Gram–Schmidt process
Orthonormalization of a set of vectors
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 R n {\displaystyle \mathbb {R} ^{n}} equipped with the standard inner product. The Gram–Schmidt process takes a finite, linearly independent set of vectors S = { v 1 , … , v k } {\displaystyle S=\{\mathbf {v} _{1},\ldots ,\mathbf {v} _{k}\}} for k...
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