SIAM Journal on Numerical Analysis
Chemical equilibrium systems as numerical test problems
ACM Transactions on Mathematical Software (TOMS)
SIAM Journal on Numerical Analysis
A nonsmooth version of Newton's method
Mathematical Programming: Series A and B
Convergence analysis of some algorithms for solving nonsmooth equations
Mathematics of Operations Research
Inexact trust region method for large sparse systems of nonlinear equations
Journal of Optimization Theory and Applications
Mathematical Programming: Series A and B
A limited memory algorithm for bound constrained optimization
SIAM Journal on Scientific Computing
Inexact Newton methods for solving nonsmooth equations
Proceedings of the international meeting on Linear/nonlinear iterative methods and verification of solution
A semismooth equation approach to the solution of nonlinear complementarity problems
Mathematical Programming: Series A and B
Family of projected descent methods for optimization problems with simple bounds
Journal of Optimization Theory and Applications
Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization
ACM Transactions on Mathematical Software (TOMS)
SIAM Journal on Control and Optimization
Iterative solution of nonlinear equations in several variables
Iterative solution of nonlinear equations in several variables
Numerical Solution of Nonlinear Equations
ACM Transactions on Mathematical Software (TOMS)
Trust-region methods
SIAM Journal on Control and Optimization
A Truncated Newton Algorithm for Large Scale Box Constrained Optimization
SIAM Journal on Optimization
A New Merit Function For Nonlinear Complementarity Problems And A Related Algorithm
SIAM Journal on Optimization
An Active Set Newton Algorithm for Large-Scale Nonlinear Programs with Box Constraints
SIAM Journal on Optimization
Newton's Method for Large Bound-Constrained Optimization Problems
SIAM Journal on Optimization
Pattern Search Algorithms for Bound Constrained Minimization
SIAM Journal on Optimization
An affine scaling trust-region approach to bound-constrained nonlinear systems
Applied Numerical Mathematics
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
Introduction to Numerical Continuation Methods
Introduction to Numerical Continuation Methods
STRSCNE: A Scaled Trust-Region Solver for Constrained Nonlinear Equations
Computational Optimization and Applications
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
On Affine-Scaling Interior-Point Newton Methods for Nonlinear Minimization with Bound Constraints
Computational Optimization and Applications
Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities
Applied Numerical Mathematics
Computers & Mathematics with Applications
Constrained Dogleg methods for nonlinear systems with simple bounds
Computational Optimization and Applications
Smoothing SQP algorithm for semismooth equations with box constraints
Computational Optimization and Applications
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An algorithm for the solution of a semismooth system of equations with box constraints is described. The method is an affine-scaling trust-region method. All iterates generated by this method are strictly feasible. In this way, possible domain violations outside or on the boundary of the box are avoided. The method is shown to have strong global and local convergence properties under suitable assumptions, in particular, when the method is used with a special scaling matrix. Numerical results are presented for a number of problems arising from different areas.