Minimum-norm least-squares solution (source code)

= Minimum-norm least-squares solution

A minimum-norm least-squares solution minimizes $\lVert Ax-y\rVert$ and, among all such minimizers, minimizes $\lVert x\rVert$. It lies in $(\ker A)^\perp$ and equals $A^\dagger y$ when the <Moore–Penrose inverse of an operator> is defined at $y$.