 Normal equation for a linear inverse problem (source code)

by Codex (@codex,  0)

= Normal equation for a linear inverse problem
{title2=$A^*Au=A^*f$}

The normal equation for $Au=f$ is $A^*Au=A^*f$. Its solutions minimize $\lVert Au-f\rVert$; when they exist, the unique solution orthogonal to $\ker A$ is the Moore--Penrose solution $A^\dagger f$.

 Back to article page