约束极值拉格朗日乘数法的一个充分条件及其推论

An Ample Condition of Lagrange Multiplier Rule of Constrained Extreme Value and Its Deduction

以二次型形式给出约束极值拉格朗日乘数法的一个二阶充分条件，并用反证法由拉格朗日中值定理及泰勒公式予以证明；同时进一步加强假设，由引理及上述充分条件得到其推论。

This paper gives the second order ample condition of Lagrange multiplier rule of constrained extreme value with the quadratic form,and proves it by use of counterevidence with the help of Lagrange theorem of mean value and Taylor formula;meanwhile,further strengthens hypothesis and its deduction is obtained according to the lemma and the above ample condition