### Abstract

In [3] 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) |
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Pages (from-to) | 963-991 |

Number of pages | 29 |

Journal | Communications on Pure and Applied Mathematics |

Volume | 42 |

Issue number | 7 |

DOIs | |

State | Published - Oct 1989 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics