Sherman–Morrison formula

formula computing the inverse of the sum of a matrix with the outer product of two vectors
Thing identity Q2278354
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Sherman–Morrison formula

Summary

Sherman–Morrison formula is an identity[1]. It draws 252 Wikipedia views per month (identity category, ranking #5 of 17).[2]

Key Facts

  • Sherman–Morrison formula's instance of is recorded as identity[3].
  • Sherman–Morrison formula's Freebase ID is recorded as /m/07mv7s[4].
  • Sherman–Morrison formula's defining formula is recorded as \left(A + uv^\textsf{T}\right)^{-1} = A^{-1} - {A^{-1}uv^\textsf{T}A^{-1} \over 1 + v^\textsf{T}A^{-1}u}[5].
  • Sherman–Morrison formula's studied by is recorded as linear algebra[6].
  • Sherman–Morrison formula's MathWorld ID is recorded as Sherman-MorrisonFormula[7].
  • Sherman–Morrison formula's maintained by WikiProject is recorded as WikiProject Mathematics[8].
  • Sherman–Morrison formula's Microsoft Academic ID is recorded as 192900372[9].
  • Sherman–Morrison formula's in defining formula is recorded as A^{-1}[10].
  • Sherman–Morrison formula's in defining formula is recorded as uv^\top[11].

Why It Matters

Sherman–Morrison formula draws 252 Wikipedia views per month (identity category, ranking #5 of 17).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[12]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [12] . Wikidata sitelinks. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). Sherman–Morrison formula. Retrieved May 3, 2026, from https://4ort.xyz/entity/sherman-morrison-formula
MLA “Sherman–Morrison formula.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/sherman-morrison-formula.
BibTeX @misc{4ortxyz_sherman-morrison-formula_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Sherman–Morrison formula}}, year = {2026}, url = {https://4ort.xyz/entity/sherman-morrison-formula}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Sherman–Morrison formula — https://4ort.xyz/entity/sherman-morrison-formula (retrieved 2026-05-03)

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