear convergence rate
Spectral gradient projection method for monotone nonlinear equations with convex constraints
A family of spectral gradient methods for optimization
A derivative-free iterative method for nonlinear monotone equations with convex constraints
Three derivative-free projection methods for nonlinear equations with convex constraints
A generalized hybrid CGPM-based algorithm for solving large-scale convex constrained equations with applications to image restoration
A Dai-Liao-type projection method for monotone nonlinear equations and signal processing
Monotonicity of Fixed Point and Normal Mappings Associated with Variational Inequality and Its Application
The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
Two-Point Step Size Gradient Methods
A New Projection Method for Variational Inequality Problems
Newton-type Methods with Generalized Distances For Constrained Optimization
Nonmonotone Spectral Methods for Large-Scale Nonlinear Systems
Compressed sensing
Benchmarking optimization software with performance profiles.
Another hybrid approach for solving monotone operator equations and application to signal processing

This page was built for publication: A convergence analysis of hybrid gradient projection algorithm for constrained nonlinear equations with applications in compressed sensing