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- Athanasios C. Antoulas

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
33
Citations
11,004
187
World Ranking
2114
National Ranking
903

1992 - IEEE Fellow For contributions to the theory of linear system realization.

- Mathematical analysis
- Algorithm
- Algebra

Athanasios C. Antoulas mostly deals with Mathematical optimization, Applied mathematics, Dynamical systems theory, Interpolation and Singular value decomposition. The concepts of his Mathematical optimization study are interwoven with issues in Lanczos resampling and Reduction. His Applied mathematics research incorporates themes from Inverse quadratic interpolation, Birkhoff interpolation, Trilinear interpolation, Bilinear interpolation and Trigonometric interpolation.

When carried out as part of a general Dynamical systems theory research project, his work on Linear dynamical system is frequently linked to work in Scale, therefore connecting diverse disciplines of study. His research in Lyapunov function intersects with topics in Singular value, Numerical analysis, Linear system, Mathematical analysis and Eigenvalues and eigenvectors. His Eigenvalues and eigenvectors research integrates issues from Discrete mathematics, Upper and lower bounds, Model order reduction and Approximation theory.

- Approximation of Large-Scale Dynamical Systems (1885 citations)
- A survey of model reduction by balanced truncation and some new results (581 citations)
- A Survey of Model Reduction Methods for Large-Scale Systems (513 citations)

Athanasios C. Antoulas spends much of his time researching Applied mathematics, Reduction, Mathematical optimization, Control theory and Linear system. His work carried out in the field of Applied mathematics brings together such families of science as Transfer function, Bilinear interpolation, Interpolation, Nonlinear system and Polynomial. His research in Reduction focuses on subjects like Dynamical systems theory, which are connected to Algorithm.

His Mathematical optimization study combines topics in areas such as Lanczos resampling, Singular value decomposition, Upper and lower bounds and Robust control. His Linear system research incorporates elements of Singular value and Structure. His Model order reduction research includes elements of Truncation, Krylov subspace and Lyapunov function.

- Applied mathematics (63.82%)
- Reduction (42.68%)
- Mathematical optimization (19.51%)

- Applied mathematics (63.82%)
- Reduction (42.68%)
- Transfer function (21.95%)

Athanasios C. Antoulas mainly investigates Applied mathematics, Reduction, Transfer function, Data-driven and Nonlinear system. The various areas that he examines in his Applied mathematics study include Linear system, Rational function, Quadratic equation, Extension and Polynomial. In general Reduction study, his work on Model order reduction and Balanced truncation often relates to the realm of Reset, thereby connecting several areas of interest.

The Model order reduction study combines topics in areas such as Numerical analysis, Observability, Lyapunov function and Gramian matrix. His Transfer function research is multidisciplinary, incorporating elements of Frequency domain and Reduced order. Nonlinear system is closely attributed to Dynamical systems theory in his work.

- A Cell-Autonomous Mammalian 12 hr Clock Coordinates Metabolic and Stress Rhythms. (48 citations)
- A Cell-Autonomous Mammalian 12 hr Clock Coordinates Metabolic and Stress Rhythms. (48 citations)
- A Cell-Autonomous Mammalian 12 hr Clock Coordinates Metabolic and Stress Rhythms. (48 citations)

- Mathematical analysis
- Algebra
- Algorithm

His scientific interests lie mostly in Reduction, Model order reduction, Applied mathematics, System identification and Data-driven. His studies deal with areas such as Pure mathematics, Transfer function, Control theory and Algebra as well as Reduction. His Transfer function study combines topics from a wide range of disciplines, such as Linear system, Krylov subspace, Reduced order, Class and Frequency domain.

His Model order reduction study combines topics from a wide range of disciplines, such as Observability, Lyapunov function and Topology. Athanasios C. Antoulas merges many fields, such as Applied mathematics and A priori and a posteriori, in his writings. The Data-driven study combines topics in areas such as Bilinear systems, Quadratic equation and Rational function.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Approximation of Large-Scale Dynamical Systems

Athanasios C. Antoulas.

**(2005)**

3570 Citations

A survey of model reduction by balanced truncation and some new results

Serkan Gugercin;Athanasios C. Antoulas.

International Journal of Control **(2004)**

860 Citations

A Survey of Model Reduction Methods for Large-Scale Systems

A.C. Antoulas;D.C. Sorensen;S. Gugercin.

**(2000)**

857 Citations

$\mathcal{H}_2$ Model Reduction for Large-Scale Linear Dynamical Systems

S. Gugercin;A. C. Antoulas;C. Beattie.

SIAM Journal on Matrix Analysis and Applications **(2008)**

769 Citations

Approximation of large-scale dynamical systems: an overview

Athanasios C. Antoulas;Dan C. Sorensen.

International Journal of Applied Mathematics and Computer Science **(2001)**

439 Citations

A framework for the solution of the generalized realization problem

A.J. Mayo;A.C. Antoulas.

Linear Algebra and its Applications **(2007)**

339 Citations

On the decay rate of Hankel singular values and related issues

Athanasios C. Antoulas;Danny C. Sorensen;Y. Zhou.

Systems & Control Letters **(2002)**

248 Citations

The Sylvester equation and approximate balanced reduction

D.C. Sorensen;A.C. Antoulas.

Linear Algebra and its Applications **(2002)**

247 Citations

Interpolatory Model Reduction of Large-Scale Dynamical Systems

Athanasios C. Antoulas;Christopher A. Beattie;Serkan Gugercin.

**(2010)**

245 Citations

A modified low-rank Smith method for large-scale Lyapunov equations ∗

Serkan Gugercin;Danny C. Sorensen;Athanasios C. Antoulas.

Numerical Algorithms **(2003)**

241 Citations

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