The method of moving asymptotes (MMA) which is known to work excellently for solving structural optimization problems has one main disadvantage: convergence cannot be guaranteed and in practical use this fact sometimes leads to unsatisfactory results. In this paper we prove a global convergence theorem for a new method which consists iteratively of the solution of the known MMA-subproblem and a line search performed afterwards.
Full Text PDF:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\KJCQSNTS\Zillober - 1993 - A globally convergent version of the method of mov.pdf:application/pdf;Snapshot:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\J8TIBQ8D\10.html:text/html
%0 Journal Article
%1 zillober_globally_1993
%A Zillober, C.
%D 1993
%J Structural optimization
%K ({CAD}, Applied Civil Computational Computer-Aided Design, Engineering Engineering, Mechanics Methods Numerical Theoretical and in {CAE)}
%N 3
%P 166--174
%R 10.1007/BF01743509
%T A globally convergent version of the method of moving asymptotes
%U http://link.springer.com/article/10.1007/BF01743509
%V 6
%X The method of moving asymptotes (MMA) which is known to work excellently for solving structural optimization problems has one main disadvantage: convergence cannot be guaranteed and in practical use this fact sometimes leads to unsatisfactory results. In this paper we prove a global convergence theorem for a new method which consists iteratively of the solution of the known MMA-subproblem and a line search performed afterwards.
@article{zillober_globally_1993,
abstract = {The method of moving asymptotes ({MMA)} which is known to work excellently for solving structural optimization problems has one main disadvantage: convergence cannot be guaranteed and in practical use this fact sometimes leads to unsatisfactory results. In this paper we prove a global convergence theorem for a new method which consists iteratively of the solution of the known {MMA-subproblem} and a line search performed afterwards.},
added-at = {2013-01-26T11:35:39.000+0100},
author = {Zillober, C.},
biburl = {https://www.bibsonomy.org/bibtex/2fcbf5ac62a4d4da8db8ff73dd0c790f2/bhessen},
doi = {10.1007/BF01743509},
file = {Full Text PDF:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\KJCQSNTS\Zillober - 1993 - A globally convergent version of the method of mov.pdf:application/pdf;Snapshot:C:\Users\hessenauer\AppData\Roaming\Mozilla\Firefox\Profiles\1h9szxht.firefox4\zotero\storage\J8TIBQ8D\10.html:text/html},
interhash = {423684ff1d415192c3dee699a1f97e0f},
intrahash = {fcbf5ac62a4d4da8db8ff73dd0c790f2},
issn = {0934-4373, 1615-1488},
journal = {Structural optimization},
keywords = {({CAD}, Applied Civil Computational Computer-Aided Design, Engineering Engineering, Mechanics Methods Numerical Theoretical and in {CAE)}},
language = {en},
month = sep,
number = 3,
pages = {166--174},
timestamp = {2013-01-26T11:35:59.000+0100},
title = {A globally convergent version of the method of moving asymptotes},
url = {http://link.springer.com/article/10.1007/BF01743509},
urldate = {2013-01-24},
volume = 6,
year = 1993
}