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polar decomposition

representation of invertible matrices as unitaries multiplying a Hermitian operator
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polar decomposition

Summary

polar decomposition has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[1]

Key Facts

  • polar decomposition is a type of matrix decomposition[2].
  • polar decomposition's studied by is recorded as operator theory[3].
  • polar decomposition's maintained by WikiProject is recorded as WikiProject Mathematics[4].

Body

Definition and Type

polar decomposition is a type of matrix decomposition[2].

Why It Matters

polar decomposition has Wikipedia articles in 13 language editions, a strong signal of global cultural recognition.[1] It is known by 5 alternative names across languages and contexts.[5]

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] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikidata sitelinks. wikidata.org.
  2. [5] ↑ . 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). polar decomposition. Retrieved April 10, 2026, from https://4ort.xyz/entity/polar-decomposition
MLA “polar decomposition.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/polar-decomposition.
BibTeX @misc{4ortxyz_polar-decomposition_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{polar decomposition}}, year = {2026}, url = {https://4ort.xyz/entity/polar-decomposition}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): polar decomposition — https://4ort.xyz/entity/polar-decomposition (retrieved 2026-04-10)

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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. 4d ago · Nyuhn · 2026-07-10 view diff on Wikidata ↗
    P14541 → 20MJ4R
    Aliases → —
    Studied by → operator theory
    Subclass of → —
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbeditentity-update:0| */ QuickStatements 3.0 [[:toollabs:qs-dev/batch/40849|batch #40849]]: ZGBK ID"
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