解非线性方程组已知某非线性方程组如下:ff(1)=(3-5*x(1))*x(1)+1-2*x(2)=0for k=2:9ff(k)=(3-5*x(k))*x(k)+1-x(k-1)-2*x(k+1)=0endff(10)=(3-5*x(10))*x(10)+1-x(9)=0试求该方程组的解.
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![解非线性方程组已知某非线性方程组如下:ff(1)=(3-5*x(1))*x(1)+1-2*x(2)=0for k=2:9ff(k)=(3-5*x(k))*x(k)+1-x(k-1)-2*x(k+1)=0endff(10)=(3-5*x(10))*x(10)+1-x(9)=0试求该方程组的解.](/uploads/image/z/5605968-48-8.jpg?t=%E8%A7%A3%E9%9D%9E%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84%E5%B7%B2%E7%9F%A5%E6%9F%90%E9%9D%9E%E7%BA%BF%E6%80%A7%E6%96%B9%E7%A8%8B%E7%BB%84%E5%A6%82%E4%B8%8B%EF%BC%9Aff%281%29%3D%283-5%2Ax%281%29%29%2Ax%281%29%2B1-2%2Ax%282%29%EF%BC%9D0for+k%3D2%3A9ff%28k%29%3D%283-5%2Ax%28k%29%29%2Ax%28k%29%2B1-x%28k-1%29-2%2Ax%28k%2B1%29%EF%BC%9D0endff%2810%29%3D%283-5%2Ax%2810%29%29%2Ax%2810%29%2B1-x%289%29%EF%BC%9D0%E8%AF%95%E6%B1%82%E8%AF%A5%E6%96%B9%E7%A8%8B%E7%BB%84%E7%9A%84%E8%A7%A3.)
解非线性方程组已知某非线性方程组如下:ff(1)=(3-5*x(1))*x(1)+1-2*x(2)=0for k=2:9ff(k)=(3-5*x(k))*x(k)+1-x(k-1)-2*x(k+1)=0endff(10)=(3-5*x(10))*x(10)+1-x(9)=0试求该方程组的解.
解非线性方程组
已知某非线性方程组如下:
ff(1)=(3-5*x(1))*x(1)+1-2*x(2)=0
for k=2:9
ff(k)=(3-5*x(k))*x(k)+1-x(k-1)-2*x(k+1)=0
end
ff(10)=(3-5*x(10))*x(10)+1-x(9)=0
试求该方程组的解.
解非线性方程组已知某非线性方程组如下:ff(1)=(3-5*x(1))*x(1)+1-2*x(2)=0for k=2:9ff(k)=(3-5*x(k))*x(k)+1-x(k-1)-2*x(k+1)=0endff(10)=(3-5*x(10))*x(10)+1-x(9)=0试求该方程组的解.
function hh
X0=[0.0079 -0.0386 -0.0864 0.0466 -0.0166 -0.1171 0.0661 -0.0327 -0.1910 0.0831];
[X,FVAL,EXITFLAG]=fsolve(@myfun,X0)
function ff=myfun(x)
ff(1)=(3-5*x(1))*x(1)+1-2*x(2);
for k=2:9
ff(k)=(3-5*x(k))*x(k)+1-x(k-1)-2*x(k+1);
end
ff(10)=(3-5*x(10))*x(10)+1-x(9);
结果:
Optimization terminated:first-order optimality is less than options.TolFun.
X =
-0.3821 -0.4381 -0.4459 -0.4470 -0.4470 -0.4464 -0.4441 -0.4362 -0.4079 -0.3096
FVAL =
1.0e-007 *
0 -0.0000 -0.0000 -0.0000 -0.0001 -0.0008 -0.0073 -0.0454 -0.1214 -0.0278
EXITFLAG =
1
二次函数,好像应该还有很多组解.