# stationary point

Suppose $V$ is a vector space^{} and $L:V\to \mathbb{R}$ is a map.
Then $v\in V$ is a *stationary point* of $L$
provided that

$${\frac{d}{dt}L(v+tu)|}_{t=0}=0$$ |

for all $u\in V$. In this case $u$ is called a variation of $v$.

Title | stationary point |
---|---|

Canonical name | StationaryPoint |

Date of creation | 2013-03-22 15:33:21 |

Last modified on | 2013-03-22 15:33:21 |

Owner | matte (1858) |

Last modified by | matte (1858) |

Numerical id | 5 |

Author | matte (1858) |

Entry type | Definition |

Classification | msc 47A60 |