Publikationen

Dr. rer. nat. Walter Gómez Bofill

Gómez Bofill, W.:
Über einparametrische Optimierungsprobleme (spezielle Einbettungen) und einparametrische Variationsungleichungen.
Dissertation, Humboldt-Universität zu Berlin, 1999.

Gómez Bofill, W.:
On the existence of solution paths for one-parametric variational inequalities
(submitted).

Gómez Bofill, W.:
On generic quadratic penalty embeddings for nonlinear optimization problems.
Optimization 50 (2001), 279-295.

Gómez Bofill, W.:
On a generic class of regular one-parametric variational inequalities.
Mathematical Methods of Operations Research 51 (2000) 2, 179-201.

Gómez Bofill, W.:
Properties of an interior embedding for solving nonlinear optimization problems.
Mathematical Programming 86 (1999), 649-695.

Dr. rer. nat. Stephan Görner

Görner, S:
Ein Hybridverfahren zur Lösung nichtlinearer semi-infiniter Optimierungsprobleme.
Dissertation, Technische Universität Berlin, 1997.

Görner, S., Potchinkov, A., Reemtsen, R.:
The direct solution of nonconvex nonlinear FIR filter design problems by a SIP method. Optimization and Engineering 1 (2000), 123-154.

Reemtsen, R., Görner, S.:
Numerical methods for semi-infinite programming: a survey.
In "Semi-Infinite Programming", R. Reemtsen and J.-J. Rückmann (Eds.), 195-275, Kluwer Academic Publishers, Boston/Dordrecht/London, 1998.

Dr. rer. nat. habil. Ivo Nowak

Nowak, I.:
Bounding indefinite quadratic forms over a simplex using Bezier methods and semidefinite programming. Erscheint in in Global Optimization.

Nowak, I.:
Numerical finiteness results for minimal surfaces in three-dimensional space forms.
Experimental Mathematics 6 (1997), No. 4, 301 - 315.

Nowak, I.:
A branch-and-bound algorithm for computing the global minimum of polynomials by Bernstein-Bezier patches on simplices. Technical Report, BTU Cottbus, M-09, 1996.

Dr. rer. nat. Stefan Paeck

Paeck, S.:
Konvex- und konkav-ähnliche Bedingungen in der Spiel- und Optimierungstheorie.
Berlin: Wissenschaft und Technik Verlag Gross. xiii, 168 S., 1996.

Prof. Dr.-Ing. habil. Alexander Potchinkov

Potchinkov, A.:
Ein Beitrag zur Optimierung im Filterentwurf. dissertation.de - Verlag im Internet GmbH, Habilitationssschrift, 2005.

Potchinkov, A.:
Der Entwurf digitaler FIR-Filter mit Methoden der semiinfiniten konvexen Optimierung. Dissertation, Technische Universität Berlin, Berlin, 1994.

Potchinkov, A., Reemtsen, R.:
Bicriterial design of digital filters.
Optimization and Engineering, 3 (2002), 5-29.

Görner, S., Potchinkov, A., Reemtsen, R.:
The direct solution of nonconvex nonlinear FIR filter design problems by a SIP method. Optimization and Engineering 1 (2000), 123-154.

Potchinkov, A.:
Frequency-domain equalization of audio systems using digital filters, Part 1: Basics of filter design.
Journal of the Audio Engineering Society 46 (1998), 977-987.

Potchinkov, A.:
Frequency-domain equalization of audio systems using digital filters, Part 2: Examples of equalization.
Journal of the Audio Engineering Society 46 (1998), 1092-1108.

Potchinkov, A.:
The Design of FIR Filters via Nonlinear Semi-Infinite Optimization.
Proceedings IEEE Nordic Signal Processing Symposium NORSIG 98, June 6-8, Vigso, Denmark, 149-152, 1998.

Potchinkov, A.:
The design of nonrecursive digital filters via convex optimization.
In "Semi-Infinite Programming", R. Reemtsen and J.-J. Rückmann (Eds.), Kluwer Academic Publishers: Boston/Dordrecht/London, 1998, 361-387.

Potchinkov, A:
Design of optimal linear phase FIR filters by a semi-infinite programming technique.
Signal Processing 58 (1997), 165-180.

Potchinkov, A:
Entwurf minimalphasiger nichtrekursiver digitaler Filter mit Verfahren der nichtlinearen Optimierung.
Frequenz 51 (1997), 132-137.

