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[ÇóÖú] ÇóÖú¹ØÓÚMatlabÖеÄhermiteÇúÏßÄâºÏ

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2£©Èç¹ûÒªµ÷Óøú¯Êý£¬Èç¹ûÒѾ­ÓÐx,yºÍy_1ÏòÁ¿£¬Ôõô»­³öhermiteÇúÏߣ¿
function f = Hermite(x,y,y_1,x0)
syms t;
f = 0.0;
if(length(x) == length(y))
    if(length(y) == length(y_1))
        n = length(x);
    else
        disp('yºÍyµÄµ¼ÊýµÄάÊý²»ÏàµÈ£¡');
        return;
    end
else
    disp('xºÍyµÄάÊý²»ÏàµÈ£¡');
    return;
end
for i=1:n
    h = 1.0;
    a = 0.0;
    for j=1:n
        if( j ~= i)
            h = h*(t-x(j))^2/((x(i)-x(j))^2);
            a = a + 1/(x(i)-x(j));
        end
    end
     
    f = f + h*((x(i)-t)*(2*a*y(i)-y_1(i))+y(i));
    if(i==n)
        if(nargin == 4)
            f = subs(f,'t',x0);
        else
            f = vpa(f,6);
        end
    end
end
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