Gram-Schmidt process

method for orthonormalising a set of vectors
Place algorithm Q475239
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Gram-Schmidt process

Summary

Gram-Schmidt process is an algorithm[1]. It ranks in the top 3% of algorithm entities by monthly Wikipedia readership (656 views/month).[2]

Key Facts

  • Gram-Schmidt process's instance of is recorded as algorithm[3].
  • Jørgen Pedersen Gram is named after Gram-Schmidt process[4].
  • Erhard Schmidt is named after Gram-Schmidt process[5].
  • Gram-Schmidt process's has use is recorded as mathematical construction[6].
  • Gram-Schmidt process's has use is recorded as linear algebra[7].
  • Gram-Schmidt process's Freebase ID is recorded as /m/0l4mx[8].
  • Gram-Schmidt process's computes solution to is recorded as orthogonalization[9].
  • Gram-Schmidt process's MathWorld ID is recorded as Gram-SchmidtOrthonormalization[10].
  • Gram-Schmidt process's Quora topic ID is recorded as Gram-Schmidt[11].
  • Gram-Schmidt process's nLab ID is recorded as Gram-Schmidt process[12].
  • Gram-Schmidt process's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • Gram-Schmidt process's Microsoft Academic ID is recorded as 62525534[14].
  • Gram-Schmidt process's ProofWiki ID is recorded as Gram-Schmidt_Orthogonalization[15].
  • Gram-Schmidt process's Encyclopedia of Mathematics article ID is recorded as Orthogonalization[16].

Body

Designation and Status

Gram-Schmidt process's instance of is recorded as algorithm[3].

History and Context

Things named after include Jørgen Pedersen Gram[4], a mathematician[17], 1850–1916[18], of Kingdom of Denmark[19], awarded the The Royal Danish Academy Gold Medal[20], specialised in mathematics[21] and Erhard Schmidt[5], a mathematician[22], 1876–1959[23], of German Democratic Republic[24], awarded the National Prize of East Germany[25], specialised in functional analysis[26].

Why It Matters

Gram-Schmidt process ranks in the top 3% of algorithm entities by monthly Wikipedia readership (656 views/month).[2] It has Wikipedia articles in 24 language editions, a strong signal of global cultural recognition.[27] It is known by 74 alternative names across languages and contexts.[28]

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] . Freebase Data Dumps. wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . Quora. wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.

Inline context (facts about related entities)

  1. [17] . Wikidata. wikidata.org. → on this site
  2. [18] . Wikidata. wikidata.org. → on this site
  3. [19] . Wikidata. wikidata.org. → on this site
  4. [20] . Wikidata. wikidata.org. → on this site
  5. [21] . Wikidata. wikidata.org. → on this site
  6. [22] . Wikidata. wikidata.org. → on this site
  7. [23] . Wikidata. wikidata.org. → on this site
  8. [24] . Wikidata. wikidata.org. → on this site
  9. [25] . Wikidata. wikidata.org. → on this site
  10. [26] . Wikidata. wikidata.org. → on this site

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [27] . Wikidata sitelinks. wikidata.org.
  3. [28] . 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). Gram-Schmidt process. Retrieved May 3, 2026, from https://4ort.xyz/entity/gram-schmidt-process
MLA “Gram-Schmidt process.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/gram-schmidt-process.
BibTeX @misc{4ortxyz_gram-schmidt-process_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Gram-Schmidt process}}, year = {2026}, url = {https://4ort.xyz/entity/gram-schmidt-process}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Gram-Schmidt process — https://4ort.xyz/entity/gram-schmidt-process (retrieved 2026-05-03)

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