# totally positive matrix

An $n\times n$ matrix over $\mathbb{R}$ is said to be
if the determinant^{} of every square submatrix^{} is positive. Hence, the determinant
and every element of the matrix are positive.

Title | totally positive matrix^{} |
---|---|

Canonical name | TotallyPositiveMatrix |

Date of creation | 2013-03-22 17:23:28 |

Last modified on | 2013-03-22 17:23:28 |

Owner | Mathprof (13753) |

Last modified by | Mathprof (13753) |

Numerical id | 7 |

Author | Mathprof (13753) |

Entry type | Definition |

Classification | msc 15A48 |

Defines | totally positive |