Question about strong regularity of (parametric) interval matrices
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- Subject: Question about strong regularity of (parametric) interval matrices
- From: skalna <skalna@xxxxxxxxxx>
- Date: Sun, 29 Oct 2017 18:30:09 +0100
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Dear Members of Interval Community,
I have the following question. Most of papers on solving interval linear
systems says that interval matrix is strongly regular if
\rho(|(mid(A))^{-1}rad([A])|)<1.
or equivalently if
[B]=mid(A))^{-1}[A] is regular.
But we can also post-multiply the matrix, and it is probable that the
matrix
[B] will not be regular, but the matrix
[C]=[A}A^{-1} will be regular.
So, shouldn't the definition of strong regularity of interval matrices
be changed?
I am in fact more interested in parametric interval matrices, but
parametric
matrices are strictly connected with interval matrices.
Best regards,
Iwona Skalna
--
___ ____ __ __
| _ | _| | | | Iwona Skalna |
| | | | | | Department of Applied Computer Science |
|_|_|____|__|__| | ul. Gramatyka 10, 30-067 Kraków, Polska |