Tatjana Stykel | Academic Influence

Tatjana Stykel's AcademicInfluence.com Rankings

Tatjana Stykel

Mathematics

#5564

World Rank

#7822

Historical Rank

Group Theory

#351

World Rank

#405

Historical Rank

Number Theory

#412

World Rank

#512

Historical Rank

Algebra

#476

World Rank

#642

Historical Rank

mathematics Degrees

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Mathematics

Tatjana Stykel's Degrees

PhD Mathematics Moscow State University
Masters Mathematics Moscow State University
Bachelors Mathematics Moscow State University

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Why Is Tatjana Stykel Influential?

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According to Wikipedia, Tatjana Stykel is a Russian mathematician who works as a professor of computational mathematics in the Institute of Mathematics of the University of Augsburg in Germany. Her research interests include numerical linear algebra, control theory, and differential-algebraic systems of equations.

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Tatjana Stykel's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form (2005) (200)
Gramian-Based Model Reduction for Descriptor Systems (2004) (196)
Balanced truncation model reduction of second-order systems (2008) (140)
Model Reduction of Descriptor Systems by Interpolatory Projection Methods (2013) (124)
Analysis and Numerical Solution of Generalized Lyapunov Equations (2002) (98)
Low rank iterative methods for projected generalized Lyapunov equations (2005) (95)
Positive real and bounded real balancing for model reduction of descriptor systems (2010) (94)
PABTEC: Passivity-Preserving Balanced Truncation for Electrical Circuits (2010) (76)
Stability and inertia theorems for generalized Lyapunov equations (2002) (75)
Balanced truncation model reduction for semidiscretized Stokes equation (2006) (74)
Model Order Reduction for Differential-Algebraic Equations: A Survey (2017) (65)
Numerical solution and perturbation theory for generalized Lyapunov equations (2002) (51)
Lyapunov Balancing for Passivity-Preserving Model Reduction of RC Circuits (2011) (50)
Krylov subspace methods for projected Lyapunov equations (2012) (49)
Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems (2014) (47)
On some norms for descriptor systems (2006) (44)
A Survey on Model Reduction of Coupled Systems (2008) (41)
Model Reduction of Periodic Descriptor Systems Using Balanced Truncation (2011) (37)
Stability analysis and model order reduction of coupled systems (2007) (37)
Descriptor Systems: A General Mathematical Framework for Modelling, Simulation and Control (Deskriptorsysteme: Ein allgemeines mathematisches Konzept für Modellierung, Simulation und Regelung) (2006) (36)
On criteria for asymptotic stability of differential-algebraic equations (2002) (33)
Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory (2015) (27)
Passivation of LTI systems (2007) (25)
Numerical Solution of Projected Algebraic Riccati Equations (2014) (22)
Linear-quadratic Gaussian balancing for model reduction of differential-algebraic systems (2011) (22)
Balancing-Related Model Reduction of Circuit Equations Using Topological Structure (2011) (21)
Riemannian Optimization on the Symplectic Stiefel Manifold (2020) (18)
Model order reduction of coupled circuit‐device systems (2012) (18)
Model order reduction of nonlinear circuit equations (2013) (17)
Solving Parameter-Dependent Lyapunov Equations Using the Reduced Basis Method with Application to Parametric Model Order Reduction (2017) (17)
Interpolation on the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results (2019) (17)
Special Issue on " Order Reduction of Large-scale Systems " (2005) (16)
A modified matrix sign function method for projected Lyapunov equations (2007) (15)
Passivity-preserving balanced truncation for electrical circuits (2008) (13)
Rational interpolation , minimal realization and model reduction (2007) (13)
Model reduction for linear and nonlinear magneto‐quasistatic equations (2017) (12)
Input-Output Invariants for Descriptor Systems (2003) (12)
Passivity‐preserving model reduction of differential‐algebraic equations in circuit simulation (2007) (11)
Model order reduction of parameterized circuit equations based on interpolation (2015) (10)
