A null space method for solving system of equations.

DOI10.1016/S0096-3003(03)00135-8zbMath1044.65041WikidataQ57806935 ScholiaQ57806935MaRDI QIDQ1427910

D. Massart

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

zbMATH Keywords

algorithmglobal convergencesystem of nonlinear equationsequality constraintsnonlinear programmingnull space methods

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

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Cites Work

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• On the convergence of Newton iterations to non-stationary points
• A Global Convergence Theory for General Trust-Region-Based Algorithms for Equality Constrained Optimization
• An only 2-step Q-superlinear convergence example for some algorithms that use reduced hessian approximations
• A Trust Region Algorithm for Equality Constrained Minimization: Convergence Properties and Implementation
• A recursive quadratic programming algorithm that uses differentiable exact penalty functions
• Trust-Region Interior-Point SQP Algorithms for a Class of Nonlinear Programming Problems
• On the Implementation of an Algorithm for Large-Scale Equality Constrained Optimization

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