Reemtsen, R., Potchinkov, A.:
FIR filter design in regard to frequency response, magnitude, and phase by semi-infinite programming. In "Parametric Optimization and Related Topics IV", J. Guddat et. al. (Eds.), Peter Lang: Frankfurt, 1996, 299-314.

Potchinkov, A.:
Praxis teildigitaler frequenzbereichsentzerrter Antialiasingfilter.
DSP Deutschland 1995, Magna-Media Verlag, Haar bei München, 1995, 29-38.

Potchinkov, A.:
Teildigitale frequenzbereichsentzerrte Antialiasingfilter.
Frequenz 49 (1995), 275-282.

Prof. Dr. rer. nat. habil. Rembert Reemtsen

Dissertations und Habilitationsschrift

R. Reemtsen:
Charakterisierungen und Optimalitätskriterien für lokale Minima bei der Tschebyscheff-Approximation.
Dissertation, Technische Hochschule Darmstadt, 1978.

R. Reemtsen:
Defect Minimization in Operator Equations: Theory and Applications.
Habilitationsschrift, Technische Hochschule Darmstadt, 1986.

Bücher

R. Reemtsen:
Defect Minimization in Operator Equations: Theory and Applications. Pitman Research Notes in Mathematics Series, vol. 163, Longman Scientific & Technical, Harlow, Essex, and John Wiley & Sons, New York, 106 + ix S., 1987 (revidierte Fassung der Habilitationsschrift).

R. Reemtsen and J.-J. Rückmann, Eds.:
Semi-Infinite Programming. Kluwer Academic Publishers, Boston/Dordrecht/London, 411+ xvi S., 1998.

R. Reemtsen:
Lineare Optimierung. Eine Vorlesung.
Shaker Verlag, Aachen, 192 S., 2001.

Kurs

R. Reemtsen:
Einführung in die nichtlineare Optimierung.
Ein Kurs für die FernUniversität Hagen, 390 S., 2008.

Artikel

Reemtsen, R., Alber, M.:
Continuous optimization of beamlet intensities for photon and proton radiotherapy.
In "Handbook of Optimization in Medicine", P. M. Pardalos and H. E. Romeijn (Eds.), 83-112, Springer, Berlin, 2009.

Alber, M., Reemtsen, R.:
Intensity modulated radiotherapy treatment planning by use of a barrier-penalty multiplier method.
Optimization Methods and Software 22 (2007), 391-411.

Reemtsen, R., Alber, M.:
Optimierungsgestützte Bestrahlungsplanung für die Krebsbehandlung.
Forum der Forschung, Heft 18 (2005), 107-114.

Alber, M., Meedt, G., Nüsslin, F., Reemtsen, R:
On the degeneracy of the IMRT optimisation problem.
Medical Physics 29 (2002), 2584-2589.

Potchinkov, A., Reemtsen, R.:
Bicriterial design of digital filters.
Optimization and Engineering 3 (2002), 5-29.

Reemtsen, R.:
Design approximation problems for linear-phase nonrecursive digital filters.
Journal of Approximation Theory 116 (2002), 240-256.

Reemtsen, R.:
Frequency and magnitude response design approximation problems for nonlinear-phase nonrecursive digital filters.
Applicable Analysis 81 (2002), 357-390.

Reemtsen, R.:
FIR filter design problems of simultaneous approximation of magnitude and phase and magnitude and group delay.
Mathematical Methods in the Applied Sciences 24 (2001), 561-581

Reemtsen, R.:
Semi-infinite programming: Discretization methods.
In "Encyclopedia of Optimization", C. A. Floudas and P. M. Pardalos (Eds.), Vol. V, 101-107, Kluwer Academic Publishers, Boston/Dordrecht/London, 2001.

Görner, S., Potchinkov, A., Reemtsen, R.:
The direct solution of nonconvex nonlinear FIR filter design problems by a SIP method.
Optimization and Engineering 1 (2000), 123-154.

Reemtsen, R., Görner, S.:
Numerical methods for semi-infinite programming: a survey.
In "Semi-Infinite Programming", R. Reemtsen and J.-J. Rückmann (Eds.), 195-275, Kluwer Academic Publishers, Boston/Dordrecht/London, 1998.

