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Loewner

swMATH ID: 17575
Software Authors: Antoulas, A.C.
Description: The Loewner framework and transfer functions of singular/rectangular systems. A connection is established between the Loewner framework for model reduction and the generalized inverses of singular and rectangular matrices. In this context both the Moore-Penrose and the Drazin inverses are involved. As a consequence this approach yields transfer functions for singular and rectangular systems. Thus the Loewner framework constitutes a natural and direct way for constructing models from measured input/output data.
Homepage: http://www.sciencedirect.com/science/article/pii/S0893965915003122
Keywords: model reduction; data-driven model reduction; rational interpolation; interpolatory model reduction; Loewner framework; Moore-Penrose generalized inverse; Drazin generalized inverse; transfer functions; singular systems; rectangular systems
Related Software: redbKIT; benchmodred; AAA; RKToolbox; Chebfun; rbMIT; MESS; Matlab; HODMD; GitHub; emgr; SINDy; GRANSO; Algorithm 432; Hm-toolbox; STRUMPACK; PROPACK; NSFnets; FastGaussQuadrature; Signal Processing Toolbox
Cited in: 65 Publications
all top 5

Cited by 86 Authors

14 Antoulas, Athanasios C.
11 Gugercin, Serkan
10 Gosea, Ion Victor
9 Benner, Peter
8 Peherstorfer, Benjamin
7 Willcox, Karen E.
5 Beattie, Christopher A.
5 Goyal, Pawan
5 Rapisarda, Paolo
3 Ionita, Antonio C.
3 Krämer, Boris
3 Unger, Benjamin
2 Dede’, Luca
2 Demourant, Fabrice
2 Drmač, Zlatko
2 Karachalios, Dimitrios S.
2 Karasözen, Bülent
2 Pontes Duff, Igor
2 Poussot-Vassal, Charles
2 Pradovera, Davide
2 Quarteroni, Alfio M.
2 Regazzoni, Francesco
2 Schulze, Philipp
2 Uy, Wayne Isaac Tan
2 Uzunca, Murat
2 Werner, Steffen W. R.
1 Ahuja, Kapil
1 Astolfi, Alessandro
1 Borcea, Liliana
1 Borggaard, Jeff T.
1 Breiten, Tobias
1 Brevis, Ignacio
1 Carracedo Rodriguez, Andrea
1 Cherifi, Karim
1 Cui, Tiangang
1 Damle, Anil
1 Druskin, Vladimir
1 Güttel, Stefan
1 Haasdonk, Bernard
1 Hassanzadeh, Pedram
1 Heiland, Jan
1 Heinkenschloss, Matthias
1 Hijazi, Saddam
1 Hund, Manuela
1 Iftime, Orest V.
1 Ionescu, Tudor Corneliu
1 Jiang, Yaolin
1 Jiang, Zhong-Ping
1 Kergus, Pauline
1 Khodabakhshi, Parisa
1 Khodkar, M. A.
1 Lefteriu, Sanda
1 Li, Yanpeng
1 Mamonov, Alexander V.
1 Marzouk, Youssef M.
1 Mitchell, Tim
1 Mlinarić, Petar
1 Mola, Andrea
1 Moskow, Shari
1 Muga, Ignacio
1 Nakatsukasa, Yuji
1 Necoara, Ion
1 Nobile, Fabio
1 Palitta, Davide
1 Petreczky, Mihály
1 Rantzer, Anders
1 Rozza, Gianluigi
1 Saak, Jens
1 Scarciotti, Giordano
1 Sharma, Harsh
1 Singh, Navneet Pratap
1 Son, Nguyen Thanh
1 Sootla, Aivar
1 Sou, Kin Cheong
1 Stabile, Giovanni
1 Stykel, Tatjana
1 Tomljanović, Zoran
1 Townsend, Alex
1 Trefethen, Lloyd Nicholas
1 van der Zee, Kristoffer George
1 Wang, Zhu
1 Wilber, Heather
1 Yang, Ping
1 Yıldız, Süleyman
1 Zaslavsky, Mikhail
1 Zhang, Qiang

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