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Mathematical Object

Cholesky Decomposition

Computation, Optimization and Control

In linear algebra, the Cholesky decomposition, or Cholesky factorization, decomposes a Hermitian positive-definite matrix into the product of a lower triangular matrix and its own conjugate transpose, which is useful for efficient numerical solutions such as Monte Carlo simulations. It was discovered by Andre-Louis Cholesky for real matrices and published only after his death, in 1924, and where it applies it is roughly twice as efficient as the LU decomposition for solving systems of linear equations. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/

Facts
Origin Year
1924 1
discovered by Andre-Louis Cholesky, posthumously published in 1924
Classification
Object Kind
Operator 1
Connections

In Branch

Source Cholesky Decomposition (Wikipedia)

Is Kind Of Object

Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.

Sources
1. Cholesky Decomposition (Wikipedia)
In Branch: Linear Algebra, Lead sentenceView the Source
Wikidata: Cholesky Decomposition
Wikidata Q515375, class allow-list match (w-wdresolver-0926)View the Source
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