Gramian-Based Model Reduction for Descriptor Systems. - Tatjana Stykel (Math. Control. Signals Syst., 2004)

Descriptor Systems: A General Mathematical Framework for Modelling, Simulation and Control (Deskriptorsysteme: Ein allgemeines mathematisches Konzept für Modellierung, Simulation und Regelung). - Volker Mehrmann; Tatjana Stykel (Autom., 2006)

On some norms for descriptor systems. - Tatjana Stykel (IEEE Trans. Autom. Control., 2006)

A modified matrix sign function method for projected Lyapunov equations. - Tatjana Stykel (Syst. Control. Lett., 2007)

Positive real and bounded real balancing for model reduction of descriptor systems. - Timo Reis; Tatjana Stykel (Int. J. Control, 2010)

PABTEC: Passivity-Preserving Balanced Truncation for Electrical Circuits. - Timo Reis; Tatjana Stykel (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2010)

Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems. - Jens Möckel; Timo Reis; Tatjana Stykel (Int. J. Control, 2011)

A balanced truncation-based strategy for optimal control of evolution problems. - Juan Carlos de los Reyes; Tatjana Stykel (Optim. Methods Softw., 2011)

Lyapunov Balancing for Passivity-Preserving Model Reduction of RC Circuits. - Timo Reis; Tatjana Stykel (SIAM J. Appl. Dyn. Syst., 2011)

Model order reduction of nonlinear circuit equations. - Andreas Steinbrecher; Tatjana Stykel (Int. J. Circuit Theory Appl., 2013)

Model Reduction of Descriptor Systems by Interpolatory Projection Methods. - Serkan Gugercin; Tatjana Stykel; Sarah Wyatt (SIAM J. Sci. Comput., 2013)

Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems. - Peter Benner; Mohammad-Sahadet Hossain; Tatjana Stykel (Numer. Algorithms, 2014)

Numerical Solution of Projected Algebraic Riccati Equations. - Peter Benner; Tatjana Stykel (SIAM J. Numer. Anal., 2014)

Model order reduction of parameterized circuit equations based on interpolation. - Nguyen Thanh Son; Tatjana Stykel (Adv. Comput. Math., 2015)

A two-step model reduction approach for mechanical systems with moving loads. - Tatjana Stykel; Alexander Vasilyev 001 (J. Comput. Appl. Math., 2016)

Solving Parameter-Dependent Lyapunov Equations Using the Reduced Basis Method with Application to Parametric Model Order Reduction. - Nguyen Thanh Son; Tatjana Stykel (SIAM J. Matrix Anal. Appl., 2017)

Model reduction of complex dynamical systems - Editorial of the special issue corresponding to a workshop held at SDU Odense, Denmark, January 11-13, 2017. - Peter Benner; Heike Faßbender; Michael Hinze; Tatjana Stykel; Ralf Zimmermann 002 (Adv. Comput. Math., 2018)

Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results. - Estelle M. Massart; Pierre-Yves Gousenbourger; Nguyen Thanh Son; Tatjana Stykel; Pierre-Antoine Absil (ESANN, 2019)

Balanced truncation model reduction for 3D linear magneto-quasistatic field problems. - Johanna Kerler-Back; Tatjana Stykel (CoRR, 2019)

Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches. - Nguyen Thanh Son; Pierre-Yves Gousenbourger; Estelle M. Massart; Tatjana Stykel (CoRR, 2020)

Geometry of the Symplectic Stiefel Manifold Endowed with the Euclidean Metric. - Bin Gao 007; Nguyen Thanh Son; Pierre-Antoine Absil; Tatjana Stykel (GSI, 2021)

Energy-adaptive Riemannian optimization on the Stiefel manifold. - Robert Altmann; Daniel Peterseim; Tatjana Stykel (CoRR, 2021)

Sensitivity analysis of random linear differential-algebraic equations using system norms. - Roland Pulch; Akil Narayan 001; Tatjana Stykel (J. Comput. Appl. Math., 2021)

Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. - Mian Muhammad Arsalan Asif; Mian Ilyas Ahmad; Peter Benner; Lihong Feng; Tatjana Stykel (J. Frankl. Inst., 2021)

Riemannian Optimization on the Symplectic Stiefel Manifold. - Bin Gao 007; Nguyen Thanh Son; Pierre-Antoine Absil; Tatjana Stykel (SIAM J. Optim., 2021)

Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization. - Nguyen Thanh Son; Pierre-Antoine Absil; Bin Gao 007; Tatjana Stykel (SIAM J. Matrix Anal. Appl., 2021)

Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications. - Bin Gao 007; Nguyen Thanh Son; Tatjana Stykel (CoRR, 2022)

Symplectic Stiefel manifold: tractable metrics, second-order geometry and Newton's methods. - Bin Gao 007; Nguyen Thanh Son; Tatjana Stykel (CoRR, 2024)

Riemannian optimisation methods for ground states of multicomponent Bose-Einstein condensates. - Robert Altmann; M. Hermann; Daniel Peterseim; Tatjana Stykel (CoRR, 2024)

Regularization and passivity-preserving model reduction of quasilinear magneto-quasistatic coupled problems. - Johanna Kerler-Back; Timo Reis; Tatjana Stykel (CoRR, 2024)

Riemannian Newton Methods for Energy Minimization Problems of Kohn-Sham Type. - Robert Altmann; Daniel Peterseim; Tatjana Stykel (J. Sci. Comput., 2024)

Energy-Adaptive Riemannian Conjugate Gradient Method for Density Functional Theory. - Daniel Peterseim; Jonas Püschel; Tatjana Stykel (CoRR, 2025)