Talk:Complete orthogonal decomposition

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rank- 1 updates?

The Standard reference (Golub, Van Loan) only explains addition and removal of rows or columns at the borders of the matrix. Is there anything known about a full rank one update of the UTV decomposition? So, can the UTV decomposition of (U T V + a b^T) be calculated in a quadratic amount of time? Florian Goth (talk) 15:43, 27 September 2024 (UTC)[reply]