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There are three very common tags related to matrix decomposition/factorization, namely diagonalization, svd and jordan normal form.

I've seen some questions related to other matrix decompositions, namely $QR$ decomposition, Cholesky decomposition, Schur decomposition and $LU$ decomposition.

I would like to create a tag called matrix decomposition and have it included as synonyms the following terms: matrix factorization, $LU$ decomposition, $LU$ factorization, $QR$ decomposition, $QR$ factorization, Cholesky decomposition, Cholesky factorization, Schur decomposition, Schur factorization and triangularization.

I would like input on wether to include diagonalization, svd and jordan normal form in the synonym list above.

Side questions: do the tags need to exist for it to be possible to be included as synonyms? If there is no question tagged $LU$ decomposition, is it possible to include $LU$ decomposition as a synonym? If it isn't possible, why not allow us such prophylactic measures?

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    $\begingroup$ agreed. +1 for the last suggestion. $\endgroup$ – Guy Mar 14 '14 at 14:02
  • $\begingroup$ Maybe in analogy to [simplicial-stuff] we can have [matricial-stuff] too? :-) $\endgroup$ – Asaf Karagila Mar 14 '14 at 19:37
  • $\begingroup$ To the side question: it is possible to create a synonym from scratch, but you need more rep than the 2500 required to synonymize an existing tag. See here. Of course, a mod can create a tag synonym at once. // I don't think that svd and diagonalization should be merged into an umbrella tag. // The multitude of synonyms you propose looks excessive to me. For pretty much any tag one come up with half a page of terms that could appear within the tag; it does not mean we need so many synonyms. $\endgroup$ – user127096 Mar 27 '14 at 13:21

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