Back to Search
Start Over
Incomplete double-cone factorizations of centrosymmetric matrices arising in spectral methods.
- Source :
-
Numerical Algorithms . Mar2024, Vol. 95 Issue 3, p1359-1386. 28p. - Publication Year :
- 2024
-
Abstract
- We develop structure-preserving incomplete LU type factorizations for preconditioning centrosymmetric matrices and use them to numerically solve centrosymmetric and nearly centrosymmetric linear systems arising from spectral methods for partial differential equations. Our algorithm builds in part on direct solution techniques previously developed for this type of linear systems, featuring double-cone factorizations. We illustrate our findings on discretizations of model problems involving the Poisson, diffusion, Helmholtz, and biharmonic equations in one, two, and three dimensions. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 95
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 175389276
- Full Text :
- https://doi.org/10.1007/s11075-023-01612-y