Nearest least-squares solution
= Nearest least-squares solution
{title2=$u_0^\dagger=K^\dagger f+P_{\mathcal N(K)}u_0$}
The <orthogonal projection> of a prescribed point $u_0$ onto the <affine subspace> of <least-squares solutions> is unique. It retains $u_0$'s <null space> component and chooses the determined component from the <Moore–Penrose inverse of an operator>.