Improved splitting preconditioner for double saddle point problems arising from liquid crystal director modeling

Bi Cong Ren; Fang Chen; Xiao Liang Wang

doi:10.1007/s11075-022-01305-y

Improved splitting preconditioner for double saddle point problems arising from liquid crystal director modeling

Bi Cong Ren, Fang Chen^*, Xiao Liang Wang

^*Corresponding author for this work

School of Aerospace Engineering

Beijing Information Science & Technology University

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

6 Citations (Scopus)

Abstract

To improve the performance of alternating positive semidefinite splitting (APSS) preconditioner, we present an improved APSS (IAPSS) preconditioner for the double saddle point problem arising from liquid crystal director modeling. Theoretical analysis shows that all eigenvalues of the IAPSS-preconditioned matrix are real and located in the interval (0, 2). Numerical examples also show the efficiency of the proposed preconditioner.

Original language	English
Pages (from-to)	1363-1379
Number of pages	17
Journal	Numerical Algorithms
Volume	91
Issue number	3
DOIs	https://doi.org/10.1007/s11075-022-01305-y
Publication status	Published - Nov 2022

Keywords

Double saddle point problem
Matrix splitting
Preconditioning

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title = "Improved splitting preconditioner for double saddle point problems arising from liquid crystal director modeling",

abstract = "To improve the performance of alternating positive semidefinite splitting (APSS) preconditioner, we present an improved APSS (IAPSS) preconditioner for the double saddle point problem arising from liquid crystal director modeling. Theoretical analysis shows that all eigenvalues of the IAPSS-preconditioned matrix are real and located in the interval (0, 2). Numerical examples also show the efficiency of the proposed preconditioner.",

keywords = "Double saddle point problem, Matrix splitting, Preconditioning",

author = "Ren, {Bi Cong} and Fang Chen and Wang, {Xiao Liang}",

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T1 - Improved splitting preconditioner for double saddle point problems arising from liquid crystal director modeling

AU - Ren, Bi Cong

AU - Chen, Fang

AU - Wang, Xiao Liang

PY - 2022/11

Y1 - 2022/11

N2 - To improve the performance of alternating positive semidefinite splitting (APSS) preconditioner, we present an improved APSS (IAPSS) preconditioner for the double saddle point problem arising from liquid crystal director modeling. Theoretical analysis shows that all eigenvalues of the IAPSS-preconditioned matrix are real and located in the interval (0, 2). Numerical examples also show the efficiency of the proposed preconditioner.

AB - To improve the performance of alternating positive semidefinite splitting (APSS) preconditioner, we present an improved APSS (IAPSS) preconditioner for the double saddle point problem arising from liquid crystal director modeling. Theoretical analysis shows that all eigenvalues of the IAPSS-preconditioned matrix are real and located in the interval (0, 2). Numerical examples also show the efficiency of the proposed preconditioner.

KW - Double saddle point problem

KW - Matrix splitting

KW - Preconditioning

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DO - 10.1007/s11075-022-01305-y

M3 - Article

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JO - Numerical Algorithms

JF - Numerical Algorithms

IS - 3

ER -

Improved splitting preconditioner for double saddle point problems arising from liquid crystal director modeling

Abstract

Keywords

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