# negative definite

Let $A$ be an $n\times n$ symmetric^{} real square matrix^{}. If for any non-zero vector $x$ we have

$$ |

we call $A$ a *negative definite ^{}* matrix.

Title | negative definite |
---|---|

Canonical name | NegativeDefinite |

Date of creation | 2013-03-22 12:20:06 |

Last modified on | 2013-03-22 12:20:06 |

Owner | drini (3) |

Last modified by | drini (3) |

Numerical id | 4 |

Author | drini (3) |

Entry type | Definition |

Classification | msc 15A48 |

Related topic | PositiveDefinite |

Related topic | PositiveSemidefinite |

Related topic | QuadraticForm |