本程序介绍了如何在MATLAB环境中实现共轭梯度算法，适用于求解大规模线性方程组和优化问题。通过详细代码示例，帮助学习者掌握该方法的核心原理与应用技巧。
共轭梯度法的MATLAB程序如下：
```matlab
function x = cg(A,b)
tol=1e-10;
r = b + A*b;
w = -r;
z = A*w;
s = w*z;
t = (r*w)/s;
x = -b + t*w;
for k = 1:numel(b);
r = r - t*z;
if( norm(r) < tol )
return;
end
B = (r*z)/s;
w = -r + B*w;
z = A*w;
s = w*z;
t = (r*w)/s;
x = x + t*w;
end
```
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