Moore–Penrose inverse

given a matrix A, the unique matrix B such that ABA = A, BAB = B, and that AB and BA are both Hermitian
Intangible mathematical_concept Q43219517
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Moore–Penrose inverse

Summary

Moore–Penrose inverse is a mathematical concept[1]. It has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[2]

Key Facts

  • Moore–Penrose inverse is credited with the discovery of Eliakim Hastings Moore[3].
  • Moore–Penrose inverse's instance of is recorded as mathematical concept[4].
  • Eliakim Hastings Moore is named after Moore–Penrose inverse[5].
  • Roger Penrose is named after Moore–Penrose inverse[6].
  • Moore–Penrose inverse is a type of generalized inverse[7].
  • Moore–Penrose inverse's time of discovery or invention is recorded as 1920[8].
  • Moore–Penrose inverse's maintained by WikiProject is recorded as WikiProject Mathematics[9].

Body

Definition and Type

Moore–Penrose inverse's instance of is recorded as mathematical concept[4]. It is a type of generalized inverse[7].

Origins

Things named after include Eliakim Hastings Moore[5], a mathematician[10], 1862–1932[11], of United States[12], specialised in algebraic geometry[13] and Roger Penrose[6], a mathematician[14], b. 1931[15], of United Kingdom[16], awarded the Fellow of the Royal Society[17], specialised in physics[18].

Why It Matters

Moore–Penrose inverse has Wikipedia articles in 9 language editions, a strong signal of global cultural recognition.[2] It is known by 8 alternative names across languages and contexts.[19]

References

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

Direct Wikidata claims

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

Inline context (facts about related entities)

  1. [10] . Wikidata. wikidata.org. → on this site
  2. [11] . Wikidata. wikidata.org. → on this site
  3. [12] . Wikidata. wikidata.org. → on this site
  4. [13] . Wikidata. wikidata.org. → on this site
  5. [14] . Wikidata. wikidata.org. → on this site
  6. [15] . Wikidata. wikidata.org. → on this site
  7. [16] . Wikidata. wikidata.org. → on this site
  8. [17] . Wikidata. wikidata.org. → on this site
  9. [18] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikidata sitelinks. wikidata.org.
  2. [19] . Wikidata aliases. 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). Moore–Penrose inverse. Retrieved May 3, 2026, from https://4ort.xyz/entity/moore-penrose-inverse
MLA “Moore–Penrose inverse.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/moore-penrose-inverse.
BibTeX @misc{4ortxyz_moore-penrose-inverse_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Moore–Penrose inverse}}, year = {2026}, url = {https://4ort.xyz/entity/moore-penrose-inverse}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Moore–Penrose inverse — https://4ort.xyz/entity/moore-penrose-inverse (retrieved 2026-05-03)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 4w ago · Beegies · 2026-06-23 view diff on Wikidata ↗
    Named after Eliakim Hastings Moore, Roger Penrose
    Discoverer or inventor Eliakim Hastings Moore
    Lexikon der mathematik entry id 7172
    Maintained by wikiproject WikiProject Mathematics
    + 6 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:1||1 */ [[Property:P12975]]: 7172, Matched to [[:toollabs:mix-n-match/#/entry/168758214|Moore-Penrose-Inverse (#168758214)]] in [[:toollabs:mix-n-match/#/catalog/6422|spektrum.de "
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.