Model reduction of complex dynamical systems (2018) (9)
Generalized Lyapunov Equations for Descriptor Systems: Stability and Inertia Theorems (2000) (8)
A two-step model reduction approach for mechanical systems with moving loads (2016) (8)
Symplectic eigenvalue problem via trace minimization and Riemannian optimization (2021) (8)
Computing Symplectic Eigenpairs of Symmetric Positive-Definite Matrices via Trace Minimization and Riemannian Optimization (2021) (7)
Multirate DAE/ODE-Simulation and Model Order Reduction for Coupled Field-Circuit Systems (2018) (7)
Implicit Higher-Order Moment Matching Technique for Model Reduction of Quadratic-bilinear Systems (2019) (7)
Solving projected generalized Lyapunov equations using SLICOT (2006) (6)
The PABTEC Algorithm for Passivity-Preserving Model Reduction of Circuit Equations (2010) (6)
Passivity-Preserving Balanced Truncation Model Reduction of Circuit Equations (2010) (6)
A balanced truncation-based strategy for optimal control of evolution problems (2011) (5)
A general mathematical framework for modelling , simulation and control (4)
★Model Order Reduction for Magneto-Quasistatic Equations★ (2015) (4)
Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem (2022) (4)
Energy-adaptive Riemannian optimization on the Stiefel manifold (2021) (4)
Towards Practical Implementations of Balanced Truncation for LTV Systems (2015) (4)
Geometry of the Symplectic Stiefel Manifold Endowed with the Euclidean Metric (2021) (4)
Model Order Reduction of Electrical Circuits with Nonlinear Elements (2012) (4)
Balanced truncation model reduction for 3D linear magneto-quasistatic field problems (2019) (3)
Balanced truncation model reduction for descriptor systems (2003) (3)
ANALYSIS OF A QUASILINEAR COUPLED MAGNETO-QUASISTATIC MODEL. PART I: SOLVABILITY AND REGULARITY OF SOLUTIONS (2021) (2)
Element-Based Model Reduction in Circuit Simulation (2017) (2)
Comparison of two model order reduction methods for elastic multibody systems with moving loads (2017) (2)
Generalized Alternating Direction Implicit Method for Projected Generalized Lyapunov Equations (2004) (2)
Model reduction based optimal control for field-flow fractionation (2013) (2)
Model reduction of complex dynamical systems (2018) (1)
Differential Equations and Stability (2006) (1)
Stability Analysis of a Control-Theoretic Work System Model (2019) (1)
Optimization on the symplectic Stiefel manifold: SR decomposition-based retraction and applications (2022) (1)
Analysis of a quasilinear coupled magneto-quasistatic model: solvability and regularity of solutions (2022) (1)
A Low-Rank Reduced Basis Method for Parameter-Dependent Lyapunov Equations (2013) (1)
$\mathcal{H}_2$ Pseudo-Optimal Reduction of Structured DAEs by Rational Interpolation (2018) (1)
2 Balancing-related model reduction methods (2021) (1)
Passivity, port-hamiltonian formulation and solution estimates for a coupled magneto-quasistatic system (2022) (0)
Model reduction and dynamic iteration for coupled nonlinear systems (2014) (0)
N A ] 2 0 N ov 2 01 9 Balanced truncation model reduction for 3 D linear magneto-quasistatic field problems (2019) (0)
Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches (2020) (0)
A Condensed Form for Nonlinear Differential-Algebraic Equations in Circuit Theory (2015) (0)
Low-rank iterative methods for periodic projected Lyapunov equations and their application in model reduction of periodic descriptor systems (2014) (0)
TECHNISCHE UNIVERSIT ¨AT BERLIN Linear-Quadratic Gaussian Balancing for Model Reduction of Diﬀerential-Algebraic Systems (2011) (0)
Sensitivity analysis of random linear differential-algebraic equations using system norms (2021) (0)
Model order reduction of parameterized circuit equations based on interpolation (2015) (0)
Preface to the Proceedings of ILAS 2017: Connections, Twenty-first Conference of the International Linear Algebra Society, Iowa State University, 24–28 July 2017 (2019) (0)
Model reduction for optimal control problems in field‐flow fractionation (2012) (0)
Numerische Simulation Auf Massiv Parallelen Rechnern on a Criterion for Asymptotic Stability of Diierential-algebraic Equations Preprint-reihe Des Chemnitzer Sfb 393 (2007) (0)

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