singularvärdesförstoring
Singular value decomposition, often abbreviated as SVD, is a factorization of a real or complex matrix. Given an m x n matrix A, its singular value decomposition is a factorization of the form A = UΣV*, where U is an m x m unitary matrix, Σ is an m x n rectangular diagonal matrix with non-negative real numbers on the diagonal, and V* is the conjugate transpose of an n x n unitary matrix V. The diagonal entries of Σ are known as the singular values of A, and they are typically listed in descending order. The columns of U are the left singular vectors, and the columns of V are the right singular vectors.
The singular value decomposition is a powerful tool in linear algebra with numerous applications. It provides