comparision of matrices singularity

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Posted by Paul on April 03, 1998 at 07:53:30:

my problem is:
I have got a set of linear equations
Cx = 0
with C is the singular matrix and x is the non-trivial
solution vector. Additionally, C is a function of one
or two scalar variables a and/or b:
C = C(a,b)
The exact values of these variables are unknown and have
to be find out by iterations. And this causes the problem:
I need an appropriate measure for how good the variables
values fit. In other words, I must be able to compare if
C(a1,b1) is stronger singular then C(a2,b2).
I have tested as a measure the smallest singular value,
but that didnt work.
Maybe anybody have got an better idea.



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