作为Python世界的新手,我只是简单地将以下两个变量函数线性化:
功能
使用相当常规的牛顿方法:
线性化方法
这是我到目前为止所尝试的:
import numpy as np
import math
from sympy import symbols, diff
d = 1.7
def f(arg1, arg2):
return (arg1 - arg2)/(np.power(np.linalg.norm(arg1 - arg2),2) - np.power(d,2))
def linearize_f(f, arg1, arg2, equi_arg1, equi_arg2):
arg1, arg2 = symbols('arg1 arg2', real=True)
der_1 = diff(f(arg1,arg2), arg1)
der_2 = diff(f(arg1,arg2), arg2)
constant_term = f(equi_arg1, equi_arg2)
vars = sympy.symbols('arg1, arg2')
par_term_1 = sympy.evalf(der_1, subs = dict(zip(vars,[equi_arg1, equi_arg2])))
par_term_2 = sympy.evalf(der_2, subs = dict(zip(vars,[equi_arg1, equi_arg2])))
result = constant_term + par_term_1*(arg1-equi_arg1) + par_term_2*(arg2-equi_arg2)
return …Run Code Online (Sandbox Code Playgroud)