A methodology for solving chemical equilibrium systems
Applied Mathematics and Computation
An Evaluation of Mathematical Software That Solves Systems of Nonlinear Equations
ACM Transactions on Mathematical Software (TOMS)
The rise of nonlinear mathematical programming
ACM Computing Surveys (CSUR) - Special issue: position statements on strategic directions in computing research
Algorithm 795: PHCpack: a general-purpose solver for polynomial systems by homotopy continuation
ACM Transactions on Mathematical Software (TOMS)
An Algorithm to Compute Inner Approximations of Relations for Interval Constraints
PSI '99 Proceedings of the Third International Andrei Ershov Memorial Conference on Perspectives of System Informatics
Universally Quantified Interval Constraints
CP '02 Proceedings of the 6th International Conference on Principles and Practice of Constraint Programming
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
Interval constraint solving for camera control and motion planning
ACM Transactions on Computational Logic (TOCL)
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
An interior-point affine-scaling trust-region method for semismooth equations with box constraints
Computational Optimization and Applications
A scaling algorithm for polynomial constraint satisfaction problems
Journal of Global Optimization
MAMECTIS'08 Proceedings of the 10th WSEAS international conference on Mathematical methods, computational techniques and intelligent systems
Spectral gradient projection method for monotone nonlinear equations with convex constraints
Applied Numerical Mathematics
Constrained Dogleg methods for nonlinear systems with simple bounds
Computational Optimization and Applications
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A system of nonlinear equations has been used as a test case by at least two authors. This system is purported to describe the equilibrium of the products of hydrocarbon combustion. The given system does not describe the stated physical problem, a fact which invalidates it as a test of solution methods for chemical equilibrium systems. In this note, the problem is correctly stated and then solved by the method of element variables.