Used to find the Extremum of
subject to the constraint
,
where and are functions with continuous first Partial Derivatives on the Open
Set containing the curve
, and
at any point on the curve
(where is the Gradient). For an Extremum to exist,

(1) |

(2) |

(3) |

(4) |

(5) |

**References**

Arfken, G. ``Lagrange Multipliers.'' §17.6 in *Mathematical Methods for Physicists, 3rd ed.*
Orlando, FL: Academic Press, pp. 945-950, 1985.

© 1996-9

1999-05-26