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Gram-Schmidt process

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Also known as Gram–Schmidt process, Gram-Schmidt orthonormalization, Gram–Schmidt orthonormalization, Gram–Schmidt method, Gram-Schmidt

method for orthonormalising a set of vectors

Wikidata facts

Instance of
algorithm
Named after
Erhard Schmidt
Show 2 more facts
computes solution to
orthogonalization
maintained by WikiProject
WikiProject Mathematics
Sources (1)

via Wikidata · CC0

~27 min read

Encyclopedic overview

The first two steps of the Gram–Schmidt process In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process or Gram-Schmidt algorithm is a way of finding a set of two or more vectors that are perpendicular to each other.

By technical definition, it is a method of constructing an orthonormal basis from a set of vectors in an inner product space, most commonly the Euclidean space

Excerpted from Wikipedia’s “Gram-Schmidt process” article, available under the CC BY-SA 4.0 licence.