Symmetric sparse approximate inverse preconditioners for combined field integral equation

Xiao Min Pan; Xin Qing Sheng; Qi Zhang; Dong An Song; Song Gao Huang; Dong Yun Hou

Symmetric sparse approximate inverse preconditioners for combined field integral equation

Xiao Min Pan^*, Xin Qing Sheng, Qi Zhang, Dong An Song, Song Gao Huang, Dong Yun Hou

^*Corresponding author for this work

National Key Laboratory of Electromagnetic Compatibility

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

2 Citations (Scopus)

Abstract

A symmetric sparse approximate inverse (S-SAI) preconditioners for the combined field integral equation (CFIE) is presented in this paper. The asymmetric matrix arising from the CFIE is transformed into a symmetric one, which is employed for efficiently constructing preconditioner by the Cholesky factorization. Numerical experiments show that this S-SAI preconditioner has similar convergent behavior to the previous asymmetric sparse approximate inverse (A-SAI) one, but the construction time of it can be cut down by a factor of at least 32 than that of A-SAI.

Original language	English
Pages (from-to)	578-580+593
Journal	Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology
Volume	30
Issue number	5
Publication status	Published - May 2010

Keywords

Combined field integral equation (CFIE)
Preconditioner
Sparse approximate inverse (SAI)
Symmetric

Cite this

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title = "Symmetric sparse approximate inverse preconditioners for combined field integral equation",

abstract = "A symmetric sparse approximate inverse (S-SAI) preconditioners for the combined field integral equation (CFIE) is presented in this paper. The asymmetric matrix arising from the CFIE is transformed into a symmetric one, which is employed for efficiently constructing preconditioner by the Cholesky factorization. Numerical experiments show that this S-SAI preconditioner has similar convergent behavior to the previous asymmetric sparse approximate inverse (A-SAI) one, but the construction time of it can be cut down by a factor of at least 32 than that of A-SAI.",

keywords = "Combined field integral equation (CFIE), Preconditioner, Sparse approximate inverse (SAI), Symmetric",

author = "Pan, {Xiao Min} and Sheng, {Xin Qing} and Qi Zhang and Song, {Dong An} and Huang, {Song Gao} and Hou, {Dong Yun}",

year = "2010",

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T1 - Symmetric sparse approximate inverse preconditioners for combined field integral equation

AU - Pan, Xiao Min

AU - Sheng, Xin Qing

AU - Zhang, Qi

AU - Song, Dong An

AU - Huang, Song Gao

AU - Hou, Dong Yun

PY - 2010/5

Y1 - 2010/5

N2 - A symmetric sparse approximate inverse (S-SAI) preconditioners for the combined field integral equation (CFIE) is presented in this paper. The asymmetric matrix arising from the CFIE is transformed into a symmetric one, which is employed for efficiently constructing preconditioner by the Cholesky factorization. Numerical experiments show that this S-SAI preconditioner has similar convergent behavior to the previous asymmetric sparse approximate inverse (A-SAI) one, but the construction time of it can be cut down by a factor of at least 32 than that of A-SAI.

AB - A symmetric sparse approximate inverse (S-SAI) preconditioners for the combined field integral equation (CFIE) is presented in this paper. The asymmetric matrix arising from the CFIE is transformed into a symmetric one, which is employed for efficiently constructing preconditioner by the Cholesky factorization. Numerical experiments show that this S-SAI preconditioner has similar convergent behavior to the previous asymmetric sparse approximate inverse (A-SAI) one, but the construction time of it can be cut down by a factor of at least 32 than that of A-SAI.

KW - Combined field integral equation (CFIE)

KW - Preconditioner

KW - Sparse approximate inverse (SAI)

KW - Symmetric

UR - http://www.scopus.com/inward/record.url?scp=77954300660&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77954300660

SN - 1001-0645

VL - 30

SP - 578-580+593

JO - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

JF - Beijing Ligong Daxue Xuebao/Transaction of Beijing Institute of Technology

IS - 5

ER -

Symmetric sparse approximate inverse preconditioners for combined field integral equation

Abstract

Keywords

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