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Reports (Research Report) Year : 2005

On correction equations and domain decomposition for computing invariant subspaces

Abstract

This paper considers a number of schemes for computing an approximate invariant subspace associated with the smallest eigenvalues of a sparse symmetric (real) matrix. The approach taken is that of the so-called ``correction equation'' which leads to such standard schemes as the Jacobi-Davidson method or Olsen's method. We consider the situation of block corrections and discuss two algorithms. The application of the viewpoint that is developed is then explored for Domain Decomposition methods.
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Dates and versions

inria-00070271 , version 1 (19-05-2006)

Identifiers

  • HAL Id : inria-00070271 , version 1

Cite

Bernard Philippe, Yousef Saad. On correction equations and domain decomposition for computing invariant subspaces. [Research Report] RR-5748, INRIA. 2005, pp.26. ⟨inria-00070271⟩
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