The family of nested factorizations

Russian Journal of Numerical Analysis and Mathematical Modelling

Volumn 22, Issue 4, 2007, Pages 393-412

  Kuznetsova, N N ^a   Diyankov, O V ^a   Kotegov, S S ^a   Koshelev, S V ^a   Krasnogorov, I V ^a   Pravilnikov, V Y ^a   Maliassov, S Y ^b  

^a Neurok TechSoft LLC   (Russian Federation)

^b EXXONMOBIL UPSTREAM RESEARCH COMPANY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; FINITE DIFFERENCE METHOD; ITERATIVE METHODS; MATRIX ALGEBRA;

GENERALIZED NF (GNF); NESTED FACTORIZATION; UNSTRUCTURED GRID;

FACTORIZATION;

EID: 34548403754     PISSN: 09276467     EISSN: 15693988     Source Type: Journal    
DOI: 10.1515/rnam.2007.019     Document Type: Article

References (6)

1. J. R. Appleyard and I. M. Cheshire, Nested factorization. In: The 7th SPE Symposium on Reservoir Simulation, San Frencisco, 1983, pp. 315-324.
2. J. R. Appleyard, Nested factorization Ph. D. Thesis. Polyhedron Software Ltd, May 2004.
3. T. F. Chan and H. A. van der Vorst, Approximate and Incomplete Factorizations. http://igitur-archive.library.uu.nl/math/2001-0621-115821/ proc.pdf
4. O. V. Diyankov et al., SparSol: sparse linear systems solver. Russ. J. Numer. Anal. Math. Modelling (2007) 22, No. 4, 325-339.
5. V. Y. Pravilnikov et al., FILU: an efficient incomplete LU preconditioner. Russ. J. Numer. Anal. Math. Modelling (2007) 22, No. 4, 413-430.
6. H. A. van der Vorst, Bi-CGSTAB: A fast and smooth converging variant of Bi-CG for the solution of non-symmetric linear systems. SIAM J. Sci. Stat. Comp. (1992) 12, 631-644.