NDLI: Oblique-oblique projection in TLM-MOR for high-Q structures

Content Provider	IEEE Xplore Digital Library
Author	Lukashevich, D. Russer, P.
Copyright Year	2005
Description	Author affiliation: Inst. for High-Frequency Eng., Munich Univ. of Technol., Germany (Lukashevich, D.; Russer, P.)
Abstract	The non-symmetric properties of the TLM-matrix require the application of general Krylov subspace methods for the purposes of model order reduction (MOR). Application of the Arnoldi algorithm is computational expensive. Furthermore, the classical nonsymmetric Lanczos algorithm requires the transpose TLM-matrix in order to form a biorthogonal basis for Krylov subspaces; hence, its algorithmic simplicity is also penalized and its computational complexity is increased. Here we describe a novel scattering-symmetric (S-symmetric) algorithm, which is used for the oblique projection of the TLM-system. The S-symmetric Lanczos algorithm is faster and consumes less memory in comparison to the conventional non-symmetric Lanczos algorithm, since the S-symmetric version generates a biorthogonal basis utilizing a single sequence like the symmetric Lanczos procedure. However, the reduced TLM-matrix can still be large. Instead of the conventional eigenvalue decomposition (EVD) the second oblique projection of the TLM-system can be performed in order to extract only eigenvalues corresponding to a needed frequency band. The oblique-oblique projection approach allows us to decrease the computational effort in TLM-MOR. The advantages of the proposed techniques are demonstrated trough their applications to the loss-free high-Q filters.
Starting Page	4
Ending Page	852
File Size	161225
Page Count	849
File Format	PDF
ISBN	2960055128
DOI	10.1109/EUMC.2005.1610059
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-10-04
Publisher Place	France
Access Restriction	Subscribed
Rights Holder	EUROPEAN MICROWAVE ASSOCIATION
Subject Keyword	Transmission line matrix methods Eigenvalues and eigenfunctions Electromagnetic scattering Electromagnetic modeling Frequency Electronic mail Computational complexity Filters Context modeling Reduced order systems
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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