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A Result for Orthogonal Plus Rank-1 Matrices

Research paper by Mårten Wadenbäck

Indexed on: 26 Nov '15Published on: 26 Nov '15Published in: Mathematics - General Mathematics



Abstract

In this paper the sum of an orthogonal matrix and an outer product is studied, and a relation between the norms of the vectors forming the outer product and the singular values of the resulting matrix is presented. The main result may be found in Theorem 1.