关于拉格朗日乘数法的几何意义

On the Geometrical Meaning of Lagrange Multiplier Method

利用梯度和方向导数的概念讨论函数在曲线或曲面上的变化率,从而给出拉格朗日乘数法的一个直观的几何解释.

This paper uses gradient vector and directional derivative to study the rate of change of functions on curves or surfaces. It gives a geometrical interpretation of the Lagrange multiplier method.