编写程序,用牛顿切线法求方程f(x)= x+lnx-1.7=0的近似实根r,迭代初值自选,精确到0.0001.〔提示:计算
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![编写程序,用牛顿切线法求方程f(x)= x+lnx-1.7=0的近似实根r,迭代初值自选,精确到0.0001.〔提示:计算](/uploads/image/z/7310670-6-0.jpg?t=%E7%BC%96%E5%86%99%E7%A8%8B%E5%BA%8F%2C%E7%94%A8%E7%89%9B%E9%A1%BF%E5%88%87%E7%BA%BF%E6%B3%95%E6%B1%82%E6%96%B9%E7%A8%8Bf%28x%29%EF%BC%9D+x%2Blnx-1.7%EF%BC%9D0%E7%9A%84%E8%BF%91%E4%BC%BC%E5%AE%9E%E6%A0%B9r%2C%E8%BF%AD%E4%BB%A3%E5%88%9D%E5%80%BC%E8%87%AA%E9%80%89%2C%E7%B2%BE%E7%A1%AE%E5%88%B00.0001.%E3%80%94%E6%8F%90%E7%A4%BA%3A%E8%AE%A1%E7%AE%97)
编写程序,用牛顿切线法求方程f(x)= x+lnx-1.7=0的近似实根r,迭代初值自选,精确到0.0001.〔提示:计算
编写程序,用牛顿切线法求方程f(x)= x+lnx-1.7=0的近似实根r,迭代初值自选,精确到0.0001.〔提示:计算
编写程序,用牛顿切线法求方程f(x)= x+lnx-1.7=0的近似实根r,迭代初值自选,精确到0.0001.〔提示:计算
程序;
clear
clc
syms x
f=(x+log(x)-1.7).^2;
eps=1;x0=1;
df=diff(f,x);
dff=diff(df,x);
while abs(eps)>1e-4
df1=subs(df,x,x0);
dff2=subs(dff,x,x0);
if dff2==0
break
else
xx=x0-(1/dff2)*df1;
end
eps=xx-x0;x0=xx;
end
x0
min=subs(f,x,x0)
运行结果:
x0 =
1.3788
min =
2.5738e-022
程序;
clear
clc
syms x
f=(x+log(x)-1.7).^2;
eps=1;x0=1;
df=diff(f,x);
dff=diff(df,x);
while abs(eps)>1e-4
df1=subs(df,x,x0);
dff2=subs(dff,x,x0);
...
全部展开
程序;
clear
clc
syms x
f=(x+log(x)-1.7).^2;
eps=1;x0=1;
df=diff(f,x);
dff=diff(df,x);
while abs(eps)>1e-4
df1=subs(df,x,x0);
dff2=subs(dff,x,x0);
if dff2==0
break
else
xx=x0-(1/dff2)*df1;
end
eps=xx-x0;x0=xx;
end
x0
min=subs(f,x,x0)
运行结果:
x0 =
1.3788
min =
收起