New preconditioners for saddle point problems

Jian Yu Pan; Michael K. Ng; Zhong Zhi Bai

doi:10.1016/j.amc.2004.11.016

New preconditioners for saddle point problems

Jian Yu Pan^*
, Michael K. Ng
, Zhong Zhi Bai

^*Corresponding author for this work

School of Mathematical Sciences

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

145 Scopus citations

Abstract

We present new preconditioners based on matrix splittings for the saddle point problems. The spectral property of one of the preconditioned matrix is studied in detail. Numerical examples are used to illustrate the efficiency of the new preconditioners.

Original language	English
Pages (from-to)	762-771
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	172
Issue number	2 SPEC. ISS.
DOIs	https://doi.org/10.1016/j.amc.2004.11.016
State	Published - 15 Jan 2006

Keywords

Eigenvalue distribution
Matrix splitting
Preconditioning
Saddle point problem

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10.1016/j.amc.2004.11.016

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@article{e2c574f7978f4e0a8f519fd1e5e00020,

title = "New preconditioners for saddle point problems",

abstract = "We present new preconditioners based on matrix splittings for the saddle point problems. The spectral property of one of the preconditioned matrix is studied in detail. Numerical examples are used to illustrate the efficiency of the new preconditioners.",

keywords = "Eigenvalue distribution, Matrix splitting, Preconditioning, Saddle point problem",

author = "Pan, \{Jian Yu\} and Ng, \{Michael K.\} and Bai, \{Zhong Zhi\}",

year = "2006",

month = jan,

day = "15",

doi = "10.1016/j.amc.2004.11.016",

language = "英语",

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journal = "Applied Mathematics and Computation",

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TY - JOUR

T1 - New preconditioners for saddle point problems

AU - Pan, Jian Yu

AU - Ng, Michael K.

AU - Bai, Zhong Zhi

PY - 2006/1/15

Y1 - 2006/1/15

N2 - We present new preconditioners based on matrix splittings for the saddle point problems. The spectral property of one of the preconditioned matrix is studied in detail. Numerical examples are used to illustrate the efficiency of the new preconditioners.

AB - We present new preconditioners based on matrix splittings for the saddle point problems. The spectral property of one of the preconditioned matrix is studied in detail. Numerical examples are used to illustrate the efficiency of the new preconditioners.

KW - Eigenvalue distribution

KW - Matrix splitting

KW - Preconditioning

KW - Saddle point problem

UR - https://www.scopus.com/pages/publications/31644446275

U2 - 10.1016/j.amc.2004.11.016

DO - 10.1016/j.amc.2004.11.016

M3 - 文章

AN - SCOPUS:31644446275

SN - 0096-3003

VL - 172

SP - 762

EP - 771

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2 SPEC. ISS.

ER -

New preconditioners for saddle point problems

Abstract

Keywords

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