Solution
= Solution
The <energy norm> associated with this <symmetric positive-definite matrix> is
$$
\boxed{\|e\|_A=(e^TAe)^{1/2}.}
$$
It is the norm induced by the inner product $\langle u,v\rangle_A=u^TAv$. The <conjugate gradient method> minimizes this error norm over its successive affine <Krylov subspaces>.