Truncated regularized Newton method for convex minimizations

DOI10.1007/s10589-007-9128-7zbMath1176.90461OpenAlexW2102853500MaRDI QIDQ842780

Ying-Jie Li, Dong-hui Li

Publication date: 25 September 2009

Published in: Computational Optimization and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10589-007-9128-7

zbMATH Keywords

convex minimizationregularized Newton methodtruncated conjugate gradient strategy

Mathematics Subject Classification ID

Convex programming (90C25) Methods of quasi-Newton type (90C53)

Related Items (6)

Newton-MR: inexact Newton method with minimum residual sub-problem solver ⋮ An inexact proximal regularization method for unconstrained optimization ⋮ Convergence properties of the regularized Newton method for the unconstrained nonconvex optimization ⋮ Local convergence analysis of a primal-dual method for bound-constrained optimization without SOSC ⋮ A new regularized quasi-Newton method for unconstrained optimization ⋮ A regularized Newton method without line search for unconstrained optimization

Uses Software

• L-BFGS
• levmar
• tn

Cites Work

• A truncated nonmonotone Gauss-Newton method for large-scale nonlinear least-squares problems
• On the convergence of an inexact Newton-type method
• Assessing a search direction within a truncated Newton method
• Local behavior of an iterative framework for generalized equations with nonisolated solutions
• A survey of truncated-Newton methods
• Levenberg-Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
• On the quadratic convergence of the Levenberg-Marquardt method without nonsingularity assumption
• Superlinear convergence of a Newton-type algorithm for monotone equations
• Regularized Newton methods for convex minimization problems with singular solutions
• Truncated-Newton algorithms for large-scale unconstrained optimization
• A Numerical Study of the Limited Memory BFGS Method and the Truncated-Newton Method for Large Scale Optimization
• Convergence Properties of the Inexact Levenberg-Marquardt Method under Local Error Bound Conditions
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