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- Waltraud Huyer, Arnold Neumaier
- J. Global Optimization
- 1999

Inspired by a method by Jones et al. (1993), we present a global optimization algorithm based on multilevel coordinate search. It is guaranteed to converge if the function is continuous in the neighborhood of a global minimizer. By starting a local search from certain good points, an improved convergence result is obtained. We discuss implementation details… (More)

- Waltraud Huyer, Arnold Neumaier
- ACM Trans. Math. Softw.
- 2008

The software package SNOBFIT for bound-constrained (and soft-constrained) noisy optimization of an expensive objective function is described. It combines global and local search by branching and local fits. The program is made robust and flexible for practical use by allowing for hidden constraints, batch function evaluations, change of search regions, etc.

- Arnold Neumaier, Oleg Shcherbina, Waltraud Huyer, Tamás Vinkó
- Math. Program.
- 2005

Results are reported of testing a number of existing state of the art solvers for global constrained optimization and constraint satisfaction on a set of over 1000 test problems in up to 1000 variables.

- Waltraud Huyer, Arnold Neumaier
- SIAM Journal on Optimization
- 2003

For constrained smooth or nonsmooth optimization problems, new continuously differentiable penalty functions are derived. They are proved exact in the sense that under some nondegeneracy assumption, local optimizers of a nonlinear program are precisely the optimizers of the associated penalty function. This is achieved by augmenting the dimension of the… (More)

- Petr Posík, Waltraud Huyer, László Pál
- Evolutionary Computation
- 2012

Four methods for global numerical black box optimization with origins in the mathematical programming community are described and experimentally compared with the state of the art evolutionary method, BIPOP-CMA-ES. The methods chosen for the comparison exhibit various features that are potentially interesting for the evolutionary computation community:… (More)

- Petr Posík, Waltraud Huyer
- Evolutionary Computation
- 2012

Several local search algorithms for real-valued domains (axis parallel line search, Nelder-Mead simplex search, Rosenbrock's algorithm, quasi-Newton method, NEWUOA, and VXQR) are described and thoroughly compared in this article, embedding them in a multi-start method. Their comparison aims (1) to help the researchers from the evolutionary community to… (More)

In this report we compare two stochastic algorithms for global optimization, PGSL by Raphael & Smith [7] and global by Csendes [2] with the deterministic algorithm MCS by Huyer & Neumaier [4] on the test set used by Jones et al. [6], which consists of the seven standard test functions from Dixon & Szegö [3] and two test functions from Yao [8] with the… (More)

We consider a size-structured population model with discontinuous reproduction and feedback through the environmental variable \substrate". The model admits solutions with nitely many cohorts and in that case the problem is described by a system of ODEs involving a bifurcation parameter. Existence of nontrivial periodic n-cohort solutions is investigated.… (More)

- Waltraud Huyer, Arnold Neumaier
- Reliable Computing
- 2004

- Waltraud Huyer
- 1995

In this paper a variational version of the Trotter-Kato theorem is applied to an innnitesimal generator A of a C 0-semigroup in a Hilbert space that is assumed to be the sum of two linear operators A and B deened on the intersection of their domains, where A ? !I is m-dissipative for some ! > 0 and B is the generator of an analytic semigroup associated with… (More)