?? twostep.m
字號:
function root=TwoStep(f,a,b,type,eps)
if(nargin==4)
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('兩端點函數值乘積大于0!');
return;
else
tol=1;
fun=diff(sym(f));
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)
if(type==1)
r1=root;
fx1=subs(sym(f),findsym(sym(f)),r1);
dfx=subs(sym(fun),findsym(sym(fun)),r1);
r2=r1-fx1/dfx;
fx2=subs(sym(f),findsym(sym(f)),r2);
root=r2-fx2/dfx;
tol=abs(root-r1);
else
r1=root;
fx1=subs(sym(f),findsym(sym(f)),r1);
dfx=subs(sym(fun),findsym(sym(fun)),r1);
r2=r1-fx1/dfx;
fx2=subs(sym(f),findsym(sym(f)),r2);
root=r2-fx2*(r2-r1)/(2*fx2-fx1);
tol=abs(root-r1);
end
end
end
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