NDLI: Two-step reduction approach based on the scattering-symmetric Lanczos algorithm for TLM-ROM

Content Provider	IEEE Xplore Digital Library
Author	Lukashevich, D. Cangellaris, A. Russer, P.
Copyright Year	2005
Description	Author affiliation: Inst. fur Hochfrequenztech., Tech. Univ. Munchen, Munich, Germany (Lukashevich, D.)
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 non-symmetric 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. In this paper we propose a novel scattering-symmetric (S-symmetric) Lanczos algorithm, which is faster and consumes less memory in comparison to the conventional non-symmetric Lanczos algorithm, since the S-symmetric Lanczos algorithm generates the biorthogonal basis utilizing a single sequence like the symmetric Lanczos procedure. Along with the details of the proposed S-symmetric Lanczos algorithm, estimates are provided for its computational cost in comparison to the standard TLM time evolution scheme, the general Arnoldi process and the non-symmetric Lanczos process. However, the reduced TLM operator can still be large. Instead of the conventional eigenvalue decomposition (EVD) the second reduction of the TLM system can be applied in order to extract only eigenvalues corresponding to a needed frequency band. The two-step reduction algorithm allows us to decrease the computational effort in TLM-MOR.
Starting Page	698
Ending Page	705
File Size	211064
Page Count	8
File Format	PDF
ISBN	0780390687
DOI	10.1109/WCACEM.2005.1469684
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-04-03
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	ACES
Subject Keyword	Transmission line matrix methods Symmetric matrices Electromagnetic scattering Electromagnetic modeling Frequency Eigenvalues and eigenfunctions Electronic mail Computational efficiency Application software Computational complexity
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
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
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
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
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
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7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
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9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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