Schur factorization of the impedance matrix in a localizing basis

A. Zhu; R. J. Adams; F. X. Canning; S. D. Gedney

doi:10.1163/156939306775701803

Schur factorization of the impedance matrix in a localizing basis

A. Zhu, R. J. Adams, F. X. Canning, S. D. Gedney

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

A Schur-based factorization procedure is described for impedance matrices transformed into a localizing basis. A recently reported factorization strategy relying on a sparse QR factorization of the transformed impedance matrix was shown to exhibit improved efficiency relative to standard direct factorizations. It is shown here that a Schur factorization provides additional efficiencies.

Original language	English
Pages (from-to)	351-362
Number of pages	12
Journal	Journal of Electromagnetic Waves and Applications
Volume	20
Issue number	3
DOIs	https://doi.org/10.1163/156939306775701803
State	Published - 2006

Bibliographical note

Funding Information:
This work was supported by contract number N00014-04-1-0485 from the Office of Naval Research, and by the Center for Computational Sciences at the University of Kentucky.

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Physics and Astronomy (all)
Electrical and Electronic Engineering

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10.1163/156939306775701803

Cite this

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title = "Schur factorization of the impedance matrix in a localizing basis",

abstract = "A Schur-based factorization procedure is described for impedance matrices transformed into a localizing basis. A recently reported factorization strategy relying on a sparse QR factorization of the transformed impedance matrix was shown to exhibit improved efficiency relative to standard direct factorizations. It is shown here that a Schur factorization provides additional efficiencies.",

author = "A. Zhu and Adams, {R. J.} and Canning, {F. X.} and Gedney, {S. D.}",

note = "Funding Information: This work was supported by contract number N00014-04-1-0485 from the Office of Naval Research, and by the Center for Computational Sciences at the University of Kentucky.",

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AU - Zhu, A.

AU - Adams, R. J.

AU - Canning, F. X.

AU - Gedney, S. D.

N1 - Funding Information: This work was supported by contract number N00014-04-1-0485 from the Office of Naval Research, and by the Center for Computational Sciences at the University of Kentucky.

PY - 2006

Y1 - 2006

N2 - A Schur-based factorization procedure is described for impedance matrices transformed into a localizing basis. A recently reported factorization strategy relying on a sparse QR factorization of the transformed impedance matrix was shown to exhibit improved efficiency relative to standard direct factorizations. It is shown here that a Schur factorization provides additional efficiencies.

AB - A Schur-based factorization procedure is described for impedance matrices transformed into a localizing basis. A recently reported factorization strategy relying on a sparse QR factorization of the transformed impedance matrix was shown to exhibit improved efficiency relative to standard direct factorizations. It is shown here that a Schur factorization provides additional efficiencies.

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Schur factorization of the impedance matrix in a localizing basis

Abstract

Bibliographical note

ASJC Scopus subject areas

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