Hi ,

I just uploaded a note for the discussion of the eigen-analysis. What I'm trying to do is to find an explicte analytical description of the eigensystem, so that we can quantify errors of approximation as well as possibly systematize exotic ranges for the base-parameter s on an analytical base.

I'm stuck a bit, but the current status of my knowledge is here and it looks pretty promising. Perhaps only one simple idea is missing...

[Update] I made a mistake concerning the "kernel"-matrix Q.

Q in that current definition is not independent of the s-parameter.

This assumption was made by another heuristic, comparing eigenmatrices for different base-parameters s. But accidentally I messed my versions of s1 and s2, so that they were equal...

Fortunately this affects only the further derivations, which are depending on that false assumption. I'll correct this today. So, in the shown version of Q the parameter t (=1.7, which was used) should also been reflected from third row on.

Sorry for this repeatedly messing up of things...

[/update]

Gottfried

I just uploaded a note for the discussion of the eigen-analysis. What I'm trying to do is to find an explicte analytical description of the eigensystem, so that we can quantify errors of approximation as well as possibly systematize exotic ranges for the base-parameter s on an analytical base.

I'm stuck a bit, but the current status of my knowledge is here and it looks pretty promising. Perhaps only one simple idea is missing...

[Update] I made a mistake concerning the "kernel"-matrix Q.

Q in that current definition is not independent of the s-parameter.

This assumption was made by another heuristic, comparing eigenmatrices for different base-parameters s. But accidentally I messed my versions of s1 and s2, so that they were equal...

Fortunately this affects only the further derivations, which are depending on that false assumption. I'll correct this today. So, in the shown version of Q the parameter t (=1.7, which was used) should also been reflected from third row on.

Sorry for this repeatedly messing up of things...

[/update]

Gottfried

Gottfried Helms, Kassel