Matrix factorizations and integrable systems

1 June 1989

journal article
research article
Published by Wiley in Communications on Pure and Applied Mathematics

Vol. 42 (4) , 443-521
https://doi.org/10.1002/cpa.3160420405

Abstract

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.

Keywords

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