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PMTBR

swMATH ID: 2086
Software Authors: Phillips, Joel R.; Zhu, Zhenhai; Siveira, Miguel
Description: PMTBR: A family of approximate principal-components-like reduction algorithms We present a family of algorithms that can be considered intermediate between frequency domain projection methods and approximation of truncated balanced realizations. The methods discussed are computationally simple to implement, have good error properties, and possess simple error estimation and order control procedures. By tailoring the method to take into account a statistical representation of individual problem characteristics, more efficient, improved results have been obtained in several situations, meaning models of small order that retain acceptable accuracy, on problems for which many other methods struggle. Examples are shown to illustrate the algorithms in the contexts of frequency weighting, circuit simulation with parasitics networks having large numbers of input/output ports, and interconnect modeling in the presence of parameter change due to process variation.
Homepage: http://www.springerlink.com/content/n775w217ntw2354m/
Related Software: Loewner; SOLBT; benchmodred; UMFPACK; SuperLU; redbKIT; emgr; mctoolbox; SparseRC; Sparse Grid Interpolation; PABTEC; RODAS; MatMorembs; rbMIT; Qhull; DPA_TDEFL; QDPA; IRAM; ARPACK; JDQR
Cited in: 22 Documents

Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
PMTBR: A family of approximate principal-components-like reduction algorithms. Zbl 1208.78039
Phillips, Joel R.; Zhu, Zhenhai; Siveira, Miguel
2008
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Cited by 57 Authors

4 ter Maten, E. Jan W.
3 Benner, Peter
2 Baur, Ulrike
2 Beattie, Christopher A.
2 Gugercin, Serkan
2 Jiang, Yaolin
2 Pulch, Roland
2 Verhoeven, Arie
2 Voss, Thomas
1 Achar, Ram
1 Antonini, Giulio
1 Antoulas, Athanasios C.
1 Astolfi, Alessandro
1 Bechtold, Tamara
1 Breiten, Tobias
1 Burgard, Stefan
1 Dhaene, Tom
1 Du, Xin
1 Dyczij-Edlinger, Romanus
1 Eberhard, Peter
1 El Guennouni, Ahmed
1 Farle, Ortwin
1 Fehr, Jörg
1 Feng, Lihong
1 Ferranti, Francesco
1 Fischer, Michael J.
1 Flores, Paulo
1 Gad, Emad
1 Gosea, Ion Victor
1 Haasdonk, Bernard
1 Ionutiu, Roxana
1 Knockaert, Luc
1 Lefteriu, Sanda
1 Martins, Nelson
1 Mattheij, Robert M. M.
1 Mohaghegh, Kasra
1 Nakhla, Michel S.
1 Nouri, Behzad
1 Phillips, Joel R.
1 Qiu, Zhiyong
1 Rommes, Joost
1 Scarciotti, Giordano
1 Silva, João M. S.
1 Silveira, Luís Miguel
1 Siveira, Miguel
1 Song, Qiu-Yan
1 Sreeram, Victor
1 Striebel, Michael
1 Stykel, Tatjana
1 Villena, Jorge Fernández
1 Wang, Chenxu
1 Wang, Xinsheng
1 Xiao, Zhihua
1 Yang, Junman
1 Yu, Mingyan
1 Zhu, Zhenhai
1 Zulfiqar, Umair
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Cited in 12 Serials

2 Circuits, Systems, and Signal Processing
2 SIAM Journal on Scientific Computing
1 Journal of the Franklin Institute
1 SIAM Journal on Control and Optimization
1 Applied Numerical Mathematics
1 COMPEL
1 Linear Algebra and its Applications
1 European Journal of Control
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 International Journal of Numerical Modelling
1 Archives of Computational Methods in Engineering
1 International Journal of Systems Science. Principles and Applications of Systems and Integration
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Cited in 11 Fields

12 Systems theory; control (93-XX)
7 Numerical analysis (65-XX)
7 Optics, electromagnetic theory (78-XX)
7 Information and communication theory, circuits (94-XX)
4 Ordinary differential equations (34-XX)
2 Dynamical systems and ergodic theory (37-XX)
2 Approximations and expansions (41-XX)
1 Partial differential equations (35-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)

Citations by Year