Algebraic Preconditioning Approaches and Their Applications

Matthias Bollhöfer ()
Additional contact information
Matthias Bollhöfer: Institute for Computational Mathematics, TU Braunschweig

Chapter Chapter 10 in Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, 2015, pp 257-295 from Springer

Abstract: Abstract We will review approaches to numerically treat large-scale systems of equations including preconditioning, in particular those methods which are suitable for solving linear systems in parallel. We will also demonstrate how completion techniques can serve as a useful tool to prevent ill-conditioned systems. Beside parallel aspects for preconditioning, multilevel factorization methods will be investigated and finally we will demonstrate how these methods can be combined for approximate matrix inversion methods.

Keywords: Multigrid Method; Diagonal Block; Diagonal Dominance; Incomplete Factorization; Maximum Weight Matchings (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-15260-8_10

Ordering information: This item can be ordered from
http://www.springer.com/9783319152608

DOI: 10.1007/978-3-319-15260-8_10

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().