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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 and the outer product, , of vectors and . 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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  • Die Sherman-Morrison-Woodbury-Formel (nach Jack Sherman, Winifred J. Morrison und Max A. Woodbury) der linearen Algebra gibt eine explizite Darstellung der Inversen einer regulären Matrix nach einer Änderung von niederem Rang. Dies ist beispielsweise bei Quasi-Newton-Verfahren und beim Basiswechsel im Simplex-Verfahren interessant. In numerischen Verfahren kann die Verwendung der Formel zu Stabilitätsproblemen führen, weswegen Alternativen zu bevorzugen sind. (de)
  • 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 and the outer product, , of vectors and . The Sherman–Morrison formula is a special case of the Woodbury formula. Though named after Sherman and Morrison, it appeared already in earlier publications. (en)
  • Wzór Shermana-Morrisona – wzór służący do obliczenia odwrotności sumy macierzy odwracalnej i iloczynu diadycznego wektorów i Wzór Shermana-Morrisona jest szczególnym przypadkiem wzoru Shermana-Morrisona-Woodbury’ego. Nazwany na cześć Shermana i Morrisona, pojawiał się jednak we wcześniejszych publikacjach. (pl)
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  • Sherman–Morrison formula (en)
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  • Sherman-MorrisonFormula (en)
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  • Die Sherman-Morrison-Woodbury-Formel (nach Jack Sherman, Winifred J. Morrison und Max A. Woodbury) der linearen Algebra gibt eine explizite Darstellung der Inversen einer regulären Matrix nach einer Änderung von niederem Rang. Dies ist beispielsweise bei Quasi-Newton-Verfahren und beim Basiswechsel im Simplex-Verfahren interessant. In numerischen Verfahren kann die Verwendung der Formel zu Stabilitätsproblemen führen, weswegen Alternativen zu bevorzugen sind. (de)
  • 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 and the outer product, , of vectors and . The Sherman–Morrison formula is a special case of the Woodbury formula. Though named after Sherman and Morrison, it appeared already in earlier publications. (en)
  • Wzór Shermana-Morrisona – wzór służący do obliczenia odwrotności sumy macierzy odwracalnej i iloczynu diadycznego wektorów i Wzór Shermana-Morrisona jest szczególnym przypadkiem wzoru Shermana-Morrisona-Woodbury’ego. Nazwany na cześć Shermana i Morrisona, pojawiał się jednak we wcześniejszych publikacjach. (pl)
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  • Sherman-Morrison-Woodbury-Formel (de)
  • Wzór Shermana-Morrisona (pl)
  • Sherman–Morrison formula (en)
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