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

Beijing Information Science & Technology University
Beijing Institute of Technology

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

14 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
Externally published	Yes

Keywords

Double saddle point problem
Matrix splitting
Preconditioning

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10.1007/s11075-022-01305-y

Cite this

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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\}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.",

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doi = "10.1007/s11075-022-01305-y",

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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

UR - https://www.scopus.com/pages/publications/85128276713

U2 - 10.1007/s11075-022-01305-y

DO - 10.1007/s11075-022-01305-y

M3 - Article

AN - SCOPUS:85128276713

SN - 1017-1398

VL - 91

SP - 1363

EP - 1379

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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