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Raport Badawczy = Research Report ; RB/71/2007
Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences
23 pages ; 21 cm ; Bibliography p. 22-23
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.
Raport Badawczy = Research Report
Creative Commons Attribution BY 4.0 license
Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -
Systems Research Institute of the Polish Academy of Sciences
Library of Systems Research Institute PAS
Oct 19, 2021
Sep 17, 2020
96
https://rcin.org.pl./publication/175228
Kiwiel, Krzysztof
Kiwiel, Krzysztof Lemarechal, Claude
Kiwiel, Krzysztof
Kiwiel, Krzysztof
Kiwiel, Krzysztof