A methodology for solving chemical equilibrium systems
Applied Mathematics and Computation
A pointwise quasi-Newton method for integral equations
SIAM Journal on Numerical Analysis
Chemical equilibrium systems as numerical test problems
ACM Transactions on Mathematical Software (TOMS)
An interior point potential reduction method for constrained equations
Mathematical Programming: Series A and B
Test Examples for Nonlinear Programming Codes
Test Examples for Nonlinear Programming Codes
An affine scaling trust-region approach to bound-constrained nonlinear systems
Applied Numerical Mathematics
STRSCNE: A Scaled Trust-Region Solver for Constrained Nonlinear Equations
Computational Optimization and Applications
Algorithm 832: UMFPACK V4.3---an unsymmetric-pattern multifrontal method
ACM Transactions on Mathematical Software (TOMS)
Subspace Trust-Region Methods for Large Bound-Constrained Nonlinear Equations
SIAM Journal on Numerical Analysis
On Affine-Scaling Interior-Point Newton Methods for Nonlinear Minimization with Bound Constraints
Computational Optimization and Applications
An interior-point affine-scaling trust-region method for semismooth equations with box constraints
Computational Optimization and Applications
SIAM Journal on Numerical Analysis
An affine-scaling interior-point CBB method for box-constrained optimization
Mathematical Programming: Series A and B
A Gauss-Newton method for solving bound-constrained underdetermined nonlinear systems
Optimization Methods & Software - THE JOINT EUROPT-OMS CONFERENCE ON OPTIMIZATION, 4-7 JULY, 2007, PRAGUE, CZECH REPUBLIC, PART II
Trust-region quadratic methods for nonlinear systems of mixed equalities and inequalities
Applied Numerical Mathematics
An interior-point method for solving box-constrained underdetermined nonlinear systems
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
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We focus on the numerical solution of medium scale bound-constrained systems of nonlinear equations. In this context, we consider an affine-scaling trust region approach that allows a great flexibility in choosing the scaling matrix used to handle the bounds. The method is based on a dogleg procedure tailored for constrained problems and so, it is named Constrained Dogleg method. It generates only strictly feasible iterates. Global and locally fast convergence is ensured under standard assumptions. The method has been implemented in the Matlab solver CoDoSol that supports several diagonal scalings in both spherical and elliptical trust region frameworks. We give a brief account of CoDoSol and report on the computational experience performed on a number of representative test problems.