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Science Forum Index » Math - Symbolic Forum » Jordan form of the BLOCK Frobenius matrix and its inverse
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| Arek |
 Posted: Sun May 20, 2007 7:35 am |
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Guest
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1) -It is well known that Jordan form of the SCALAR Frobenius matrix is
Vendermonde matrix (single eigenvalues) or confluent V. matrix for
non-single eig.
-Inverse of the calssic Vandermonde consist from basic symmetrical
polynomials, for confluent Vand. is a little bit more sophysticated, but
known.
2) Now let's take into the accound the BLOCK Frobenius matrix. (Frobenius
with sub-matrices)
Anyone know whether for such a matrix the Jordan form and its inverse is
known in the literature ? Is it possible to calculate it in a general
analytical form ? Especially the inverse ?
John |
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