On the solution of a two ball trust region subproblem

DOI10.1007/BF01582576zbMath0819.90067WikidataQ58048166 ScholiaQ58048166MaRDI QIDQ1332308

Matthias Heinkenschloss

Publication date: 8 September 1994

Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)

zbMATH Keywords

unconstrained optimizationGauss-Newton methodnonlinear least squarestrust region methodsnonlinear parameter identification problemstwo ball trust region subproblem

Mathematics Subject Classification ID

Quadratic programming (90C20) Computational methods for problems pertaining to operations research and mathematical programming (90-08)

Related Items (10)

State-Constrained Optimal Control for the Phase-Field Transition System ⋮ On KKT points of Celis-Dennis-Tapia subproblem ⋮ On Local Non-Global Minimizers of Quadratic Optimization Problem with a Single Quadratic Constraint ⋮ DC programming and DCA: thirty years of developments ⋮ Approximation of the phase-field transition system via fractional steps method ⋮ On a lagrange — Newton method for a nonlinear parabolic boundary control problem^∗ ⋮ An approach for minimizing a quadratically constrained fractional quadratic problem with application to the communications over wireless channels ⋮ Cheaper relaxation and better approximation for multi-ball constrained quadratic optimization and extension ⋮ A hybrid algorithm for the two-trust-region subproblem ⋮ Quadratic optimization with two ball constraints

Uses Software

• LSQR
• LINPACK
• GQTPAR
• CRAIG

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a subproblem of trust region algorithms for constrained optimization
• More results on the convergence of iterative methods for the symmetric linear complementarity problem
• Computing a Celis-Dennis-Tapia trust-region step for equality constrained optimization
• Solution of symmetric linear complementarity problems by iterative methods
• Estimation techniques for distributed parameter systems
• Computing a Trust Region Step
• A Constrained Least Squares Regularization Method for Nonlinear III-Posed Problems
• Global Convergence of a a of Trust-Region Methods for Nonconvex Minimization in Hilbert Space
• Truncated Singular Value Decomposition Solutions to Discrete Ill-Posed Problems with Ill-Determined Numerical Rank
• LSQR: An Algorithm for Sparse Linear Equations and Sparse Least Squares
• Local Minimizers of Quadratic Functions on Euclidean Balls and Spheres
• Mesh Independence for Nonlinear Least Squares Problems with Norm Constraints
• Inexact Newton methods for the nonlinear complementarity problem

This page was built for publication: On the solution of a two ball trust region subproblem