spectral radius

largest absolute value of an operator's eigenvalues
Thing similarity_invariance Q249748
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spectral radius

Summary

spectral radius is a similarity invariance[1]. It draws 200 Wikipedia views per month (similarity_invariance category, ranking #2 of 3).[2]

Key Facts

  • spectral radius's instance of is recorded as similarity invariance[3].
  • spectral radius's subclass of is recorded as eigenvalue[4].
  • spectral radius's Freebase ID is recorded as /m/0226gb[5].
  • spectral radius's defining formula is recorded as \rho(A) = \max \left { |\lambda_1|, \dotsc, |\lambda_n| \right }[6].
  • spectral radius's defining formula is recorded as \rho(A) = \sup_{\lambda \in \sigma(A)} |\lambda|[7].
  • spectral radius's MathWorld ID is recorded as SpectralRadius[8].
  • spectral radius's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • spectral radius's Microsoft Academic ID is recorded as 140532419[10].
  • spectral radius's in defining formula is recorded as \lambda[11].
  • spectral radius's PlanetMath ID is recorded as SpectralRadius[12].
  • spectral radius's OpenAlex ID is recorded as C140532419[13].

Why It Matters

spectral radius draws 200 Wikipedia views per month (similarity_invariance category, ranking #2 of 3).[2] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[14] It is known by 3 alternative names across languages and contexts.[15]

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] . Freebase Data Dumps. 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.
  10. [12] . wikidata.org.
  11. [13] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.

Class ancestry

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

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] . Wikidata sitelinks. wikidata.org.
  3. [15] . 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). spectral radius. Retrieved May 3, 2026, from https://4ort.xyz/entity/spectral-radius
MLA “spectral radius.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/spectral-radius.
BibTeX @misc{4ortxyz_spectral-radius_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{spectral radius}}, year = {2026}, url = {https://4ort.xyz/entity/spectral-radius}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): spectral radius — https://4ort.xyz/entity/spectral-radius (retrieved 2026-05-03)

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