@inproceedings{Zillober1993, author = {Zillober, Christian}, title = {Sequential convex programming in theory and praxis}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-35513}, year = {1993}, abstract = {In this paper, convex approximation methods, suclt as CONLIN, the method of moving asymptotes (MMA) and a stabilized version of MMA (Sequential Convex Programming), are discussed with respect to their convergence behaviour. In an extensive numerical study they are :finally compared with other well-known optimization methods at 72 examples of sizing problems.}, language = {en} } @article{KredlerZilloberJohannesetal.1993, author = {Kredler, Christian and Zillober, Christian and Johannes, Frank and Sigl, Georg}, title = {An application of preconditioned conjugate gradients to relative placement in chip design}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-31996}, year = {1993}, abstract = {In distance geometry problems and many other applications, we are faced with the optimization of high-dimensional quadratic functions subject to linear equality constraints. A new approach is presented that projects the constraints, preserving sparsity properties of the original quadratic form such that well-known preconditioning techniques for the conjugate gradient method remain applicable. Very-largescale cell placement problems in chip design have been solved successfully with diagonal and incomplete Cholesky preconditioning. Numerical results produced by a FORTRAN 77 program illustrate the good behaviour of the algorithm.}, language = {en} } @article{Zillober1993, author = {Zillober, Christian}, title = {A globally convergent version of the method of moving asymptotes}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-31984}, year = {1993}, abstract = {No abstract available}, language = {en} }