In  the authors show that the QR algorithm to compute the eigenvalues of a matrix is the integer time evaluation of a completely integrable Hamiltonian system. Here the authors show that all the associated commuting integrals generate flows that can be solved explicitly via a factorization procedure on a suitable finite, or infinite‐dimensional, Lie algebra.
|Original language||English (US)|
|Number of pages||29|
|Journal||Communications on Pure and Applied Mathematics|
|State||Published - Oct 1989|
ASJC Scopus subject areas
- Applied Mathematics