| 翻訳と辞書 | Bunch–Nielsen–Sorensen formula| Bunch–Nielsen–Sorensen formula  : ウィキペディア英語版 | 
 In mathematics, in particular linear algebra, the Bunch–Nielsen–Sorensen formula, named after James R. Bunch, Christopher P. Nielsen and Danny C. Sorensen, expresses the eigenvectors of the sum of a symmetric matrix  and the outer product, , of vector  with itself.
 ==Statement==
 Let  denote the eigenvalues of  and  denote the eigenvalues of the updated matrix .  In the special case when  is diagonal, the eigenvectors  of  can be written
 :
 where  is a number that makes the vector  normalized.
 
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