Tikhonov regularization for infeasible absolute value equations

DOI10.1080/02331934.2016.1154963zbMath1346.90688OpenAlexW2328159846MaRDI QIDQ2817229

Saeed Ketabchi, Hossein Moosaei, Panos M. Pardalos

Publication date: 29 August 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2016.1154963

zbMATH Keywords

fractional programmingTikhonov regularizationsubgradientsabsolute value equationoptimal correction

Mathematics Subject Classification ID

Semidefinite programming (90C22) Nonconvex programming, global optimization (90C26) Fractional programming (90C32) Linear inequalities of matrices (15A39)

Related Items (8)

Efficiently solving total least squares with Tikhonov identical regularization ⋮ Numerical comparisons of smoothing functions for optimal correction of an infeasible system of absolute value equations ⋮ Absolute value equations with data uncertainty in the $l_1$ and $l_\infty$ norm balls ⋮ Optimal correction of infeasible equations system as Ax + B|x|= b using ℓ p-norm regularization ⋮ Unnamed Item ⋮ Semidefinite relaxation for the total least squares problem with Tikhonov-like regularization ⋮ Optimal correction of the absolute value equations ⋮ On the optimal correction of infeasible systems of linear inequalities

Cites Work

• Absolute value equations
• Absolute value programming
• A generalized Newton method for absolute value equations
• Global optimization of fractional programs
• On the minimum norm solution of linear programs
• Optimal error correction and methods of feasible directions
• Minimum norm solution to the absolute value equation in the convex case
• Linear complementarity as absolute value equation solution
• Complementary pivot theory of mathematical programming
• On equivalent reformulations for absolute value equations
• Parametric approach for correcting inconsistent linear equality system
• Correcting an inconsistent set of linear inequalities by the generalized Newton method
• Numerical Optimization
• Efficient Algorithms for Solution of Regularized Total Least Squares
• Tikhonov Regularization and Total Least Squares
• Minimum norm solution to the positive semidefinite linear complementarity problem
• On Nonlinear Fractional Programming
• Augmented Lagrangian method for large-scale linear programming problems

This page was built for publication: Tikhonov regularization for infeasible absolute value equations