Sherman–Morrison formula

In mathematics, in particular linear algebra, the Sherman–Morrison formula, named after Jack Sherman and Winifred J. Morrison, computes the inverse of the sum of an invertible matrix ${\displaystyle A}$ and the outer product, ${\displaystyle uv^{T}}$, of vectors ${\displaystyle u}$ and ${\displaystyle v}$. The Sherman–Morrison formula is a special case of the Woodbury formula. Though named after Sherman and Morrison, it appeared already in earlier publications.

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