Orthogonalisointi
Orthogonalisointi, meaning orthogonalization in English, is a process used in linear algebra and related fields to transform a set of vectors into a set of orthogonal vectors. Orthogonal vectors are vectors that are perpendicular to each other, meaning their dot product is zero. The most well-known method for performing orthogonalization is the Gram-Schmidt process.
The Gram-Schmidt process takes a set of linearly independent vectors and produces an orthogonal set of vectors
Orthogonalization has numerous applications. It is fundamental in numerical analysis for solving systems of linear equations