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  • 1994 (1)
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  • Zillober, Christian (4)
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An application of preconditioned conjugate gradients to relative placement in chip design (1993)
Kredler, Christian ; Zillober, Christian ; Johannes, Frank ; Sigl, Georg
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.
A globally convergent version of the method of moving asymptotes (1993)
Zillober, Christian
No abstract available
Numerical comparison of nonlinear programming algorithms for structural optimization (1994)
Schittkowski, K. ; Zillober, Christian ; Zotemantel, R.
No abstract available
Sequential convex programming in theory and praxis (1993)
Zillober, Christian
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.
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