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Some preconditioning techniques for a class of double saddle point problems.
- Source :
-
Numerical Linear Algebra with Applications . Aug2024, Vol. 31 Issue 4, p1-22. 22p. - Publication Year :
- 2024
-
Abstract
- Summary: In this paper, we describe and analyze the spectral properties of several exact block preconditioners for a class of double saddle point problems. Among all these, we consider an inexact version of a block triangular preconditioner providing extremely fast convergence of the (F)GMRES method. We develop a spectral analysis of the preconditioned matrix showing that the complex eigenvalues lie in a circle of center (1,0)$$ \left(1,0\right) $$ and radius 1, while the real eigenvalues are described in terms of the roots of a third order polynomial with real coefficients. Numerical examples are reported to illustrate the efficiency of inexact versions of the proposed preconditioners, and to verify the theoretical bounds. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SADDLERY
*EIGENVALUES
*KRYLOV subspace
*POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 10705325
- Volume :
- 31
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Numerical Linear Algebra with Applications
- Publication Type :
- Academic Journal
- Accession number :
- 178441656
- Full Text :
- https://doi.org/10.1002/nla.2551