牛顿法

牛顿法.png

切 线 方 程 为 : y_{切} = - \frac{x - x_{1}}{l a n e_{1}^{'} (x_{1})} + y_{1}

x_{2} = \underset{x}{a r g} m i n (y_{2} - y_{切}) = \underset{x}{a r g} m i n (l a n e_{2} (x) - (- \frac{x - x_{1}}{l a n e_{1}^{'} (x_{1})} + l a n e_{1} (x)))

P_{1} = (x_{1}, l a n e_{1} (x_{1}))

P_{2} = (x_{2}, l a n e_{2} (x_{2}))

w i d t h = {| | P_{1} - P_{2} | |}_{2}

h e a d = | l a n e 1^{'} (x_{1}) - l a n e_{2}^{'} (x_{2}) |