Averaged Adaptive Cross Approximation with Schur Complement Decomposition

Jordon N. Blackburn; John C. Young; Robert J. Adams

doi:10.1109/AP-S/USNC-URSI47032.2022.9886572

Averaged Adaptive Cross Approximation with Schur Complement Decomposition

Jordon N. Blackburn
, John C. Young
, Robert J. Adams

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

A modified form of the adaptive cross approximation (ACA) was proposed for certain structured matrices for which the original ACA fails. The formulation of the modified ACA algorithm is reconsidered, and a new inversion method based on the Schur Complement decomposition is presented.

Original language	English
Title of host publication	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings
Pages	289-290
Number of pages	2
ISBN (Electronic)	9781665496582
DOIs	https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886572
State	Published - 2022
Event	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Denver, United States Duration: Jul 10 2022 → Jul 15 2022

Publication series

Name	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings

Conference

Conference	2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022
Country/Territory	United States
City	Denver
Period	7/10/22 → 7/15/22

Bibliographical note

Publisher Copyright:
© 2022 IEEE.

Funding

ACKNOWLEDGMENT This work was supported in part by Office of Naval Research Grants N00014-16-1-3066 and N00014-21-1-2599.

Funders	Funder number
Office of Naval Research	N00014-16-1-3066, N00014-21-1-2599

ASJC Scopus subject areas

Computer Networks and Communications
Signal Processing
Instrumentation

Access to Document

10.1109/AP-S/USNC-URSI47032.2022.9886572

Cite this

Blackburn, J. N., Young, J. C., & Adams, R. J. (2022). Averaged Adaptive Cross Approximation with Schur Complement Decomposition. In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings (pp. 289-290). (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings). https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886572

Blackburn, Jordon N. ; Young, John C. ; Adams, Robert J. / Averaged Adaptive Cross Approximation with Schur Complement Decomposition. 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022. pp. 289-290 (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings).

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title = "Averaged Adaptive Cross Approximation with Schur Complement Decomposition",

abstract = "A modified form of the adaptive cross approximation (ACA) was proposed for certain structured matrices for which the original ACA fails. The formulation of the modified ACA algorithm is reconsidered, and a new inversion method based on the Schur Complement decomposition is presented.",

author = "Blackburn, \{Jordon N.\} and Young, \{John C.\} and Adams, \{Robert J.\}",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 ; Conference date: 10-07-2022 Through 15-07-2022",

year = "2022",

doi = "10.1109/AP-S/USNC-URSI47032.2022.9886572",

language = "English",

series = "2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings",

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booktitle = "2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings",

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Blackburn, JN, Young, JC & Adams, RJ 2022, Averaged Adaptive Cross Approximation with Schur Complement Decomposition. in 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings, pp. 289-290, 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022, Denver, United States, 7/10/22. https://doi.org/10.1109/AP-S/USNC-URSI47032.2022.9886572

Averaged Adaptive Cross Approximation with Schur Complement Decomposition. / Blackburn, Jordon N.; Young, John C.; Adams, Robert J.
2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022. p. 289-290 (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Blackburn JN, Young JC , Adams RJ. Averaged Adaptive Cross Approximation with Schur Complement Decomposition. In 2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings. 2022. p. 289-290. (2022 IEEE International Symposium on Antennas and Propagation and USNC-URSI Radio Science Meeting, AP-S/URSI 2022 - Proceedings). doi: 10.1109/AP-S/USNC-URSI47032.2022.9886572

Averaged Adaptive Cross Approximation with Schur Complement Decomposition

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Bibliographical note

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ASJC Scopus subject areas

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