My mathematical interests are Nonsmooth Optimization, Discrete and Computational Geometry, as well as (Numerical) Linear Algebra. For details check my publication list below.

**Preprints and work in progress:**

3. Manuel Radons, Josué Tonelli-Cueto: Generalized Perron Roots and Solvability of the Absolute Value Equation, arXiv:1912.08157 (2022)

2. Manuel Radons: Edge-unfolding nested prismatoids, arXiv:2105.00555 (2021)

1. Manuel Radons, Lutz Lehmann, Tom Streubel, Andreas Griewank: An Open Newton Method for Piecewise Smooth Functions, arXiv:1808.00213 (2018)

**Journal publications:**

8. Manuel Radons, Siegfried M. Rump: Convergence results for some piecewise linear solvers, to appear in Optimization Letters (2020)

7. Timo Burggraf, Michael Joswig, Marc E. Pfetsch, Manuel Radons, Stefan Ulbrich: Semi-automatically optimized calibration of internal combustion engines, Optim Eng 21, 73–106 (2020), arXiv:1806.10980v2

6. Manuel Radons: A note on surjectivity of piecewise affine mappings, Optim. Lett (2019) 13:439-443

5. Andreas Griewank, Tom Streubel, Lutz Lehmann, Manuel Radons, Richard Hasenfelder: Piecewise linear secant approximation via algorithmic piecewise differentiation, Optimization Methods and Software (2018) 33:1108-1126, arXiv:1701.04368v2

4. Andreas Griewank, Richard Hasenfelder, Manuel Radons, Lutz Lehmann, Tom Streubel: Integrating Lipschitzian Dynamical Systems using Piecewise Algorithmic Differentiation, Optimization Methods and Software (2018) 33:1089-1107

3. Manuel Radons: O(n) working precision inverses for symmetric tridiagonal Toeplitz matrices with O(1) floating point calculations, Optim. Lett (2018) 12: 425-434, arXiv:1701.00753v1

2. Manuel Radons: Direct solution of piecewise linear systems, Theoretical Computer Science, Volume 626, 2 May 2016, pp. 97-109, arXiv:1611.09643v1

1. Andreas Griewank, Jens-Uwe Bernt, Manuel Radons, Tom Streubel: Solving piecewise linear systems in abs-normal form, Linear Algebra and its Applications (2015) 471:500-530, arXiv:1611.08895v1

**Conference papers:**

2. Manuel Radons: Edge-unfolding nearly flat prismatoids, Booklet of abstracts of the YRF of the CG week 2021, pp. 44-47

1. Tom Streubel, Andreas Griewank, Manuel Radons, Jens-Uwe Bernt: Representation and Analysis of Piecewise Linear Functions in Abs-Normal Form, IFIP Advances in Information and Communication Technology (2014) 443:327-336

**Selected talks (* invited):**

16.* Nearly flat polytopes in the context of Dürer's conjecture, Facets of Complexity Monday Lecture and Colloquium, FU Berlin, February 7, 2022

15. Generalized Perron Roots and Solvability of the Absolute Value Equation, SIAM Meeting 2021, July 19-23, 2021

14.* Edge-unfolding nested prismatoids, Discrete Geometry Seminar, Technical University of Berlin, 23rd of June 2021

13. Edge-unfolding nearly flat prismatoids, YRF of the CG week 2021, June 7-11, 2021

12. Semi-automatically optimized calibration of internal combustion engines, DMV-Jahrestagung 2020, Technische Universität Chemnitz, September 14-17, 2020

11. Homotopy continuation for piecewise linear systems, SIGOPT 2020 Conference on Optimization, Technical University Dortmund, March 04-06, 2020

10. Generalized Perron Roots and Solvability of the Absolute Value Equation, MACIS 2019, Gebze Technical University in Gebze/Istanbul (Turkey), November 13-15, 2019

9. Edge-Unfolding Nearly Flat Prismatoids, DMV-Jahrestagung 2019, Karlsruher Institut für Technologie (KIT), September 23-26, 2019

8. Semi-automatically optimized calibration of internal combustion engines, ICCOPT 2019, Technical University of Berlin, August 3-8, 2019

7.* Semi-automatically optimized calibration of internal combustion engines, Numerical Mathematics Seminar, Technical University of Berlin, 17th of January 2019

6. An Open Newton Method for Piecewise Smooth Functions, 4th Conference on Optimization Methods and Software, December 2017, Havana, Cuba

5.* Piecewise linear methods in nonsmooth optimization, Discrete Geometry Seminar, Technical University of Berlin, 12th of April 2017

4. Sensitivity analysis for piecewise linear functions, 20th European Workshop on Automatic Differentiation, February 2017, INRIA Sophia-Antipolis, France

3. Additions to an AD-Based Linearization Framework (Poster Presentation), AD2016 - 7th International Conference on Algorithmic Differentiation, September 2016, Christ Church Oxford, UK

2. Recent Developments in PL Equation Solving, 15th European Workshop on Automatic Differentiation, June 2014, INRIA Sophia-Antipolis, France

1. Representation and Analysis of Piecewise Linear Functions in Abs-Normal Form, IFIP TC 7 / 2013 System Modelling and Optimization September 8-13, 2013, Klagenfurt, Austria

*Last Update: April 30, 2022*