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matrix_factorization.md

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常用的矩阵分解

矩阵的常用分解

  • LU 分解:$$\pmb{A}=\pmb{LU}$$ ==> LU分解
  • QR 分解:$$\pmb{A}=\pmb{QR}$$ ==> 矩阵的QR分解
  • $$\pmb{S}=\pmb{Q\Lambda Q}^{\rm{T}}$$​​
  • $$\pmb{A}=\pmb{X}\pmb{\Lambda}\pmb{X}^{-1}$$
  • $$\pmb{A}=\pmb{U\Sigma V}^{\rm{T}}$$