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#singular_value_decomposition

Singular value decomposition

Matrix decomposition

In linear algebra, the singular value decomposition (SVD) is a factorization of a real or complex matrix into a rotation, followed by a rescaling followed by another rotation. It generalizes the eigendecomposition of a square normal matrix with an orthonormal eigenbasis to any ⁠⁠ matrix. It is related to the polar decomposition.

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Singular value decomposition Singular value Higher-order singular value decomposition Generalized singular value decomposition Spectral theorem Matrix decomposition Ridge regression Principal component analysis Moore–Penrose inverse Numerical linear algebra
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