Best approximate solutions of inconsistent linear inequality systems
From MaRDI portal
Publication:1639954
DOI10.1007/s10013-018-0275-1zbMath1391.65096OpenAlexW2791442232MaRDI QIDQ1639954
Marco A. López, Jean-Baptiste Hiriart-Urruty, Miguel Angel Goberna
Publication date: 13 June 2018
Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/165628
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Convex programming (90C25) Linear inequalities of matrices (15A39) Semi-infinite programming (90C34)
Related Items (7)
Duality for the robust sum of functions ⋮ Recent contributions to linear semi-infinite optimization ⋮ Hybrid algorithms with active set prediction for solving linear inequalities in a least squares sense ⋮ Miguel A. Goberna: ``The challenge was to bring Spanish research in mathematics to normality ⋮ Recent contributions to linear semi-infinite optimization: an update ⋮ Duality for constrained robust sum optimization problems ⋮ Primal-dual optimization conditions for the robust sum of functions with applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Han-type algorithms for inconsistent systems of linear inequalities -- a unified approach
- A hybrid algorithm for solving linear inequalities in a least squares sense
- Error bounds for inconsistent linear inequalities and programs
- Recent contributions to linear semi-infinite optimization
- The inexact fixed matrix iteration for solving large linear inequalities in a least squares sense
- A reformulation-linearization-convexification algorithm for optimal correction of an inconsistent system of linear constraints
- Robust solutions to multi-objective linear programs with uncertain data
- Post-Optimal Analysis in Linear Semi-Infinite Optimization
- Distance to ill-posedness for linear inequality systems under block perturbations: convex and infinite-dimensional cases
- Theory and Applications of Robust Optimization
- Variational Analysis
- Least squares solutions of linear inequality systems: a pedestrian approach
This page was built for publication: Best approximate solutions of inconsistent linear inequality systems
