Tatjana Stykel

Publication Activity (10 Years)

Years Active: 2004-2024
Publications (10 Years): 17

Top Topics

Euclidean Metric

Euclidean Space

Sensitivity Analysis

Top Venues

SIAM J. Matrix Anal. Appl.

J. Comput. Appl. Math.

Adv. Comput. Math.

Publications

Robert Altmann, Daniel Peterseim, Tatjana Stykel
Riemannian Newton Methods for Energy Minimization Problems of Kohn-Sham Type. J. Sci. Comput. 101 (1) (2024)
Bin Gao, Nguyen Thanh Son, Tatjana Stykel
Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods. CoRR (2024)
Robert Altmann, Daniel Peterseim, Tatjana Stykel
Riemannian Newton methods for energy minimization problems of Kohn-Sham type. CoRR (2023)
Bin Gao, Nguyen Thanh Son, Tatjana Stykel
Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications. CoRR (2022)
Mian Muhammad Arsalan Asif, Mian Ilyas Ahmad, Peter Benner, Lihong Feng, Tatjana Stykel
Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. J. Frankl. Inst. 358 (3) (2021)
Robert Altmann, Daniel Peterseim, Tatjana Stykel
Energy-adaptive Riemannian optimization on the Stiefel manifold. CoRR (2021)
Nguyen Thanh Son, Pierre-Antoine Absil, Bin Gao, Tatjana Stykel
Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization. SIAM J. Matrix Anal. Appl. 42 (4) (2021)
Bin Gao, Nguyen Thanh Son, Pierre-Antoine Absil, Tatjana Stykel
Geometry of the Symplectic Stiefel Manifold Endowed with the Euclidean Metric. GSI (2021)
Bin Gao, Nguyen Thanh Son, Pierre-Antoine Absil, Tatjana Stykel
Riemannian Optimization on the Symplectic Stiefel Manifold. SIAM J. Optim. 31 (2) (2021)
Roland Pulch, Akil Narayan, Tatjana Stykel
Sensitivity analysis of random linear differential-algebraic equations using system norms. J. Comput. Appl. Math. 397 (2021)
Nguyen Thanh Son, Pierre-Yves Gousenbourger, Estelle M. Massart, Tatjana Stykel
Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches. CoRR (2020)
Johanna Kerler-Back, Tatjana Stykel
Balanced truncation model reduction for 3D linear magneto-quasistatic field problems. CoRR (2019)
Mian Muhammad Arsalan Asif, Mian Ilyas Ahmad, Peter Benner, Lihong Feng, Tatjana Stykel
Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems. CoRR (2019)
Estelle M. Massart, Pierre-Yves Gousenbourger, Nguyen Thanh Son, Tatjana Stykel, Pierre-Antoine Absil
Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results. ESANN (2019)
Peter Benner, Heike Faßbender, Michael Hinze, Tatjana Stykel, Ralf Zimmermann
Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017. Adv. Comput. Math. 44 (6) (2018)
Nguyen Thanh Son, Tatjana Stykel
Solving Parameter-Dependent Lyapunov Equations Using the Reduced Basis Method with Application to Parametric Model Order Reduction. SIAM J. Matrix Anal. Appl. 38 (2) (2017)
Tatjana Stykel, Alexander Vasilyev
A two-step model reduction approach for mechanical systems with moving loads. J. Comput. Appl. Math. 297 (2016)
Nguyen Thanh Son, Tatjana Stykel
Model order reduction of parameterized circuit equations based on interpolation. Adv. Comput. Math. 41 (5) (2015)
Peter Benner, Mohammad-Sahadet Hossain, Tatjana Stykel
Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. Numer. Algorithms 67 (3) (2014)
Peter Benner, Tatjana Stykel
Numerical Solution of Projected Algebraic Riccati Equations. SIAM J. Numer. Anal. 52 (2) (2014)
Andreas Steinbrecher, Tatjana Stykel
Model order reduction of nonlinear circuit equations. Int. J. Circuit Theory Appl. 41 (12) (2013)
Serkan Gugercin, Tatjana Stykel, Sarah Wyatt
Model Reduction of Descriptor Systems by Interpolatory Projection Methods. SIAM J. Sci. Comput. 35 (5) (2013)
Serkan Gugercin, Tatjana Stykel, Sarah Wyatt
Model Reduction of Descriptor Systems by Interpolatory Projection Methods CoRR (2013)
Timo Reis, Tatjana Stykel
Lyapunov Balancing for Passivity-Preserving Model Reduction of RC Circuits. SIAM J. Appl. Dyn. Syst. 10 (1) (2011)
Jens Möckel, Timo Reis, Tatjana Stykel
Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems. Int. J. Control 84 (10) (2011)
Juan Carlos de los Reyes, Tatjana Stykel
A balanced truncation-based strategy for optimal control of evolution problems. Optim. Methods Softw. 26 (4-5) (2011)
Timo Reis, Tatjana Stykel
PABTEC: Passivity-Preserving Balanced Truncation for Electrical Circuits. IEEE Trans. Comput. Aided Des. Integr. Circuits Syst. 29 (9) (2010)
Timo Reis, Tatjana Stykel
Positive real and bounded real balancing for model reduction of descriptor systems. Int. J. Control 83 (1) (2010)
Tatjana Stykel
A modified matrix sign function method for projected Lyapunov equations. Syst. Control. Lett. 56 (11-12) (2007)
Volker Mehrmann, Tatjana Stykel
Descriptor Systems: A General Mathematical Framework for Modelling, Simulation and Control (Deskriptorsysteme: Ein allgemeines mathematisches Konzept für Modellierung, Simulation und Regelung). Autom. 54 (8) (2006)
Tatjana Stykel
On some norms for descriptor systems. IEEE Trans. Autom. Control. 51 (5) (2006)
Tatjana Stykel
Gramian-Based Model Reduction for Descriptor Systems. Math. Control. Signals Syst. 16 (4) (2004)