Properties of a representation of a basis for the null space

DOI10.1007/BF01582244zbMath0579.65035OpenAlexW2030036522MaRDI QIDQ3702391

Margaret H. Wright, G. W. Stewart, Walter Murray, Philip E. Gill, Michael A. Saunders

Publication date: 1985

Published in: Mathematical Programming (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01582244

zbMATH Keywords

convergenceupdatingregularization methodfactorizationslocal convergenceHouseholder transformation

Mathematics Subject Classification ID

Related Items (8)

An analysis of reduced Hessian methods for constrained optimization ⋮ Continuity of the null space basis and constrained optimization ⋮ Smoothness properties of a regularized gap function for quasi-variational inequalities ⋮ On the local and global convergence of a reduced Quasi-Newton method¹ ⋮ A reduced Hessian SQP method for inequality constrained optimization ⋮ A feasible trust region method for nonlinear inequality constrained optimization ⋮ Convergence theory for nonconvex stochastic programming with an application to mixed logit ⋮ A trust region typed dogleg method for nonlinear optimization^*

Cites Work

• A note on the computation of an orthonormal basis for the null space of a matrix
• Procedures for optimization problems with a mixture of bounds and general linear constraints
• On the Local Convergence of a Quasi-Newton Method for the Nonlinear Programming Problem
• Nonlinear programming via an exact penalty function: Asymptotic analysis
• The Rotation of Eigenvectors by a Perturbation. III
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