In linear algebra, the Sherman–Morrison formula, named after Jack Sherman and Winifred J. Morrison, computes the inverse of a "rank-1 update" to a matrix...

Alternative names for this formula are the matrix inversion lemma, Sherman–Morrison–Woodbury formula or just Woodbury formula. However, the identity appeared...

)\det(\mathbf {A} ).} The Sherman–Morrison formula, which shows how to update the inverse, A−1, to obtain (A + uvT)−1. The Woodbury formula, which shows how to...

identity Parseval's identity Pfister's sixteen-square identity Sherman–Morrison formula Sophie Germain identity Sun's curious identity Sylvester's determinant...

{\displaystyle {\tilde {q}}_{i}} normalized. This formula can be derived from the Sherman–Morrison formula by examining the poles of ( A − λ ~ I + v v T )...

applying the matrix determinant lemma, in conjunction with the Sherman–Morrison formula. Noting that the characteristic equation matrix, σ ↔ − λ I {\displaystyle...

it is unitary: P − 1 = P ∗ {\textstyle P^{-1}=P^{*}} (via the Sherman-Morrison formula), hence it is involutory: P = P − 1 {\textstyle P=P^{-1}} . A Householder...

{\displaystyle B_{k}} , which can be obtained efficiently by applying the Sherman–Morrison formula to the step 5 of the algorithm, giving B k + 1 − 1 = ( I − s k...

in the training, or by using fast "updating rules" such as the Sherman–Morrison formula. However one must be careful to preserve the "total blinding" of...

1 = B k + 1 − 1 {\displaystyle H_{k+1}=B_{k+1}^{-1}} using the Sherman–Morrison formula. A key property of the BFGS and DFP updates is that if B k {\displaystyle...

it based upon the first step. Broyden also suggested using the Sherman–Morrison formula to directly update the inverse of the approximate Jacobian matrix:...

named after him. The related Sherman–Morrison formula is a special case of the formula, with the term Sherman-Morrison-Woodbury sometimes used. An early...

.\end{alignedat}}} In this case, we can make use of the Sherman–Morrison formula to avoid the additional operations of Gaussian elimination and...

remains of full rank (maintaining the inverse matrix using the Sherman–Morrison formula to check the rank after each removal), one can find a solution...

The inverse compact representation can be found by applying the Sherman-Morrison-Woodbury inverse to B k {\displaystyle B_{k}} . The compact representation...

from Prisoner saw Punishment imbued with greater realism; however, the formula did not attract high viewing figures. Network Ten deemed the new series...

Academy Award for Best Actress for her performance in the title role. Sherman Brothers receives 2 Oscars including Best Song, "Chim Chim Cher-ee". April...

Findlay Isaac Houlbrooke Hugo Inglis Samuel Lane Dane Lett Charlie Morrison Joe Morrison Hayden Phillips Kane Russell Jacob Smith Blair Tarrant Nic Woods...

During the American Civil War, Union forces led by General William T. Sherman launch an assault on Atlanta. 1876 – Ottoman Sultan Murad V is deposed...

magazine, and she remembered how she felt at that age and developed a formula to increase readership in that demographic. 16's covers attracted readers...

application for the Sherman-Morrison-Woodbury identity. Since the DFP (Davidon Fletcher Powell) update is the dual of the BFGS formula (i.e., swapping H...

During the 2022 United States infant formula shortage, Cammack criticized the Biden administration for sending baby formula to detention facilities on the U...

p. 1232.{{cite book}}: CS1 maint: numeric names: authors list (link) Sherman, Daniel J. et al. eds. The Long 1968: Revisions and New Perspectives (Indiana...

Kravchenko, Ukrainian police officer and politician (born 1951) 2005 – Carlos Sherman, Uruguayan-Belarusian author and activist (born 1934) 2006 – John Reynolds...

to ⁠ A {\displaystyle A} ⁠ can be computed by applying the Sherman–Morrison–Woodbury formula to update the inverse of the correlation matrix, which may...

area campaign. In 1990, four-term incumbent U.S. Representative Bruce Morrison of Connecticut's 3rd congressional district retired in order to run for...

selling directly to fans more than 8% of a venue's tickets violated the Sherman Antitrust Act. The suit followed an unsuccessful petitioning by SCI, R...

John Clark, both Irish Catholics like himself. He repeatedly uses the formula whereby the heroes are "highly skilled, disciplined, honest, thoroughly...

Call. February 14, 2011. Archived from the original on October 10, 2019. Sherman, Jake; Isenstadt, Alex (January 14, 2014). "Democrat Bill Owens to retire"...

Archived from the original on 15 April 2021. Retrieved 15 April 2021. Sherman, Heidi (2 June 1998). "Ginger Spice's Departure Marks 'End of the Beginning'"...