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Scaled norm minimization method for computing the parameters of the HSS and the two-parameter HSS preconditioners
- Source :
- Numerical Linear Algebra with Applications. 25:e2169
- Publication Year :
- 2018
- Publisher :
- Wiley, 2018.
-
Abstract
- The performance of the Hermitian and skew-Hermitian splitting (HSS) preconditioner for the non-Hermitian positive definite system of linear equations is largely dependent on the choice of its parameter value. In this work, an efficient scaled norm minimization (SNM) method is proposed to compute the parameter value of the HSS preconditioner. In addition, by choosing different parameters for the Hermitian and the skew-Hermitian matrices in the HSS preconditioner, a two-parameter HSS preconditioner is proposed. Moreover, an efficient and practical formula for computing the parameter values of this new preconditioner is also derived by using the SNM method. Numerical examples are illustrated to verify the performances of the HSS and the two-parameter HSS preconditioners when their parameters are computed by the SNM method.
- Subjects :
- Algebra and Number Theory
Two parameter
Preconditioner
Applied Mathematics
Value (computer science)
010103 numerical & computational mathematics
Positive-definite matrix
System of linear equations
Computer Science::Numerical Analysis
01 natural sciences
Hermitian matrix
Mathematics::Numerical Analysis
010101 applied mathematics
Computer Science::Mathematical Software
Applied mathematics
Norm minimization
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 10705325
- Volume :
- 25
- Database :
- OpenAIRE
- Journal :
- Numerical Linear Algebra with Applications
- Accession number :
- edsair.doi...........9f4b2b5d5764c55eb966a54454552bc5