%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 }