Piecewise-linear pathways to the optimal solution set in linear programming
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Publication:1357530
DOI10.1023/A:1022651331550zbMath0873.90066OpenAlexW198845011MaRDI QIDQ1357530
Publication date: 7 July 1997
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1022651331550
continuation algorithmquadratic penalty functionsfinite penalty algorithmleast-norm algorithmpiecewise-linear path-following algorithms
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Linear programming with nonparametric penalty programs and iterated thresholding, A penalty continuation method for the \(\ell_\infty\) solution of overdetermined linear systems, A Newton method for linear programming, A global error bound for quadratic perturbation of linear programs
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Cites Work
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- Linear programming via least squares
- A penalty linear programming method using reduced-gradient basis-exchange techniques
- Gauss-Seidel method for least-distance problems
- Duality results and proximal solutions of the Huber \(M\)-estimator problem
- Variation of the penalty coefficient in linear programming problems
- Finite algorithms for robust linear regression
- Normal solutions of linear programs
- Finite Algorithms for Huber’sM-Estimator
- Nonlinear Perturbation of Linear Programs
- Necessary and sufficient conditions for a penalty method to be exact
- Linear Programming via a Nondifferentiable Penalty Function
- The Linear l1 Estimator and the Huber M-Estimator
- A New Finite Continuation Algorithm for Linear Programming
- A Finite Smoothing Algorithm for Linear $l_1 $ Estimation