?? mulconj.m
字號:
function [r,m]=mulConj(F,x0,h,eps)
format long;
if nargin==3
eps=1.0e-6;
end
n = length(x0);
x0 = transpose(x0);
fx0 = subs(F,findsym(F),x0);
p0 = zeros(n,n);
for i=1:n
x1 = x0;
x1(i) = x1(i)*(1+h);
p0(:,i) = -(subs(F,findsym(F),x1)-fx0)/h;
end
m=1;
tol=1;
while tol>eps
fx = subs(F,findsym(F),x0);
J = zeros(n,n);
for i=1:n
x1 = x0;
x1(i) = x1(i)+h;
J(:,i) = (subs(F,findsym(F),x1)-fx)/h;
end
lamda = fx/sum(diag(transpose(J)*J));
r=x0+p0*lamda; %核心迭代公式
fr = subs(F,findsym(F),r);
Jnext = zeros(n,n);
for i=1:n
x1 = r;
x1(i) = x1(i)+h;
Jnext(:,i) = (subs(F,findsym(F),x1)-fr)/h;
end
abs1 = transpose(Jnext)*Jnext;
abs2 = transpose(J)*J;
v = abs1/abs2;
if (abs(det(v)) < 1)
p1 = -Jnext+p0*v;
else
p1 = -Jnext;
end
tol=norm(r-x0);
p0 = p1;
x0 = r;
m=m+1;
if(m>100000) %迭代步數(shù)控制
disp('迭代步數(shù)太多,可能不收斂!');
return;
end
end
format short;
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