Parametric approach for correcting inconsistent linear equality system

DOI10.1080/10556788.2014.885520zbMath1298.90102OpenAlexW2041242049MaRDI QIDQ2926085

Saeed Ketabchi, Malihe Behboodi-Kahoo

Publication date: 29 October 2014

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2014.885520

zbMATH Keywords

generalized Newton methodtrust region subproblemfractional optimizationinconsistent linear system

Mathematics Subject Classification ID

Nonlinear programming (90C30) Sensitivity, stability, parametric optimization (90C31) Linear inequalities of matrices (15A39)

Related Items (3)

\(l_{p}\)-norm regularization method (\( 0<p<1 \)) and DC programming for correction system of inconsistency linear inequalities ⋮ Optimal correction of infeasible equations system as Ax + B|x|= b using ℓ p-norm regularization ⋮ Tikhonov regularization for infeasible absolute value equations

Cites Work

• A short note on \(\min_{x\in \mathbb{R}^n}\frac{\| Ax-b\|^2}{1+\| x \| ^2}\)
• On linear infeasibility arising in intensity-modulated radiation therapy inverse planning
• Computing a Trust Region Step
• Algorithm 873
• Correcting an inconsistent set of linear inequalities by the generalized Newton method
• Newton’s Method with a Model Trust Region Modification
• Trust Region Methods
• The trust region subproblem and semidefinite programming*
• Solving the Trust-Region Subproblem using the Lanczos Method
• On the Solution of the Tikhonov Regularization of the Total Least Squares Problem
• On Nonlinear Fractional Programming

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