# 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

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

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: 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: 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: 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: 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: 10.1007/s10543-016-0632-y

Baharev, A, Neumaier, A & Schichl, H 2017, 'Failure Modes of Tearing and a Novel Robust Approach'.

Baharev, A, Schichl, H, Neumaier, A & Achterberg, T 2016, 'An exact method for the minimum feedback arc set problem' *Journal of Experimental Algorithmics*.

Baharev, A, Schichl, H & Neumaier, A 2016, 'Decomposition methods for solving sparse nonlinear systems of equations' *SIAM Review*.