Potchinkov, A., Reemtsen, R.:
The simultaneous approximation of magnitude and phase by FIR digital filters. I. A new approach.
International Journal of Circuit Theory and Applications 25 (1997), 167-177.

Potchinkov, A., Reemtsen, R.:
The simultaneous approximation of magnitude and phase by FIR digital filters. II. Methods and examples.
International Journal of Circuit Theory and Applications 25 (1997), 179-197. 

Reemtsen, R., Potchinkov, A.:
FIR filter design in regard to frequency response, magnitude, and phase by semi-infinite programming.
In "Parametric Optimization and Related Topics IV",
J. Guddat et. al. (Eds.), 299-314, Peter Lang, Frankfurt, 1996.

Potchinkov, A., Reemtsen, R.:
The design of FIR filters in the complex plane by convex optimization.
Signal Processing 46 (1995), 127-146.

Potchinkov, A., Reemtsen, R.:
FIR filter design in the complex domain by a semi-infinite programming technique. I. The method.
Archiv für Elektronik und Übertragungstechnik (AEÜ) 48 (1994), 135-144.

Potchinkov, A., Reemtsen, R.:
FIR filter design in the complex domain by a semi-infinite programming technique. II. Examples.
Archiv für Elektronik und Übertragungstechnik (AEÜ) 48 (1994), 200-209.

Reemtsen, R.:
Some outer approximation methods for semi-infinite optimization problems. Journal of Computational and Applied Mathematics 53 (1994), 87-108.

Potchinkov A. , Reemtsen, R.:
A globally most violated cutting plane method for complex minimax problems with application to digital filter design. Numerical Algorithms 5 (1993), 611-620.

Reemtsen, R.:
A cutting plane method for solving minimax problems in the complex plane. Numerical Algorithms 2 (1992), 409-436.

Reemtsen, R.:
Discretization methods for the solution of semi-infinite programming problems. Journal of Optimization Theory and Applications 71 (1991), 85-103.

Grigorieff, R., Reemtsen, R.:
Discrete approximations of minimization problems. I. Theory.
Numerical Functional Analysis and Optimization 11 (1990), 701-719.

Grigorieff, R., Reemtsen, R.:
Discrete approximations of minimization problems. II. Applications.
Numerical Functional Analysis and Optimization 11 (1990), 721-761.

Reemtsen, R.:
Modifications of the first Remez algorithm. SIAM Journal on Numerical Analysis 27 (1990), 507-518.

Reemtsen, R.:
A note on the regularization of discrete approximation problems. Journal of Approximation Theory 58 (1989), 352-357.

Reemtsen, R.:
On discretization errors in nonlinear approximation problems. Journal of Approximation Theory 49 (1987), 256-273.

Colton, D., Reemtsen, R.:
The numerical solution of the inverse Stefan problem in two space variables. SIAM Journal on Applied Mathematics 44 (1984), 996-1013.

Reemtsen, R., Kirsch, A.:
A method for the numerical solution of the one dimensional inverse Stefan problem. Numerische Mathematik 45 (1984), 253-273.

Colton, D., Reemtsen, R.:
A numerical method for solving the inverse Stefan problem in two space variables.
In "Improperly Posed Problems and their Numerical Treatment", G. Hämmerlin and K.-H. Hoffmann (Eds.), ISNM 63, 57-63, Birkhäuser, Basel/Boston/Stuttgart, 1983.

Reemtsen, R.:
On the convergence of a class of nonlinear approximation methods. Journal of Approximation Theory 36 (1982), 237-256.

Reemtsen, R.:
The method of minimizing the defects for the Stefan problem.
In "Numerical Treatment of Free Boundary Value Problems", J. Albrecht et al. (Eds.), ISNM 58, 245-253, Birkhäuser, Basel/Boston/Stuttgart, 1982.

Reemtsen, R., Lozano, C.:
An approximation technique for the numerical solution of a Stefan Problem. Numerische Mathematik 38 (1981), 141-154.

Reemtsen, R.:
On level sets and an approximation problem for the numerical solution of a free boundary problem. Computing 27 (1981), 27-35.

Lozano, C., Reemtsen, R.:
On a Stefan problem with an emerging free boundary. Numerical Heat Transfer 4 (1981), 239-245.

Reemtsen, R.:
Characterizations of local best Chebyshev approximations. Journal of Approximation Theory 33 (1981), 190-198.