?? multiroot.m
字號(hào):
function root=MultiRoot(f,a,b,eps)
if(nargin==3)
eps=1.0e-4;
end
f1=subs(sym(f),findsym(sym(f)),a);
f2=subs(sym(f),findsym(sym(f)),b);
if(f1==0)
root=a;
end
if(f2==0)
root=b;
end
if(f1*f2>0)
disp('兩端點(diǎn)函數(shù)值乘積大于0!');
return;
else
tol=1;
fun=diff(sym(f));
ddf=diff(sym(fun));
fa=subs(sym(f),findsym(sym(f)),a);
fb=subs(sym(f),findsym(sym(f)),b);
dfa=subs(sym(fun),findsym(sym(fun)),a);
dfb=subs(sym(fun),findsym(sym(fun)),b);
if(dfa>dfb)
root=a;
else
root=b;
end
while(tol>eps)
r1=root;
fx=subs(sym(f),findsym(sym(f)),r1);
dfx=subs(sym(fun),findsym(sym(fun)),r1);
ddfx=subs(sym(ddf),findsym(sym(ddf)),r1);
root=r1-fx*dfx/(dfx*dfx-fx*ddfx);
tol=abs(root-r1);
end
end
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