那据/span>±据/span>3.据/span>)据/span>。据/p>
现在,赫斯特甚至包括减少很多努力的功能。我们只需要检查成对据span class="katex">
(据/span>4.据/span>那据/span>3.据/span>)据/span>那据/span>(据/span>0.据/span>那据/span>0.据/span>)据/span>那据/span>(据/span>4.据/span>那据/span>0.据/span>)据/span>那据/span>(据/span>0.据/span>那据/span>3.据/span>)据/span>
简要了解明确和无限基质的研究据a target="_blank" rel="nofollow" href="https://en.wikipedia.org/wiki/Positive-definite_matrix">这些据/a>第一的。据/p>
现在我们在不同的静止点检查黑森州,如下:据/p>
δ.据/span>2据/span>F据/span>(据/span>0.据/span>那据/span>0.据/span>)据/span>=据/span>(据/span>-据/span>6.据/span>4.据/span>0.据/span>0.据/span>-据/span>3.据/span>6.据/span>)据/span>
这是负面的明确使其成为函数的局部最大值。据/p>
δ.据/span>2据/span>F据/span>(据/span>±据/span>4.据/span>那据/span>0.据/span>)据/span>=据/span>(据/span>1据/span>2据/span>8.据/span>0.据/span>0.据/span>-据/span>3.据/span>6.据/span>)据/span>
它是无限期的,因此排除了。据/p>
δ.据/span>2据/span>F据/span>(据/span>0.据/span>那据/span>±据/span>3.据/span>)据/span>=据/span>(据/span>-据/span>6.据/span>4.据/span>0.据/span>0.据/span>7.据/span>2据/span>)据/span>
它也是无限期的据/p>
δ.据/span>2据/span>F据/span>(据/span>±据/span>4.据/span>那据/span>±据/span>3.据/span>)据/span>=据/span>(据/span>1据/span>2据/span>8.据/span>0.据/span>0.据/span>7.据/span>2据/span>)据/span>
它是正定的矩阵,因此它是局部最少的功能。据/p>
所以据span class="katex">
F据/span>(据/span>0.据/span>那据/span>0.据/span>)据/span>≥据/span>F据/span>(据/span>X据/span>那据/span>y据/span>)据/span>≥据/span>F据/span>(据/span>±据/span>4.据/span>那据/span>±据/span>3.据/span>)据/span>⟹据/span>-据/span>3.据/span>3.据/span>7.据/span>≤.据/span>F据/span>(据/span>X据/span>那据/span>y据/span>)据/span>≤.据/span>0.据/span>
因此,我们已经成功地界限了上述功能,并且它的地方最小点是据span class="katex">
(据/span>±据/span>4.据/span>那据/span>±据/span>3.据/span>)据/span>和地方最大点是据span class="katex">
(据/span>0.据/span>那据/span>0.据/span>)据/span>