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# On correction equations and domain decomposition for computing invariant subspaces

1 SAGE - Simulations and Algorithms on Grids for Environment
Inria Rennes – Bretagne Atlantique , IRISA-D1 - SYSTÈMES LARGE ÉCHELLE
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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Cited literature [17 references]

https://hal.inria.fr/inria-00070271
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Submitted on : Friday, May 19, 2006 - 7:49:54 PM
Last modification on : Thursday, January 20, 2022 - 4:19:52 PM
Long-term archiving on: : Sunday, April 4, 2010 - 8:47:54 PM

### Identifiers

• HAL Id : inria-00070271, version 1

### Citation

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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