@inproceedings{02082bb3ed0d46d5975e4399b7f322a7,
title = "On Rapid Estimation of Impedance-Matrix Ranks via Grid-Based Techniques",
abstract = " The performance of three sampling-grid-based techniques for estimating the rank of impedance matrix blocks are evaluated: Method I constructs a volumetric grid-to-grid propagation matrix between regular but coarsely sampled grids enclosing the source/observer domains and evaluates this matrix's rank using the truncated-SVD. While effective in the quasi-static regime, the method rapidly becomes impractical for electrically large domains. Method II evaluates the rank of the same grid-to-grid propagation matrix using the ACA. Method III uses a set of reduced/belt proxy grids designed for multilevel compression and interpolation of phase- and amplitude-compensated fields. For quasi-planar configurations of electrically large domains, Method III is found to be asymptotically superior while Method II is found to be effective until 10 6 degrees of freedom.",
keywords = "ACA, fast methods, integral equations, rank",
author = "Kelley, {Jon T.} and Yaniv Brick and Ali Yilmaz",
note = "Publisher Copyright: {\textcopyright} 2018 IEEE.; 2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting, APSURSI 2018 ; Conference date: 08-07-2018 Through 13-07-2018",
year = "2018",
month = jan,
day = "1",
doi = "10.1109/APUSNCURSINRSM.2018.8608656",
language = "English",
series = "2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting, APSURSI 2018 - Proceedings",
publisher = "Institute of Electrical and Electronics Engineers",
pages = "2501--2502",
booktitle = "2018 IEEE Antennas and Propagation Society International Symposium and USNC/URSI National Radio Science Meeting, APSURSI 2018 - Proceedings",
address = "United States",
}