06/01/2008, 05:09 PM

Hi -

when updating the "basics of diagonalization" article, meant for Ivars, I detected a problem, which may have consequences in the diagonalization-approach and the attempt to get fractional powers by matrix-logarithm and/or diagonalization. Or, with the fixpoint-shift - I can't estimate it.

It looks like a minor curiosity, but makes me think about the completeness of the matrix-instruments, which we apply.

See the last (short) chapter in Intro_in_Diagonalization.pdf

Gottfried

when updating the "basics of diagonalization" article, meant for Ivars, I detected a problem, which may have consequences in the diagonalization-approach and the attempt to get fractional powers by matrix-logarithm and/or diagonalization. Or, with the fixpoint-shift - I can't estimate it.

It looks like a minor curiosity, but makes me think about the completeness of the matrix-instruments, which we apply.

See the last (short) chapter in Intro_in_Diagonalization.pdf

Gottfried

Gottfried Helms, Kassel