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I know that the following decompositions apply to all matrices

  • Singular Value Decomposition
  • QR Decomposition
  • Schur Triangularization
  • Jordan Decomposition
  • LU Decomposition

Are there any other such decompositions applicable to all matrices which are known? Please don't reply with decompositions that are more or less derivatives or variations of the above.

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    you mean square matrix – 2017-01-31

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Matrix decomposition I think here you have almost all the decomposition of matrices possible.