@misc{Kiwiel_Krzysztof_A_2007,
 author={Kiwiel, Krzysztof},
 copyright={Creative Commons Attribution BY 4.0 license},
 address={Warszawa},
 journal={Raport Badawczy = Research Report},
 howpublished={online},
 year={2007},
 publisher={Instytut Badań Systemowych. Polska Akademia Nauk},
 publisher={Systems Research Institute. Polish Academy of Sciences},
 language={eng},
 abstract={The paper presents a proximal bundle method for constrained convex optimization. It requires only evaluating the problem functions and their subgradients with an unkown accuracy ε. Employing a combination of the classic method of centers' improvement function with an exact penalty function, it does not need a feasible starting point. It asymptotically finds points with at least ε-optimal objective values that are ε-feasible. When applied to the solution of linear programming problems via column generation, it allows for ε-accurate solutions of column generation subproblems.},
 type={Text},
 title={A Method of Centers with Approximate Subgradient Linearizations for Nonsmooth Convex Optimization},
 URL={http://rcin.org.pl/Content/139758/PDF/RB-2007-71.pdf},
 keywords={Nondifferentiable optimization, Optymalizacja niezróżnicowana, Convex programming, Programowanie wypukłe, Proximal bundle methods, Approximate subgradients, Column generation, Aproksymacja subgradientowa, Generowanie kolumn},
}