Explicit Integration of the Full Symmetric Toda Hierarchy and the Sorting Property

Details Explicit Integration of the Full Symmetric Toda Hierarchy and the Sorting Property Explicit Integration of the Full Symmetric Toda Hierarchy and the Sorting Property

1995-02-22

arxiv.org/abs/solv-int/9502006v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, Latex.

Scientific paper

10.1007/BF00400137

We give an explicit formula for the solution to the initial value problem of the full symmetric Toda hierarchy. The formula is obtained by the orthogonalization procedure of Szeg\"{o}, and is also interpreted as a consequence of the QR factorization method of Symes \cite{symes}. The sorting property of the dynamics is also proved for the case of a generic symmetric matrix in the sense described in the text, and generalizations of tridiagonal formulae are given for the case of matrices with $2M+1$ nonzero diagonals.

Affiliated with

Also associated with

No associations

Rating

Explicit Integration of the Full Symmetric Toda Hierarchy and the Sorting Property does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Explicit Integration of the Full Symmetric Toda Hierarchy and the Sorting Property, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Explicit Integration of the Full Symmetric Toda Hierarchy and the Sorting Property will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-30457