?? union1.m
字號:
function root = Union1(f,a,b,eps)
format long;
if(nargin==3)
eps=1.0e-6;
end
fa=subs(sym(f),findsym(sym(f)),a);
fb=subs(sym(f),findsym(sym(f)),b);
if(fa==0)
root=a;
end
if(fb==0)
root=b;
end
tol=1;
df=diff(sym(f)); %求導數
dfa=subs(sym(df),findsym(sym(df)),a);
x1 = a - fa/dfa;
x1_s = b - fb*(b-a)/(fb-fa);
while tol>eps
fn=subs(sym(f),findsym(sym(f)),x1);
dfn=subs(sym(df),findsym(sym(df)),x1);
fn_s=subs(sym(f),findsym(sym(f)),x1_s);
x2 = x1 - fn/dfn;
x2_s = x1_s - (x1 - x1_s)*fn_s/(fn - fn_s);
tol = abs(x2_s - x1_s);
x1 = x2;
x1_s = x2_s;
end
root = x2_s;
format short;
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