Date
Thu, 19 May 2005
Time
14:00 - 15:00
Location
Comlab
Speaker
Prof Siegfried Rump
Organisation
Hamburg-Harburg University of Technology

The famous Eckart-Young Theorem states that the (normwise) condition number of a matrix is equal to the reciprocal of its distance to the nearest singular matrix. In a recent paper we proved an extension of this to a number of structures common in matrix analysis, i.e. the structured condition number is equal to the reciprocal of the structured distance to the nearest singular matrix. In this talk we present a number of related results on structured eigenvalue perturbations and structured pseudospectra, for normwise and for componentwise perturbations.

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