Sherman–Morrison formula
= Sherman–Morrison formula
{c}
{wiki}
If $A$ is invertible and $1+v^TA^{-1}u\ne0$, then
$$
(A+uv^T)^{-1}
=A^{-1}-\frac{A^{-1}uv^TA^{-1}}{1+v^TA^{-1}u}.
$$
= Matrix inverses
{synonym}
= Sherman–Morrison formula
{c}
{wiki}
If $A$ is invertible and $1+v^TA^{-1}u\ne0$, then
$$
(A+uv^T)^{-1}
=A^{-1}-\frac{A^{-1}uv^TA^{-1}}{1+v^TA^{-1}u}.
$$
= Matrix inverses
{synonym}