### Abstract

Given Hermitian matrices A and B, Professor Taussky-Todd posed the problem of estimating the eigenvalues of their Jordan product AB+BA. Here we establish bounds for all the eigenvalues of the Jordan product when both A and B are positive definite. At the same time we give a more straightforward proof and an improvement of estimates given by D. W. Nicholson for the smallest eigenvalue. © 1984.

Original language | English |
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Pages (from-to) | 41-56 |

Number of pages | 16 |

Journal | Linear Algebra and Its Applications |

Volume | 57 |

Issue number | C |

DOIs | |

Publication status | Published - Feb 1984 |

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## Cite this

Alikakos, N., & Bates, P. W. (1984). Estimates for the eigenvalues of the Jordan product of Hermitian matrices.

*Linear Algebra and Its Applications*,*57*(C), 41-56. https://doi.org/10.1016/0024-3795(84)90175-7