Hessenberg matrix

square matrix that has zero entries below the first subdiagonal or has zero entries above the first superdiagonal
Thing general Q428813
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Hessenberg matrix

Summary

Hessenberg matrix ranks in the top 2% of general entities by monthly Wikipedia readership (72 views/month).[1]

Key Facts

  • Karl Hessenberg is named after Hessenberg matrix[2].
  • Hessenberg matrix's subclass of is recorded as square matrix[3].
  • Hessenberg matrix's Freebase ID is recorded as /m/02kwqf[4].
  • Hessenberg matrix's defining formula is recorded as \begin{pmatrix}h_{11} & h_{12} & h_{13} & \cdots & h_{1n}\h_{21} & h_{22} & h_{23} &\cdots & h_{2n}\0 & h_{32} & h_{33} & \cdots & h_{3n}\\vdots & \ddots & \ddots & \ddots & \vdots\0 & \cdots & 0 & h_{nn-1} & h_{nn}\end{pmatrix}[5].
  • Hessenberg matrix's MathWorld ID is recorded as HessenbergMatrix[6].
  • Hessenberg matrix's maintained by WikiProject is recorded as WikiProject Mathematics[7].
  • Hessenberg matrix's Microsoft Academic ID is recorded as 97769731[8].
  • Hessenberg matrix's PlanetMath ID is recorded as HessenbergMatrix[9].

Why It Matters

Hessenberg matrix ranks in the top 2% of general entities by monthly Wikipedia readership (72 views/month).[1] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[10] It is known by 3 alternative names across languages and contexts.[11]

References

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

Direct Wikidata claims

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

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [10] . Wikidata sitelinks. wikidata.org.
  3. [11] . 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). Hessenberg matrix. Retrieved April 10, 2026, from https://4ort.xyz/entity/hessenberg-matrix
MLA “Hessenberg matrix.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/hessenberg-matrix.
BibTeX @misc{4ortxyz_hessenberg-matrix_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Hessenberg matrix}}, year = {2026}, url = {https://4ort.xyz/entity/hessenberg-matrix}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Hessenberg matrix — https://4ort.xyz/entity/hessenberg-matrix (retrieved 2026-04-10)

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