Matrix factorizations and integrable systems

P. Deift, L. C. Li, C. Tomei

Research output: Contribution to journalArticlepeer-review


We show that the QR, LU and Cholesky algorithms to compute the eigenvalues of real matrices are the integer time evaluations of completely integrable Hamiltonian flows.

Original languageEnglish (US)
Pages (from-to)443-521
Number of pages79
JournalCommunications on Pure and Applied Mathematics
Issue number4
StatePublished - Jun 1989

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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