The Lanczos-Arnoldi algorithm and controllability

D. L. Boley, G. H. Golub

Research output: Contribution to journalArticlepeer-review

29 Scopus citations


We present methods for computing the controllable space of a Linear Dynamic System. The methods are based on orthogonalizing Krylov sequences and can use much less storage than other methods with little or no loss of numerical stability.

Original languageEnglish (US)
Pages (from-to)317-324
Number of pages8
JournalSystems and Control Letters
Issue number6
StatePublished - Sep 1984

Bibliographical note

Funding Information:
** The work of this author was in part supported by NSF

Funding Information:
l The work of this author was partially supported by the Centre for Mathematical Analysis at the Australian Na-tional University during the author’s visit there. It was also supported by the U.S. National Science Foundation under grant ECS-8204468.


  • Controllability
  • Lanczos algorithm
  • Large scale system
  • Linear systems
  • Numerical methods


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