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In mathematics, specifically linear algebra, the Woodbury matrix identity – named after Max A. Woodbury [1] [2] – says that the inverse of a rank-k correction of some matrix can be computed by doing a rank-k correction to the inverse of the original matrix.
The matrix determinant lemma performs a rank-1 update to a determinant. Woodbury matrix identity; Quasi-Newton method; Binomial inverse theorem; Bunch–Nielsen–Sorensen formula; Maxwell stress tensor contains an application of the Sherman–Morrison formula.
Euler's identity; Fibonacci's identity see Brahmagupta–Fibonacci identity or Cassini and Catalan identities; Heine's identity; Hermite's identity; Lagrange's identity; Lagrange's trigonometric identities; List of logarithmic identities; MacWilliams identity; Matrix determinant lemma; Newton's identity; Parseval's identity; Pfister's sixteen ...
The Woodbury matrix identity used in linear algebra is named after him. [7] [16] The related Sherman–Morrison formula is a special case of the formula, [17] [18] [19] with the term Sherman-Morrison-Woodbury sometimes used. An early overview of some of its uses has been given by Hager, [20] see also the book "Woodbury Matrix Identity". [21]
In mathematics, the Weinstein–Aronszajn identity states that if ... It is the determinant analogue of the Woodbury matrix identity for matrix inverses. Proof
Some of the biggest brands in America, including Amazon, Meta, Walmart and McDonald’s, have recently changed or ended their diversity, equity and inclusion (DEI) programs. But e.l.f. Beauty, a ...
Officials at the state Department of Juvenile Justice did not respond to questions about YSI. A department spokeswoman, Meghan Speakes Collins, pointed to overall improvements the state has made in its contract monitoring process, such as conducting more interviews with randomly selected youth to get a better understanding of conditions and analyzing problematic trends such as high staff turnover.
Vector space. Linear combination; Linear span; Linear independence; Scalar multiplication; Basis. Change of basis; Hamel basis; Cyclic decomposition theorem; Dimension theorem for vector spaces