The general Lanczos method and MIMO linear systems

José I. Aliaga, Daniel L. Boley, Vicente Hernández

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The general Lanczos method (GLM) permits us to solve the breakdown and the block reduction problems related to the block version of the nonsymmetric Lanczos method. The main idea is to exploit the relation among Lanczos methods and Gram-Schmidt processes. The GLM generates the bases of two block Krylov subspaces, then MIMO control problems which can be formulated in terms of Krylov subspaces may be solved by using this method. In this paper, we show how it is possible to solve in this way, minimal realization and model reduction problems.

Original languageEnglish (US)
Title of host publicationECC 1997 - European Control Conference
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages5
ISBN (Electronic)9783952426906
StatePublished - Apr 8 1997
Event4th European Control Conference, ECC 1997 - Brussels, Belgium
Duration: Jul 1 1997Jul 4 1997

Publication series

NameECC 1997 - European Control Conference


Other4th European Control Conference, ECC 1997


  • Controllability
  • General Lanczos method
  • Linear systems
  • Model reduction
  • Observability


Dive into the research topics of 'The general Lanczos method and MIMO linear systems'. Together they form a unique fingerprint.

Cite this