Dr. Hermann Schichl

Faculty of Mathematics
University of Vienna
Room 04.135
Oskar-Morgenstern-Platz 1
1090 Wien, Austria

mail: hermann.schichl@univie.ac.at
phone: +43 1 4277 50666
web: personal homepage

Associate Professor (Mathematics)

Research area in the program
Global Optimization

Keywords

Global Optimization
Nonsmooth Optimization
Mathematical Modelling
Didactics of Mathematics

Research Interests

Global Optimization

Robust Optimization

Nonsmooth Optimization

Parametric Optimization

Mixed Integer Nonlinear Programming

Constraint Programming

Know-how and infrastructure of the research group

Hermann Schichl's expertise is in the area of global optimization and software development, in particular in the development of complete and rigorous algorithms based on branch-and-bound/reduce methods. He developed and maintains the COCONUT-Environment, a public domain software platform for global optimization algorithms, and of the state-of-the-art solvers cocos and coco_gop_ex (together with M. Cs. Markot) based on the API of the COCONUT Environment. The complete and rigorous algorithms developed are of particular importance in applications such as stability and design in robotics, fluid phase behaviour in chemical engineering, worst case studies in mechanical engineering, since they are the only methods which guarantee to not miss the global optimizer, avoiding disastrous consequences.

Collaborations within the VGSCO

A. Neumaier and I. Bomze on global optimization.

R. Bot on nonsmooth optimization.

Scientific CV

Mar 12, 1999: promotio sub auspiciis praesidentis rei publicae

1987-1992: Alcatel Austria - Elin Research Center, Consultant for the Dept. of Software Engineering, altogether 21 months

1988-1990: Teaching Assistant, Department of Applied Mathematics and Numerical Analysis, Vienna University of Technology

1992-1996: Assistant Professor (part time), Dep. of Mathematics, Univ. Vienna

1997: Interruption on grounds of ill health

1998: Scientific consultant for Lucent Technologies, Murray Hill, NJ, United States

May 98-Mar 04: Assistant Professor, Dep. of Mathematics, Univ. Vienna

2000: Interruption on grounds of ill health

since Mar 04: Associate Professor, Faculty of Mathematics, Univ. Vienna

Publications

Baharev, A, Neumaier, A & Schichl, H 2019, 'A manifold-based approach to sparse global constraint satisfaction problems', Journal of Global Optimization, vol. 75, no. 4, pp. 949-971. doi.org/10.1007/s10898-019-00805-x

Montanher, TDM, Neumaier, A , Markot, M, Domes, F & Schichl, H 2019, 'Rigorous packing of unit squares into a circle', Journal of Global Optimization, vol. 73, pp. 547 - 565. doi.org/10.1007/s10898-018-0711-5

Ponleitner, B & Schichl, H 2018, 'Exclusion regions for parameter-dependent systems of equations', arXiv.

Schichl, H & Steinbauer, R 2018, Einführung in das mathematische Arbeiten: 3., überarbeitete Auflage. Springer Spektrum.

Domes, F, Montanher, TDM, Schichl, H & Neumaier, A 2018, Rigorous global filtering methods with interval unions. in Beyond Traditional Probabilistic Data Processing Techniques: Interval, Fuzzy, etc. Methods and Their Applications.

Schichl, H, Fendl, H & Neumaier, A 2017, 'Certificates of infeasibility via nonsmooth optimization', Journal of Global Optimization, vol. 69, no. 1, pp. 157–182. doi.org/10.1007/s10898-016-0473-x

Montanher, TDM, Domes, F, Schichl, H & Neumaier, A 2017, 'Using interval unions to solve linear systems of equations with uncertainties', BIT Numerical Mathematics, vol. 57, no. 3, pp. 901-926. doi.org/10.1007/s10543-017-0657-x

Baharev, A, Neumaier, A & Schichl, H 2017, 'Failure Modes of Tearing and a Novel Robust Approach', Linköping Electronic Conference Proceedings, no. 132, 39, pp. 353-362. doi.org/10.3384/ecp17132353

Baharev, A, Schichl, H & Rév, E 2017, 'Computing the noncentral-F distribution and the power of the F-test with guaranteed accuracy', Computational Statistics, vol. 32, no. 2, pp. 763–779. doi.org/10.1007/s00180-016-0701-3

Schichl, H, Domes, F, Montanher, TDM & Kofler, K 2017, 'Interval unions', BIT Numerical Mathematics, vol. 57, no. 2, pp. 531–556. doi.org/10.1007/s10543-016-0632-y