The smallest correction of an inconsistent system of linear inequalities
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Publication:1863862
DOI10.1023/A:1015370617219zbMath1050.90538MaRDI QIDQ1863862
Publication date: 12 March 2003
Published in: Optimization and Engineering (Search for Journal in Brave)
dual normspolar decompositionlinear inequalitiesduality relationspolar conesinconsistent systemsthe least correction problem
Numerical mathematical programming methods (65K05) Quadratic programming (90C20) Numerical linear algebra (65F99)
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On the choice of parameters in the residual method for the optimal correction of improper problems of convex optimization ⋮ The \(\ell_1\) solution of linear inequalities ⋮ Ergodic, primal convergence in dual subgradient schemes for convex programming. II: The case of inconsistent primal problems ⋮ The distance between two convex sets ⋮ Penalty function method and regularization in the analysis of improper convex programs ⋮ A hybrid algorithm for solving linear inequalities in a least squares sense ⋮ The inexact fixed matrix iteration for solving large linear inequalities in a least squares sense
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