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A Geometric Approach to Perturbation Theory of Matrices and Matrix Pencils. Part II: A Stratification-Enhanced Staircase Algorithm
MIT, USA.
Umeå University, Faculty of Science and Technology, Department of Computing Science.
Umeå University, Faculty of Science and Technology, Department of Computing Science. Umeå University, Faculty of Science and Technology, High Performance Compting Center North (HPC2N).
1999 (English)In: SIAM Journal on Matrix Analysis and Applications, Vol. 20, no 3, 667-699 p.Article in journal (Refereed) Published
Abstract [en]

Computing the Jordan form of a matrix or the Kronecker structure of a pencil is a well-known ill-posed problem. We propose that knowledge of the closure relations, i.e., the stratification, of the orbits and bundles of the various forms may be applied in the staircase algorithm. Here we discuss and complete the mathematical theory of these relationships and show how they may be applied to the staircase algorithm. This paper is a continuation of our Part I paper on versal deformations, but it may also be read independently.

Place, publisher, year, edition, pages
1999. Vol. 20, no 3, 667-699 p.
Identifiers
URN: urn:nbn:se:umu:diva-21915ISBN: 0895-4798 OAI: oai:DiVA.org:umu-21915DiVA: diva2:212168
Available from: 2009-04-21 Created: 2009-04-21 Last updated: 2011-02-22

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